Physics-
General
Easy
Question
Six
vectors,havethemagnitudesanddirectionsindicatedinthefigure.Whichofthefollowing
![](data:image/png;base64,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)
The correct answer is: ![stack d with rightwards arrow on top plus stack e with rightwards arrow on top equals stack f with rightwards arrow on top](data:image/png;base64,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)
Related Questions to study
Maths-
If
is defined by ![f open parentheses x close parentheses equals fraction numerator 1 minus x over denominator 1 plus x end fraction blank t h e n blank open parentheses f o blank f o blank f o f close parentheses open parentheses x close parentheses equals](data:image/png;base64,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)
If
is defined by ![f open parentheses x close parentheses equals fraction numerator 1 minus x over denominator 1 plus x end fraction blank t h e n blank open parentheses f o blank f o blank f o f close parentheses open parentheses x close parentheses equals](data:image/png;base64,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)
Maths-General
Physics-
Four massless springs whose force constants are 2k, 2k, k and 2k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction, then the frequency of oscillation of the system is
![](data:image/png;base64,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)
Four massless springs whose force constants are 2k, 2k, k and 2k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction, then the frequency of oscillation of the system is
![](data:image/png;base64,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)
Physics-General
Physics-
A man having a wrist watch and a pendulum clock rises on a TV tower. The wrist watch and pendulum clock per chance fall from the top of the tower. Then
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)
A man having a wrist watch and a pendulum clock rises on a TV tower. The wrist watch and pendulum clock per chance fall from the top of the tower. Then
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)
Physics-General
Physics-
A man weighing 60 kg stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude 0.1 m and frequency
. Which of the following statement is correct
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)
A man weighing 60 kg stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude 0.1 m and frequency
. Which of the following statement is correct
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)
Physics-General
Physics-
Time period of a block suspended from the upper plate of a parallel plate capacitor by a spring of stiffness k is T. When block is uncharged. If a charge q is given to the block them, the new time period of oscillation will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJEAAACTCAYAAACOEPsoAAAPtklEQVR4nO2da2yT1R+An962dusK3YVtZVtn2UQ32MULgg5BLhOCEhON18RFjR+EEE3QD5gYowGERP1mIpIQjCEGhYTMD0j4IMpUEGVusAuwG4x1dGvX9bK16/X/wbQZY9uf8W7r2p0nabK8t/N722fnd877nve8snA4HEYgkIA81gEI4h8hkUAyQiKBZIREAskIiQSSERIJJCMkEkhGSCSQjJBIIBkhkUAyQiKBZIREAskIiQSSERIJJKOcaEUoFOLbb7+dzVgEM8yaNWswmUzTftwJJQLwer3TXqAgdgSDwRk5rkhnAskIiQSSERIJJCMkApxOJwMDA7EOI26ZsGEtk8moqqqazVhixunTp3E4HGzdujXWocwoWVlZM3LcSSVavnz5jBQ61zh//jwul2venO90I9KZQDJCIoFkhEQCyQiJBJIREgkkIyQSSEZIJJCMkEggGSGRQDKTjidKRPx+Pzabja6uLmw2G16vlwsXLpCfnx/r0OKWeSNRIBDg8uXLXLp0ib6+Pvx+P8FgkFAohMViwWAwxDrEuGVeSOT1evn111+pr69nZGSEgoICTCYTRqOR1NRUdDodSUlJsQ4zbkl4ibxeL2fPnqW+vp6MjAw2btyI0WhEJpPFOrSEIeElstls3Lx5k0WLFrFp0yZyc3OFQNNMwvfOHA4HdrudJUuWkJGRMa5Adrudjo4OrFYrgUAgBlHGNwlfEymVSpRKJQ6HA5/Ph1KpxG6343Q6GRkZwefz0d7eTkdHBwaDgYqKCoqLi1GpVLEOPW5IeIlycnJYvHgxV65cQS6Xo9Fo6OvrY3BwEK/Xi9/vJyMjg+LiYtra2vB4PBgMBhYuXBjr0OOGhJcoLS2NBx98ELPZTH19PTKZDIVCQXp6OiaTiQULFmA0GvH7/ZjNZux2u0hpUyThJRoZGcFisTA0NIRarcbr9RIIBHA4HPj9fhwOBw6HA7PZzODgIEajkeTk5FiHHVckvER2u50bN26Qk5PDU089hU6no6GhAYvFgsPhwO124/F48Pv9VFZWUllZSWpqaqzDjisSXqJbt27R09NDdXU1eXl5KBQKnnzyScZ7G4VMJkMuT/gO67QTlxJ1d3dz5MgRVq5cydq1ayfdVq/Xk5mZydWrV8nPz0etVnPt2jW6urpwOBwMDw/jcrnQaDQUFhayatUqsrOzxbWkKRCXEtntdq5du8azzz77f7fNycnBaDTy999/89133xEMBvH5fCQlJZGUlIRSqUSv1+Pz+WhqasJisfDSSy+h1+tn4UwSg7iTKBwO09/fj9VqJT09nQsXLpCamkpRUdG4979UKhXZ2dmkpqbidrsJhUIkJSWRlZVFTk4OmZmZZGRk0NXVRUNDAw6HY8Zmz0hU4k4in89Hd3c3CxYs4MyZM/zyyy9s2LCBgoKCcSVyOp1cvXqVcDhMWVkZAFarlcHBQex2O0qlErVazcDAADqdjoqKCtGwniJxKVF7ezttbW1cuHCBt956i8cee2zC7fv6+ujt7aWkpITVq1eTnJxMT08PHR0d9PX1Rbv6JpOJiooKCgoK0Gg0s3hG8U/cSTQyMoLZbGbhwoV4vV6WLl066faRXlgoFMLv93Pz5k06Ozvp7+/H4XDg8XgIBAJotVqGh4dFKrsH4k4in8+Hw+HgjTfe4MSJE/z222+TTsSQk5ODwWCgqakJm83G4OAgTqeTzMxMCgoKyMzMxGw209raGr3jv27dOpHSpkBcXRQJh8OYzWbkcjlbtmxh5cqV1NXV0dvbO+E+Op2O8vJyUlJS6OjowGazkZWVRUVFBaWlpZSUlFBdXc369euRyWRcunSJ4eHhWTyr+EcWb++AjXTRNRpNdIhrUlLSpBcJb9y4walTp7Barfj9/uhFRZlMhlarJS0tjd7eXgKBAAaDgRdeeEHcgJ0CcZfOFApFtOGrUqnuashGpP2zbt06li1bRktLC62trfj9/uhwkJSUFEwmE48//rgQaIrEVTq7VyID8mUyGcFgkLy8PEpKSkhLS0MulzM0NITf78flctHa2ordbh/3tohgfOIund0LZrOZkydP4na7WbRoUTR1paSkoFarUSgUALhcLpxOJ8uWLWPLli1iYNpdEnfp7F7IzMxEr9fT09PD4OAgAMXFxZhMJhYvXoxOpyMcDlNfX88///zD9evXCQaDQqK7ZF5I5HK58Hq9aLVa1Go1VqsVh8NBZ2cnVqsVjUZDKBTCbDbj9/sxGAzibv4UmBcSWSwWrFYr999/P0uXLsXlctHe3o7D4aCvr4/h4WHkcjnp6emUlJRQXl6OUjkvvpppYV58U06nE4/HQ15eHiaTiVAohEajoa2tjf7+fkKhEKFQCL1eT2FhIbm5uaImmgLzQqL09HS0Wi2NjY04nU66u7ujz+EHAgFCoRDhcJj29nZu3rzJ8PAwK1asiDa4BZMzLyQqLCxk0aJFtLa20t3dTTAYxGg0Ul5ejsFgiN7iuHz5Mg0NDVy8eJGHHnpISHSXzAuJRl/VDgaDhMNhNBoNGo2GpKQk0tLS8Pv9UWlCoVCMI44v5oVEFouFW7dukZubS25uLu3t7Vy/fp329vZoewj+e9BRpVJRWVkpGtZTYF58U1arFafTydq1a6msrGTz5s00NTUxMDCA0+nE5XIhl8ujd/yNRqNIZVNgXkgkl8uRy+W43W6CwSBKpZLS0tJYh5UwzIt+bGTcUH19PRcvXsTj8cQ6pIRiXtw7C4VCNDc3c/bsWdxuN0VFRRQWFpKRkYFOpyMlJUVMciWBeSER/DdXY09PD3/99Retra1otVpSU1NJTk5Gr9dTWVlJQUFBrMOMS+aNRPDfyEiXy4Xb7aaxsRGbzcb169cZHBzk9ddfZ9myZbEOMS6ZFw3rCDKZDJ1Oh06nIzMzk1AoxOnTp/npp5944IEHYh1e3DKvJBpNpA2kVCoJh8PiupAE5kXvTDCzCIkEkhESCSQjJBJIRkg0x2lqaqK/vz/WYUyKkGiO8+OPP9LS0hLrMCZFSDTH6e3txeVyxTqMSRESCSQjJBJIRkgkkIyQSCAZIZFAMuKuY4IzODhIXV0dnZ2d0WU1NTXodLppK2NeSNTf38+JEyfo6Oi4Y117eztXr15l165dUzrm9u3bycvLm64QZ4yOjg6OHz9Oeno6WVlZwPQ/EpXwElmtVr755huam5uj0wuPni1fo9GQkZGB0WiMLptoNv22tjaOHTtGV1cXzz//fFxI1NvbS1JSEh988AE5OTkzUkZCSzQwMMDBgwdpbGykpqaGsrIyVCoVMpksKorX68Xj8ZCenn6bPGNF6uzs5OzZs6xYsSJu3kLk8/kwm83U1tbS3NxMVlYWe/funfYBeAkrkcvl4tChQ9TV1bFjxw6WL18efZYsMiJYJpOhVqtRq9XR5RF5Rv/d09PDF198wfDwMO+99x6fffZZDM5o6rjdbux2O9u2beOVV15BoVDMyKvbE1KikZERDh8+zA8//MCePXsoLS2NzvIRkWO0SKMZK5LdbmfPnj309/fz6aefUlRUFDcPNjqdTvr7+3n66acpKiqasXISTiKfz8fhw4c5cOAAX375JSUlJcD4tcxokcZb73A4+Oijj+ju7mb//v2YTKa4evuQx+PB5XKRnp6OzWZDpVKRmpo67f8ECSfRwYMH2bVrF5988gkAzc3NALe1g8a2fSZqC3311Vf09PSwd+9eCgsLAeJqQlC/38+5c+c4d+4cACtXruTDDz+c9kejEk6id999l6qqKmpra6mtrQXulGYsE9UudXV1nDx5MtpzC4fD0U88UFZWxr///jvj5SScRAAHDhy47S2Kkdpm7Gf0uvH+XrJkCfn5+UB81UCzTUJKNPqlMHK5fEIBxmsXjf57oo/gdua0ROfPn+fYsWPYbDaeeOIJ1Go1r7322v/db/QPLUWkyLGEQJMzZyVqaWnh+PHjFBcXs3HjRvbv38+LL754V/uO/bEjItntdr7++msMBgNnzpwhPz+fl19+mc8//5zs7GxqamooLy+/bf+xAgmR7mTO3sU/d+4cycnJbN26lerqaoaGhli9evVd7TteCgqFQlitVk6fPo1KpWLnzp20tLRw6NAhdu7ciUwm48qVK+PKMnqZkOhO5mRN5Ha7aW1tpaCggOzsbMxmM52dnXd9uX6iH/rKlStUVVXx3HPPEQqFUKlUvPnmm+Tm5rJgwQLUavUd6Wx0OhQCjc+crYlkMhkWiwWLxcK2bduoqKi467mlI1MKj/00NjZSUlJCUlISPp8Pt9tNaWkpbrcbvV5Pbm4uwB3pKxaN6/HKmKsSz0mJtFotzzzzDA0NDaxfvx6NRjOlaV8i6Wv0jx4IBLBYLBQVFSGTyaivr+fhhx8mHA7T29tLMBgkKyvrjnQWi1Q2MjKC3W4nEAhEl/l8Pm7dujUr5U+VOZnOAKqqqqiqqgLg7bffZtWqVXe979guPsDQ0BD33XcfixcvJhwOMzw8TGVlZXTbyITp46Wz0ceZDZF8Ph+NjY2kpqbi8/nweDycOnUKrVYbrS3nEnNWotGUlZXxyCOP3PX243XxtVot77zzTrQbv3nz5qgojz76KCtWrLitiz/2eLOZytLS0lAoFBw9epTm5mbC4TAKhYJ9+/bNeNn3wpxMZ2PZsWNH9N7V3TBez2yitk1klN9E7Z5YtYmWL1+OSqXi0qVL1NbWsmHDBvR6/YyXey/ERU00VUann8mWjV03nhxjBRwYGJiV2WcXLlzI+vXrOXnyJPn5+axatWrOTsQ1N6OSSKSGmQ6Rxgp05MgRdDrdrNQKK1euZNOmTZSXl8/JtlCEhJQoIsR0iBSpiex2O99//z1tbW28//77szLTrFarZfv27aSlpc3pKZITUqLRNdFURRo7YC0cDuN0Ojl69CgNDQ18/PHHrFmzZtZGN+bl5c35gXAJKdFYgaYiUmR55Idzu92cOHGC33//nX379rFu3bpZOYcIc10gSFCJxquJ7kWkYDDI8ePH+eOPP9i9ezcbN26crVOIKxJSoosXL0YHmEUkidQuYwegjR28NnpdIBDgzz//ZPfu3WzevDk2JxMHJNyM+jU1NdP2hKdCoeDVV1+lurp6Wo6XqCScRILZJy6uWAvmNkIigWSERALJCIkEkhESCSQjJBJIRkgkkIyQSCAZIZFAMkIigWSERALJCIkEkhESCSQjJBJIRkgkkIyQSCCZCYfHhsNhurq6ZjMWwQyTlZWFVqud9uNOKtHPP/887QUKYseGDRsoLi6e9uOKdCaQjJBIIBkhkUAyQiKBZIREAslM+gRs5D1ggsRgpiahEA8vCiQj0plAMkIigWSERALJCIkEkhESCSQjJBJIRkgkkIyQSCAZIZFAMv8DM5Vd/hXsPioAAAAASUVORK5CYII=)
Time period of a block suspended from the upper plate of a parallel plate capacitor by a spring of stiffness k is T. When block is uncharged. If a charge q is given to the block them, the new time period of oscillation will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJEAAACTCAYAAACOEPsoAAAPtklEQVR4nO2da2yT1R+An962dusK3YVtZVtn2UQ32MULgg5BLhOCEhON18RFjR+EEE3QD5gYowGERP1mIpIQjCEGhYTMD0j4IMpUEGVusAuwG4x1dGvX9bK16/X/wbQZY9uf8W7r2p0nabK8t/N722fnd877nve8snA4HEYgkIA81gEI4h8hkUAyQiKBZIREAskIiQSSERIJJCMkEkhGSCSQjJBIIBkhkUAyQiKBZIREAskIiQSSERIJJKOcaEUoFOLbb7+dzVgEM8yaNWswmUzTftwJJQLwer3TXqAgdgSDwRk5rkhnAskIiQSSERIJJCMkApxOJwMDA7EOI26ZsGEtk8moqqqazVhixunTp3E4HGzdujXWocwoWVlZM3LcSSVavnz5jBQ61zh//jwul2venO90I9KZQDJCIoFkhEQCyQiJBJIREgkkIyQSSEZIJJCMkEggGSGRQDKTjidKRPx+Pzabja6uLmw2G16vlwsXLpCfnx/r0OKWeSNRIBDg8uXLXLp0ib6+Pvx+P8FgkFAohMViwWAwxDrEuGVeSOT1evn111+pr69nZGSEgoICTCYTRqOR1NRUdDodSUlJsQ4zbkl4ibxeL2fPnqW+vp6MjAw2btyI0WhEJpPFOrSEIeElstls3Lx5k0WLFrFp0yZyc3OFQNNMwvfOHA4HdrudJUuWkJGRMa5Adrudjo4OrFYrgUAgBlHGNwlfEymVSpRKJQ6HA5/Ph1KpxG6343Q6GRkZwefz0d7eTkdHBwaDgYqKCoqLi1GpVLEOPW5IeIlycnJYvHgxV65cQS6Xo9Fo6OvrY3BwEK/Xi9/vJyMjg+LiYtra2vB4PBgMBhYuXBjr0OOGhJcoLS2NBx98ELPZTH19PTKZDIVCQXp6OiaTiQULFmA0GvH7/ZjNZux2u0hpUyThJRoZGcFisTA0NIRarcbr9RIIBHA4HPj9fhwOBw6HA7PZzODgIEajkeTk5FiHHVckvER2u50bN26Qk5PDU089hU6no6GhAYvFgsPhwO124/F48Pv9VFZWUllZSWpqaqzDjisSXqJbt27R09NDdXU1eXl5KBQKnnzyScZ7G4VMJkMuT/gO67QTlxJ1d3dz5MgRVq5cydq1ayfdVq/Xk5mZydWrV8nPz0etVnPt2jW6urpwOBwMDw/jcrnQaDQUFhayatUqsrOzxbWkKRCXEtntdq5du8azzz77f7fNycnBaDTy999/89133xEMBvH5fCQlJZGUlIRSqUSv1+Pz+WhqasJisfDSSy+h1+tn4UwSg7iTKBwO09/fj9VqJT09nQsXLpCamkpRUdG4979UKhXZ2dmkpqbidrsJhUIkJSWRlZVFTk4OmZmZZGRk0NXVRUNDAw6HY8Zmz0hU4k4in89Hd3c3CxYs4MyZM/zyyy9s2LCBgoKCcSVyOp1cvXqVcDhMWVkZAFarlcHBQex2O0qlErVazcDAADqdjoqKCtGwniJxKVF7ezttbW1cuHCBt956i8cee2zC7fv6+ujt7aWkpITVq1eTnJxMT08PHR0d9PX1Rbv6JpOJiooKCgoK0Gg0s3hG8U/cSTQyMoLZbGbhwoV4vV6WLl066faRXlgoFMLv93Pz5k06Ozvp7+/H4XDg8XgIBAJotVqGh4dFKrsH4k4in8+Hw+HgjTfe4MSJE/z222+TTsSQk5ODwWCgqakJm83G4OAgTqeTzMxMCgoKyMzMxGw209raGr3jv27dOpHSpkBcXRQJh8OYzWbkcjlbtmxh5cqV1NXV0dvbO+E+Op2O8vJyUlJS6OjowGazkZWVRUVFBaWlpZSUlFBdXc369euRyWRcunSJ4eHhWTyr+EcWb++AjXTRNRpNdIhrUlLSpBcJb9y4walTp7Barfj9/uhFRZlMhlarJS0tjd7eXgKBAAaDgRdeeEHcgJ0CcZfOFApFtOGrUqnuashGpP2zbt06li1bRktLC62trfj9/uhwkJSUFEwmE48//rgQaIrEVTq7VyID8mUyGcFgkLy8PEpKSkhLS0MulzM0NITf78flctHa2ordbh/3tohgfOIund0LZrOZkydP4na7WbRoUTR1paSkoFarUSgUALhcLpxOJ8uWLWPLli1iYNpdEnfp7F7IzMxEr9fT09PD4OAgAMXFxZhMJhYvXoxOpyMcDlNfX88///zD9evXCQaDQqK7ZF5I5HK58Hq9aLVa1Go1VqsVh8NBZ2cnVqsVjUZDKBTCbDbj9/sxGAzibv4UmBcSWSwWrFYr999/P0uXLsXlctHe3o7D4aCvr4/h4WHkcjnp6emUlJRQXl6OUjkvvpppYV58U06nE4/HQ15eHiaTiVAohEajoa2tjf7+fkKhEKFQCL1eT2FhIbm5uaImmgLzQqL09HS0Wi2NjY04nU66u7ujz+EHAgFCoRDhcJj29nZu3rzJ8PAwK1asiDa4BZMzLyQqLCxk0aJFtLa20t3dTTAYxGg0Ul5ejsFgiN7iuHz5Mg0NDVy8eJGHHnpISHSXzAuJRl/VDgaDhMNhNBoNGo2GpKQk0tLS8Pv9UWlCoVCMI44v5oVEFouFW7dukZubS25uLu3t7Vy/fp329vZoewj+e9BRpVJRWVkpGtZTYF58U1arFafTydq1a6msrGTz5s00NTUxMDCA0+nE5XIhl8ujd/yNRqNIZVNgXkgkl8uRy+W43W6CwSBKpZLS0tJYh5UwzIt+bGTcUH19PRcvXsTj8cQ6pIRiXtw7C4VCNDc3c/bsWdxuN0VFRRQWFpKRkYFOpyMlJUVMciWBeSER/DdXY09PD3/99Retra1otVpSU1NJTk5Gr9dTWVlJQUFBrMOMS+aNRPDfyEiXy4Xb7aaxsRGbzcb169cZHBzk9ddfZ9myZbEOMS6ZFw3rCDKZDJ1Oh06nIzMzk1AoxOnTp/npp5944IEHYh1e3DKvJBpNpA2kVCoJh8PiupAE5kXvTDCzCIkEkhESCSQjJBJIRkg0x2lqaqK/vz/WYUyKkGiO8+OPP9LS0hLrMCZFSDTH6e3txeVyxTqMSRESCSQjJBJIRkgkkIyQSCAZIZFAMuKuY4IzODhIXV0dnZ2d0WU1NTXodLppK2NeSNTf38+JEyfo6Oi4Y117eztXr15l165dUzrm9u3bycvLm64QZ4yOjg6OHz9Oeno6WVlZwPQ/EpXwElmtVr755huam5uj0wuPni1fo9GQkZGB0WiMLptoNv22tjaOHTtGV1cXzz//fFxI1NvbS1JSEh988AE5OTkzUkZCSzQwMMDBgwdpbGykpqaGsrIyVCoVMpksKorX68Xj8ZCenn6bPGNF6uzs5OzZs6xYsSJu3kLk8/kwm83U1tbS3NxMVlYWe/funfYBeAkrkcvl4tChQ9TV1bFjxw6WL18efZYsMiJYJpOhVqtRq9XR5RF5Rv/d09PDF198wfDwMO+99x6fffZZDM5o6rjdbux2O9u2beOVV15BoVDMyKvbE1KikZERDh8+zA8//MCePXsoLS2NzvIRkWO0SKMZK5LdbmfPnj309/fz6aefUlRUFDcPNjqdTvr7+3n66acpKiqasXISTiKfz8fhw4c5cOAAX375JSUlJcD4tcxokcZb73A4+Oijj+ju7mb//v2YTKa4evuQx+PB5XKRnp6OzWZDpVKRmpo67f8ECSfRwYMH2bVrF5988gkAzc3NALe1g8a2fSZqC3311Vf09PSwd+9eCgsLAeJqQlC/38+5c+c4d+4cACtXruTDDz+c9kejEk6id999l6qqKmpra6mtrQXulGYsE9UudXV1nDx5MtpzC4fD0U88UFZWxr///jvj5SScRAAHDhy47S2Kkdpm7Gf0uvH+XrJkCfn5+UB81UCzTUJKNPqlMHK5fEIBxmsXjf57oo/gdua0ROfPn+fYsWPYbDaeeOIJ1Go1r7322v/db/QPLUWkyLGEQJMzZyVqaWnh+PHjFBcXs3HjRvbv38+LL754V/uO/bEjItntdr7++msMBgNnzpwhPz+fl19+mc8//5zs7GxqamooLy+/bf+xAgmR7mTO3sU/d+4cycnJbN26lerqaoaGhli9evVd7TteCgqFQlitVk6fPo1KpWLnzp20tLRw6NAhdu7ciUwm48qVK+PKMnqZkOhO5mRN5Ha7aW1tpaCggOzsbMxmM52dnXd9uX6iH/rKlStUVVXx3HPPEQqFUKlUvPnmm+Tm5rJgwQLUavUd6Wx0OhQCjc+crYlkMhkWiwWLxcK2bduoqKi467mlI1MKj/00NjZSUlJCUlISPp8Pt9tNaWkpbrcbvV5Pbm4uwB3pKxaN6/HKmKsSz0mJtFotzzzzDA0NDaxfvx6NRjOlaV8i6Wv0jx4IBLBYLBQVFSGTyaivr+fhhx8mHA7T29tLMBgkKyvrjnQWi1Q2MjKC3W4nEAhEl/l8Pm7dujUr5U+VOZnOAKqqqqiqqgLg7bffZtWqVXe979guPsDQ0BD33XcfixcvJhwOMzw8TGVlZXTbyITp46Wz0ceZDZF8Ph+NjY2kpqbi8/nweDycOnUKrVYbrS3nEnNWotGUlZXxyCOP3PX243XxtVot77zzTrQbv3nz5qgojz76KCtWrLitiz/2eLOZytLS0lAoFBw9epTm5mbC4TAKhYJ9+/bNeNn3wpxMZ2PZsWNH9N7V3TBez2yitk1klN9E7Z5YtYmWL1+OSqXi0qVL1NbWsmHDBvR6/YyXey/ERU00VUann8mWjV03nhxjBRwYGJiV2WcXLlzI+vXrOXnyJPn5+axatWrOTsQ1N6OSSKSGmQ6Rxgp05MgRdDrdrNQKK1euZNOmTZSXl8/JtlCEhJQoIsR0iBSpiex2O99//z1tbW28//77szLTrFarZfv27aSlpc3pKZITUqLRNdFURRo7YC0cDuN0Ojl69CgNDQ18/PHHrFmzZtZGN+bl5c35gXAJKdFYgaYiUmR55Idzu92cOHGC33//nX379rFu3bpZOYcIc10gSFCJxquJ7kWkYDDI8ePH+eOPP9i9ezcbN26crVOIKxJSoosXL0YHmEUkidQuYwegjR28NnpdIBDgzz//ZPfu3WzevDk2JxMHJNyM+jU1NdP2hKdCoeDVV1+lurp6Wo6XqCScRILZJy6uWAvmNkIigWSERALJCIkEkhESCSQjJBJIRkgkkIyQSCAZIZFAMkIigWSERALJCIkEkhESCSQjJBJIRkgkkIyQSCCZCYfHhsNhurq6ZjMWwQyTlZWFVqud9uNOKtHPP/887QUKYseGDRsoLi6e9uOKdCaQjJBIIBkhkUAyQiKBZIREAslM+gRs5D1ggsRgpiahEA8vCiQj0plAMkIigWSERALJCIkEkhESCSQjJBJIRkgkkIyQSCAZIZFAMv8DM5Vd/hXsPioAAAAASUVORK5CYII=)
Physics-General
Physics-
The period of a simple pendulum, whose bob is a hollow metallic sphere, is T. The period is T1 when the bob is filled with sand, T2 when it is filled with mercury and T3 when it is half filled with mercury. Which of the following is true
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)
The period of a simple pendulum, whose bob is a hollow metallic sphere, is T. The period is T1 when the bob is filled with sand, T2 when it is filled with mercury and T3 when it is half filled with mercury. Which of the following is true
![](data:image/png;base64,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)
Physics-General
Physics-
The variation of potential energy of harmonic oscillator is as shown in figure. The spring constant is
![](data:image/png;base64,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)
The variation of potential energy of harmonic oscillator is as shown in figure. The spring constant is
![](data:image/png;base64,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)
Physics-General
Physics-
Acceleration A and time period T of a body in S.H.M. is given by a curve shown below. Then corresponding graph, between kinetic energy (K.E.) and time t is correctly represented by
![](data:image/png;base64,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)
Acceleration A and time period T of a body in S.H.M. is given by a curve shown below. Then corresponding graph, between kinetic energy (K.E.) and time t is correctly represented by
![](data:image/png;base64,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)
Physics-General
Physics-
A body of mass 0.01 kg executes simple harmonic motion (S.H.M.) about
under the influence of a force shown below : The period of the S.H.M. is
![](data:image/png;base64,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)
A body of mass 0.01 kg executes simple harmonic motion (S.H.M.) about
under the influence of a force shown below : The period of the S.H.M. is
![](data:image/png;base64,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)
Physics-General
Physics-
The velocity-time diagram of a harmonic oscillator is shown in the adjoining figure. The frequency of oscillation is
![](data:image/png;base64,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)
The velocity-time diagram of a harmonic oscillator is shown in the adjoining figure. The frequency of oscillation is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOIAAACSCAYAAABYMhYWAAAgAElEQVR4nO2dd1iUx9r/vywuIL0sTVcQAWmKBVA0goqiQAwxlkNsR6yoaDTqq+dVLMToMR41RjzH2BBiP4odBQuoIE0hUWCDAtKLuCywu7QFdn5/+Lq/IEWQbcDzua79Y5l55r6fZb8788zcc48CIYSAgoJCptBk7QAFBQUlRAoKuYASIgWFHEAJkYJCDqCESEEhB1BCpKCQAyghUlDIAZQQKSjkAEqIFBRyACVECgo5gBIiBYUcIHYhhoeHIysrS9zNUlD0aPqIu8Fbt25BQUEBFhYW4m6agqLHQg1NKSjkgE4LkcvlIiIiAsnJyZLwh4KiV9KmEBsaGnDt2rUWfz9//jx++OEHHDt2TKKOUVD0JtoUYmZmJi5dutTsbykpKcjKysK4ceNAp9NbXJOdnY38/HxcuXIF586dQ05Ojvg9pujREEKQk5ODS5cu4cCBA2hqapK1S1KhzcmajIwMjBw5UvSezWbj3r17mDJlCnJzc/Hy5csW1xQXF4PNZuPx48d4+PAhzM3NMWvWLPj6+kJVVVUyd0DRY8jKysL58+cRExODrKwsVFZWIj4+Hl5eXli8eLGs3ZMoLYT4/fffIyEhAWw2G01NTXj48CF8fX0hFAqhrKwMBwcHFBUVtdrY8OHDYWVlhWHDhkEoFOLcuXNIT09HYmIiNm3aBDs7O4nfEEX3o7q6GtevX8fJkyeRkpICXV1duLu7Y8yYMTA1NYW/v3+PFyLIR7DZbFJUVESmTp1Knj17RkpKSkhpaSnZuHEj0dLSIsbGxkRbW5uoqamRRYsWfXw58fPzI9evXydcLpckJCQQFxcXQqfTiYuLC3n58mWL+hS9m9raWhIYGEg0NTWJgYEBWbt2LUlNTSVcLpcIBALS1NRE9PX1Ze2mxGkhREIIEQqFRENDo82LgoODib+/f6tlfn5+JDw8XPS+vr6eLFy4kCgoKBBXV1fy4sWLLrpM0VNoamoi/v7+BACxsbEhd+7cabVeaz/4PY1WJ2uKioowbty4NntRdXV16OnpdajHVVJSwoEDB7Bs2TI8f/4ce/fuRW5uLkg3TB5XV1cHDocDoVAocVs8Hg+VlZWdssXj8VBeXt5mWXV1tbjc6zJcLhdr1qzB0aNH4eDggGPHjsHT07PVusHBwVL2TgaIW9kf94gfyM3NJQsWLCAGBgZk+/btpLy8XNymxQKXyyWpqanN/lZWVkYyMzPJmTNnyJ49ewifzydCoZCkpqaSgoICsfsgEAjInj17SFBQEKmuru7wdQEBAWT//v2tlp05c4b8+uuv4nKxS7DZbLJp0yZCo9GIk5MTSUlJabd+cnKylDyTHVKLrDE1NcX69esxfPhwnDlzBnfv3kVdXZ20zHeYnJwcLFy4UPS+rq4O165dQ3BwMP773/9i7Nix6Nu3LwghiIyMRGpqqth9SEtLw6tXrzBx4sQOzzazWCxER0e3OakxbNgwREZGitPNz4LH4+HYsWP49ddfMWLECBw+fBgjRoxo95p58+ZJyTvZIfZY0/aws7PD8uXLsXXrVhw8eBBmZmZwdnYGjSY/kXYmJiZITU0Fl8uFpqYmMjIy8Pr1awwZMgR8Ph9GRkag0WgQCoXo27cvPD09wWKxkJKSAkIICgoK4OXlhaFDh0JRUVHU7sd1Zs6cifj4eJSUlIDJZGLBggUA3n9Rb9++jfHjx8PMzAxnzpxBQUEB1NTUMGfOHKioqODx48eiH4CFCxeif//+2LBhA9atWwcdHR1wOBw8fPgQmZmZcHJywhdffAEtLS2J/Gh0BqFQiMjISBw/fhxMJhMHDx6Es7PzJ69ra7jdk5CqAuh0OiZNmoT58+cjPz8fQUFBqK2tlaYLn0RbWxt6enooKCgAj8dDQkICDAwMoKmpCR0dHairqwN4H/Bw6tQpNDQ0IDY2FidPnkRFRQXS09Px8OFDCAQCUZsNDQ14+vQpTpw4gYqKCrBYLAQEBIDNZkNLSwt79uxBZWUlACAhIQE8Hg/Ozs5IS0vDnTt3oKOjAy0tLTQ0NCAuLg4pKSnQ0dFBYmIiYmJikJmZieTkZHh4eKC6uhrh4eGIiYmBjo4Obt++jcLCQnC5XJl8nn8lJSUFx44dAyEEgYGBcHFx6dB1X331lYQ9kz1S74q0tbWxZMkSuLm54d69ezh//ry0Xfgkrq6uKC4uRl5eHv78809MmzYNjY2NUFBQEPVyLBYLzs7O4PP5qKysxMSJE7Fw4UKMHz8eysrKzdrj8/moqKgQ1bG3t0e/fv0wf/58TJ8+HdXV1VBRUcG7d+/AYrHg5OQEc3NzlJWVIT09HXZ2dvD19YVAIMCvv/6KsLAw3LlzB6qqqhg4cCASExMxfvx4qKur4+3bt3j27Bm+/PJLrFy5EsuXL4ehoSGKi4thbGwsi48TwPsJwODgYMTHx8PX1xceHh5QUFDo0LXbt2+XsHeyRyZjQmNjYyxfvhxqamrYunUrMjIyZOFGmwwdOhQsFgv379+HpaUlrKysWtSJi4uDjY0NKisrweFw4OzsDC0tLbx69QoaGhrNhqVVVVXgcDgYM2YMtLS0UFxcjIkTJ0JPTw/5+flwdHSEiooKEhMT8fr1a7i4uEBJSQkTJkzAhQsXcPToUWzZsgXv3r1DTU0N/v3vf2P37t3Ys2cPRo4ciZiYGHh4eAB4P4zLy8vDsGHDALx/HNDS0sKzZ88wYcIE6XyAH9HQ0IB79+7h6tWrcHNzw9y5c6Gmptbh6zs6Q9+dkdnD2YQJE7BkyRJwuVy5+8UbOHAgbt26hdu3b2P58uVQVFSEjo4OqqurUV9fDwD4888/4ejoiJqaGjQ0NIj2X+bl5cHKygpKSkqi9v5ah8PhoKqqCqampqDT6YiLi4Obmxtyc3MRGxsLb29vGBoaAni/TGRnZwcPDw8UFBSgqakJTU1NGDBgAOzt7WFmZgYlJSXU1NSIvthNTU3g8Xiora1FTEwM4uLiUF9fj5CQEMyZM0fKn+R70tPTcerUKWhpaWH16tWwtLTscG8IvI/Y6unITIiKiorYvHkzrK2tcePGjRYB5rKgsloINrcJmgxT/MHKw7d/XwlunSLY3CboGpkju4CD/FIe2NwmxMXFwdnZGVVVVaioqIC5uTlyc3Nhbm7e4hecy+WCw+HA3NwcBQUF0NTUFAknNjYWAwYMQEJCAoqKijB16lQoKCggISEBI0aMgKamJr777jucOXMGAwcOhJmZGezt7aGpqYnNmzejvLwcioqKovVGU1NTmJubY9iwYQgKCgKDwUBUVBQcHR1hbW0t9c+0oqIC58+fR1JSEmbNmoWxY8d2enJOHp5vJY0CIeJdWV+xYgW8vb3h5eXVofo3b97E3LlzMWTIEISHh8t0GLI8qAyvChvaLK+rq0NtbS30Gdp4uIcpNrvZ2dnYsWMHNmzY8Mmp/NY4e/YsMjMzERgY2KKssrISa9aswfr169tsWygUora2Fn379hXrDLZQKERcXBzmzp0LGxsb7Nu3TzRk7gwODg49fv+rVJcvWsPb2xuzZ89GWFgYjhw5gv/93/9tNqyTJl86qWG0VdvbbnJy2GCls7Bw2lSx2n316hVsbW0/S4QAMGXKlDafsxMTE+Hp6dnqc+4HBAIBUlJSQKfTYWZmJhoad5Xy8nLs27cPQqEQPj4+nyVCADhz5oxY/JFnZN4jAkBqaiq++uoraGpq4vTp03BwcBCnSx1m738rkPeu8ZP1tNVo+Kdvz5pAyM/Px6lTp8Bms+Ht7Q17e/suz7KeO3cOS5cuxYwZM/Cvf/0L/fr1+6x2CgoKMGDAgC75Iu/IvEcEABsbGyxduhT79u3DxYsXMXjwYGhoaIjdTmxsLO7du9dmOYfXBNKBfag0TRq2b+/4ZEN3obCwECEhIbh//z6mTJmCZcuWwdbWttVN4J+irKwM+/fvh4GBAebPn//ZIgSAwMBAnDx58rOv7w7IhRAVFRUxc+ZMXL9+HQ8ePICXlxcmTpwodjva2toYNGhQm+Vtl/QOCCFQVVWFqqoqDA0Noa6u/tnPjL/99htYLBb+/ve/d3jhvi1u3rzZpeu7A3IhRAUFBZiZmWHRokXYtGkTbty4gaFDh4LBYIjVzpAhQzBkyBCxttlTyMzMxOvXr7F161Z8+eWXMDExgba29me19fr1axw6dAhqampYuXKlKBqJom3kQogAoKysDDc3N4wdOxb379/Hl19+CXd3d1m71Wvg8/lYsWIFdHV1uyycY8eOoaSkBOvWrYO9vX2XfUtISOhyG/KO3ERbKygoYPDgwaI41GvXruHt27eydqvXMHz4cJiYmHRZhImJibhw4YIoaqpPn67/1rf3ONFTkBshAu+fFZ2dnTF58mSEh4cjLS2tW24g7o50JtKlLRoaGhAcHIzKykoEBgZCV1dXDJ4BO3fuFEs78oxcCREArKys8M0330AgEOD8+fN49+6drF2i6CDR0dGIioqCpaUlVq9eLbZ2//Of/4itLXlF7oQIAOPGjcMXX3yBe/fuIT09XSqpKSi6Bo/Hw82bN8Fms7Fu3TqxDEk/oKmpKba25JVOCTEqKgqHDx/G4cOHkZeXJymfMGjQIHh4eEAoFCIkJETu9ixStCQpKQkxMTGwtraGl5eXWIa6H1i3bp3Y2pJX2hSiQCDAiRMnRO9zc3Px+++/o6qqCqmpqdi3b59EHfPw8MDIkSMRERGB58+fS9QWRdeorKxEZGQkCgoK4Ovr+9nLHm0hzmGuvNKmEFksFh49eiR6r66uDh8fH2zevBnr1q3D1atXJeoYk8mEt7c3CCEICgqSqC2KrpGWlobo6GjY2trCxcWlxcborrJ//36xtiePtCnErKwsjBo1SvSewWCAyWRCSUkJr169gqWlpcSdmz17NoYOHYp79+7h4cOHErdH0Xmqqqrw4MEDZGRkYMaMGRg4cKDYbRw9elTsbcodH6d1W7BgATExMSG6urpER0eHDB06lBw/flxU/vbtW+Lo6Eiys7NbTQvn5+dHGAwGYTKZ5Msvv+xymrnTp08TNTU1MmXKlC63RSF+kpOTibOzMxk7dixJSkqSiI1em+mbEEK8vb1b5OwUCoXE09OThIaGkoaGhlavayuvaVdwdHQkdDqd3Lp1S6ztUnQNPp9P9u/fTwCQgIAAUlNTIxE727Ztk0i78kSrQ9PGxkbExMSAyfz/m18zMzPh6ekpCkMrKipCTU2NVHrtjRs3AngfOiWPuVB7K4WFhQgLC4OTkxOmTJmCvn37SsTODz/8IJF25YlWhchms/H11183+1tubi7U1NRw8+ZNLF68GAsWLEBSUpJUnPTx8YGDgwMSExNx584dqdikaB+BQICYmBikpKRgzJgxn72puSP0illzcXexkhiaEkLIjRs3iIaGBvHx8SEcDkfs7VN0jrKyMuLq6kpsbW1JRESERG2ZmJhItH15QC4ja1rDw8MDTk5OSExMRHR0tKzd6fXExsYiOTkZTk5OzWbXJUFvCOjoNkLs06cPVq9ejYqKCty6dYuKQZUxR44cgY6ODry9vaGjoyNRW7Nnz5Zo+/JAtxEijUaDs7MznJ2dER8f3yv2qMkr9+/fR2JiIkaOHIlJkyZJ3N6WLVskbkPWdBshAu+DChYuXIjCwkLcuXOH6hVlxMGDB0Gj0fC3v/0NWlpaErf316zpPZVuJUQ6nQ4nJye4urriyZMn+OOPP2TtUq/jw1YnKysr/O1vf5OKzfYOze0pdCshAu8zWU+fPh2ZmZmIiIjoFUd2yQtCoRAnTpxAY2Mj/Pz8Piu72+fQGzJ9dzsh0ul0jB07FhMnTkRkZCRYLBa1X1FKJCQk4OHDh83Oc5QGZmZmUrMlK+QmeVRnsLS0xOTJk7Fr1y7cuXMHQ4cOFfvWG4rm1NfX48KFC+ByuQgICBD7Dov2uH37drvlcXFx4PP5UFJSgrm5eavJiNurw+fzkZKSAgaDAVtbW7H73xG6pRCVlZXh7u6OO3fu4Nq1a5gxYwYcHR3FuhmVojlpaWmIioqCsbExfHx8pGqbx+NBX1+/1bKUlBRs374dAwcORH19PfT09BAQENAsFefvv//erI6uri62bdsmqnPx4kUcP34cI0aMwLFjx6RyTx/T7YamH7CxscGkSZNQVlaG69evUzGoEqSxsRHXr19HYWEhlixZIvZ8s5+iveRRR44cwYIFC3Dy5Els27YNOTk5SElJaVYnKChIVGf79u3IyckRHWrz4sULvHz5Eq6urmJN79FZuq0QlZWV4e3tDUtLS5w5cwY5OTmydqnHkpGRgSdPnsDQ0BDTp08X64lRHSEiIqLNst9//10U2aOpqQkbGxtwOJxmdf744w84OTkBADQ0NGBrawsOh4Py8nLcuXMH06ZNg7m5ueRuoAN0WyEC73tFT09PVFVV4bfffpO1Oz2WR48eIT09HdOnT4eJiYnU7bd3unB1dbUo5SaNRmt1B0hbde7evQsVFRU4ODhIbQa4Lbq1EOl0OubMmQMjIyMcPXpUogmteitZWVl4+PAhNDQ0MH36dJmkz4+KiupQvYaGBvD5/HYn7j7U6dOnD5KTk/HTTz9hzJgx2LZtG86fP4+1a9eKy+1O0a2FCACDBw/Gt99+C4FAgEOHDsnanR5HcnIyEhMTMWXKFAwaNEgmE2LtLV+MHTtWlEqDzWYjISGhxTDzr3XKy8sRHx+P4cOHY9++fcjJycGLFy+wfft2+Pj44F//+pfkbqQ9xL2dQ1LboNojJyeHGBkZESUlJfL69Wup2u7JFBQUEF9fX2JoaCj1/+lf2bhxY7vlTCaTMBgMMmTIEFEWh927d5P/+Z//IWVlZYQQQgYMGEAYDAaxs7MjN2/ebNHGmTNnyKZNm8TvfAfpEUIkhJDAwEBCo9GIv78/qa+vl7r9nkZjYyO5e/cuMTMzI99++y158+aNzHzpDTlruv3Q9AOLFy8Gk8nE1atXe/x569KgoqIC4eHh4PP5cHd3h6mpqcx8EdcZGvJMjxEik8nExo0bUVFRgdOnT4PH48napW6LUChERkYGwsPD4ejoiC+++ELqSxZ/ZcOGDTKzLS16jBCB97ltbG1tER0djfj4eFm7022pra3FjRs3wOVy4ebmJvNj0ZYtWyZT+9KgRwmRwWDA398fhYWFuHz5couFXYqOkZubi/Pnz8PKygpeXl4yX2PbtWuXVOzk5+dLxU5r9Cgh0mg0TJ48GWPGjMHTp0+pXvEzuXDhAmpqajB16lSpZHT/FKdOnZKKHRUVFWzfvh0xMTFSsfdXepQQAcDIyAiLFi1CVlYWbty4gbKyMlm71K0oLy9HUFAQjIyMMHPmTJn3hgCklj+XwWBg9uzZ2LJlC+bNmyfdST9xT8P6+fkRANSLenX7l56eHjl8+LBUlsMk0iOGh4eDvF+jlMmroaEBISEhUFNTg5+fH0pKSmTqT3d5lZeXQ1dXF/369cPLly9l7o+0X01NTfjjjz/g7OwMLy8vXL58GcuXL4eSkpIkZNKMHjc0Bd6nXhw7diw8PDxw7949PHv2DI2NjbJ2qxnp6ekQCASydkOEUCjEoUOHUFFRgVmzZmHo0KGydknqlJaW4tSpU9i+fTuuXLmCiRMnSm0DdI8UIgCYm5tj+vTpaGhowNmzZ+XuWdHf3x9sNlvWbojIzs7GhQsXYGho2CuWC1qDy+Vi79698PT0lNg5Hm3RY4VIo9EwceJETJo0CY8fP0ZMTIxc9Yp1dXUghMjaDQDvN/6ePHkSRUVFWLRoEYYMGSJrl2SCtbU1VFVVZWK7xwoRAPr3749vvvkGmpqa+OWXX+Qq49vUqVNl9k//mBcvXiAiIgJMJhPLly+XtTu9kh4tRACYMGEC3N3dwWKxcOHCBVm7I2LVqlXQ1NSUtRsQCAS4ePEisrOz4evrK9OY0t6MTIW4du1a0SEmbSXtWbduHZycnODk5NSsDo/HQ0BAAL777ju8ffu2TRtaWlqYP38+9PT0sGfPHhQUFIj9Pj6H1rJXx8bGws3NDQ4ODli9ejWKi4tb1Hn69Kmojr+/P4qKikRlDg4OcHBwwPLly5v9vT2ePXuGR48ewcLCAj4+Pq3uNwwJCYGLiwscHBywbdu2VtNXhoaGiuoEBASI6rBYLJFfW7ZsQUlJSYf86m3ITIjBwcGor69HWFgYwsLC8NNPPyE2NrZZndOnT6Ourg5XrlzB9evXsXfvXsTExKCgoACBgYEoLCwEjUb75OzjqFGj4OPjAx6Ph59++kmSt9Vh5syZ02wCKS8vD1euXMHChQsRGRmJ0tJSnDt3rtlJSHl5ebh8+bKoTllZmajOkSNHsHfvXly4cAG6urod6v3r6+tx8+ZNpKamYv78+ejXr1+LOk+fPsXz58+xc+dOREZG4tKlS7h69WqLOs+ePcOOHTsQGRmJ//73v7h69SpqamoQGxuLoKAg/Pbbb+DxeC0SO8kaDoeD/Px8mc8fyEyIcXFxmDVrFvr37w9DQ0N4enq2iGR4+vQpZs6cCSaTCQMDA3h5eSE5ORkDBgzA/v37MW/evA5l3lJUVMTq1auhpaWFY8eOyUXoG4/Ha9azlJeXg8vlYtq0aWAwGPDw8EBOTg7q6+tFdTgcTos6ubm5qKurw+rVq+Hu7g4TExMwmcwO9TzPnj1DdHQ0hg0bhmnTprU6U5iVlQUmk4nRo0eDwWDg22+/bZG6Ijs7G0wmE87Ozs3qqKqqYunSpRgxYgQIIejbt69MUm20h66uLmJiYuDv74/U1FQ0NDTIZBJNZvnjSktLRV8yBQWFVn+N3759K+rt2qrTUfr164edO3fiu+++w4EDBxASEiLTL4WxsXGz4WldXV2zHlJfX7/FGlZdXV2zYfjHdQghKC4uRlZWFsaMGdOufR6Ph4iICKSlpWHnzp3Njmn/K1VVVaiqqhK979+/f4tll6qqKlRWVjar82FijMViYdasWejbty8WLlwIe3t7EELEnnJDKBTi3bt3zfzoKI6OjsjIyICDgwNmzZqFNWvWYNiwYVKdTJObBMMCgeCTEQwCgaBLZ/EtXrwY58+fx8OHDxEaGgo/Pz+Z5bIMCgpqNz+oQCAAnU5v9wv7cZ3a2lqEhYVBWVm53STATU1NSEpKwo0bNzBq1ChMmTKlwz9KdXV1n1xjq6+vh4qKCgBgyJAhyMjIQHl5OQICAnD69GmsWLFC7F/yhoYGXLx48ZNZwduipKQETU1NuH//Pqqrq7Fjxw6MHDlSrD62h8yEqKenh7y8PDQ1NYEQghcvXmDs2LFt1gHe56dctWrVZ9tUUlLC7t27MXfuXISEhGDcuHEYNmxYl+7jc+nTp08zkSkpKUFRURGlpaXQ09NDeno6DAwMmgVdf1yHxWJBX18fdDodb9++RVhYGEpLS7Fx48Z2bZeXl+PKlSsoKSnBkiVLMHjw4Dbrqqurg8/no6qqCurq6khMTIS7u3uLOtXV1aisrIS6ujoSEhIwefJkCAQCpKSkwNnZGZqamtDX1wchRCJnlSgrK2Pt2rWflYUtNzcXoaGhePHiBVxdXfHtt9/CyMhI7D62h+LO9tIofwa3b9+GlZXVJ7fPaGlpISQkBK9fv8bTp09RXV0NX19fZGVl4fHjx+jXrx+MjIxa1Fm4cCEaGxsRHh6Oy5cv4+XLlygsLIS+vj6MjY0/6R+TyQSXy8WtW7dACIGTk5NM1vN++uknjBgxQtS70Ol05OXl4dq1a0hPT8erV6/w1VdfwdzcHD/++COMjIxgZGSEgoICXL16Fenp6cjIyBDVOXLkCHbs2AFHR0ekpaWhuLgYxsbGLe6tsbERUVFR+OWXXzBmzBj4+/vD0NCwTT/79u2LuLg4PH78GCkpKcjNzcXKlStBp9Nx7NgxGBsbw9jYGE+fPm1WZ9WqVVBRUcHJkycRGxuLBw8eoLy8HG5ubrCwsJDpjv+/UlVVhT///BM0Gg3+/v6dGh2IE5kJ0czMDKqqqlBRUYGOjg7mz58PU1NT8Hg8CAQCDBgwANbW1lBTU4OysnKzOo2NjaioqICmpiZGjBgBfX19WFhYdCgVPI1GA5PJRFJSElJSUmBhYSGTg0e2bNmCGTNmiNYS1dTUYGpqChqNBk1NTUyZMgWjRo2CsrIysrOzYWVlhX79+mHgwIGt1qmpqcHYsWOhr68PTU1NGBsbw8TERDRE/EBVVRW2bt0KNpuNVatWwdXVtV1RMBgMUc+sqakpyoIgFApRXFwMc3NzmJqawtDQEH369GlWp0+fPjAwMACfz4euri7c3NwwevRoqQRRd5TGxkYwGAyMGjVKKoeutgkRM7LK4tYZBAIBuX79OmEymWTGjBkkIyND6j5MmDCBFBUVSd3uiRMniI6ODvH19SUcDkfq9ilaRz7GB1KGTqfD2dkZX331FSIiInD16lXw+Xyp+hAaGgoDAwOp2qyoqMCPP/4IbW1tzJs3r0sTXxTipVcKEQAMDAwwf/582NnZ4dKlS2CxWFK1b2JiIvUZ2z179qCsrAzffPMN3NzcpGqbon16rRAVFBTg6OiIOXPm4M2bNzh+/LhUw6/27dv3WWten8vFixdx4MABMBgMrFy5Um4mSyRBU1MT6urqJB4tIxQKUVtb22ZkV2d86Ln/jQ6gpKSEadOmYerUqTh37hyuXLnSLJJFkly9ehXV1dVSscXhcBASEgIlJSX84x//gIWFhVTsSho+n4/09HT88ccfoheLxUJsbCx+/vlnpKWlAQAKCgpQWFgodvu5ubnYtWsXIiMjW5QJBAIEBwfjwYMHHWpLbhb0ZYWlpSVWrVqFvLw8HD58GI6Ojp+MShEHWlpaUumVqqur8fPPPyM2Nhaenp7w8/OTuE1p8ebNGxw4cABFRUVITk6Gi4sLdHV1QaPRYG1tDSsrKwDAtWvX0KdPny6tQX+MQCBAYmIiqqurMXHixBblioqKMDMzQ3JyMjw8PD7ZXq8XIgCMHz8ei5YIOBwAAAtWSURBVBYtwo4dO7B582aEhIRIPKnu4sWLoaGhIVEbABAdHY2zZ8/CxMQEu3btanXXR3fF3t4eoaGhSExMxJYtW3Dz5k1UVFQgNDQUDAZDtEarp6cHHx8f1NXV4eLFizAxMcGff/4JW1tbODs7N4sUEggEuHDhAvh8PszMzODq6orq6mpER0eLwvb8/f1RUlKC6OhoLFiwAOrq6sjPz0dMTAwqKysxadIkDB48WLT01BF69dD0AzQaDbNnz8aMGTOQmJiIH374QeKzqD4+PhJfOH79+jWCg4NRV1eHnTt3ws7OTqL2ZEVqaiocHR0B/P/g+Q+xs6WlpThw4AAaGhpQWFiILVu24Pnz50hNTcXNmzdbzAtER0fj9u3b4PF4qK2tBYfDQXh4ODIzM8Hj8fCf//wHL1++RGZmJthsNhwcHFBaWorffvsN6enp4PF42L9/PwghnXr0oHrE/4PBYGDz5s3IzMzE5cuX4ejoiNWrV0vM3unTpzFr1iyJ9YoVFRUICQlBVFQU5s6dCw8PD5mcbSgNEhMTMWHCBADv422rq6tFwfBv3ryBvb09aDQa0tPTRRN0ubm5ePLkiSh88gNZWVngcDj4+uuvYWNjg4iICAQHB0NDQwO6urpwcHCAmpoa0tPTMWLECKiqqiIqKgqVlZXw8/ODpaUl7t69C6FQiLKysg4vEXWqRywsLMSKFSuwc+dOqU1qSBMzMzPs3r0bKioqOHz4MO7duycxW+fOnZNorxsXF4erV69iyJAhWLp0qdxtPxIn4eHhGD58eKtlLBYLZmZmoNFoSEhIgLu7OwYMGICysjLU1NS0+FxmzpyJ7777DgcPHsSVK1eQkpICR0dHbNiwAStWrMC2bdtgZGSEly9finrh1NRUMBgMUXyqp6cnmpqakJWV1eFseJ0S4qFDh5Cfn4/S0lKJBO7KA05OTtizZw+ys7Oxa9cuvHr1SiJ2+Hy+xD7DV69e4cSJE+DxePj+++9FPUJPpLi4GBoaGqKJmb59+4JOp4tOA3vz5g3s7OxAo9GQmZmJUaNGAXg/hFVRUWkRVGFkZAQXFxeYmpqiuLgYdXV1UFdXh5OTE1xcXGBpaQlCCGpqakRxvHV1deDxeGhqasKlS5fw5s0bCAQC3L17V9RTf4oO/3fu3r2L/v37w8PDo0X8Yk9CUVERS5cuxZIlS5CUlIRdu3bh3bt3YrcjqWfE8vJy/Prrr7h58ya+/vpruLi4yGyrlyQRNBLUCggSn7/AIEtbNAgVUSsgUNXQBY2uiozMXNQKhIhPSIS9vT0UFRXx6NEjjB49GhUVFairq4OFhUWzyasrV65AUVER+vr6iI+Px5o1a+Du7o7IyEjo6upCUVERoaGhLXxxd3fH/fv3oaenh2fPnoHJZOLGjRsYPXo0Bg4c2KH7UeBwOKS1h0ojIyPRPzA/Px9nz56Fs7MzOBwOYmNj8c9//rPVfWkrVqxAWFgYVFRUMGzYsM/eHyZr2Gw2lixZgri4OKxZswbr16+X++FdXV0dTp8+jfXr12PChAnYu3evzLZ5SZodZzm4+7z1MzGampr+b08kHce+6wcHC/EmCa6vr8fRo0dhYGCAuXPntiivrKyEl5cXwsLCOrQjCAD6HD9+HDdu3GhR8KERoVCIJ0+eIDs7G6NHj8br169RUlKCjIwMjBgxotVGQ0ND4eXl1bm7kzP09PSwe/durFy5EqdPn4aRkRHmzZsHNTU1sbSfmpoKKysrse5ESEpKwr59+2BnZ4f169f3WBECgIejKqwHtP7ZvXtXhpSUl/jCyQaW/cR/iA6dTsfEiRORmJjYanloaCjWrVvXYRECgAIh7SfoEAgEiIiIwPnz5wG8j1Jgs9mYM2cOWttBtWLFCnh7e3d7IQLv7z0yMhJbtmxBQ0MDtm7dipkzZ4pl/6KzszPCwsLQv39/MXgKJCcnw8/PD2VlZdixYweWLFkilnblleN3uXj6Z227dVSVaPj+G20M7i/7E60+SWe3a1y+fJmsXbuW1NTUtFreHbZBdQYul0tOnTpFLCwsiI2NDTl79qxYTgcaPXo0KSwsFIOHhCQmJpIxY8YQdXV1smPHDlJZWSmWduWZSn4TKeE0tvuqqRfK2s0O0+mn+GHDhonSM/QGNDQ0MHPmTAgEAuzduxc//vgjFBQUWn026Aze3t5iGeY+e/YMW7ZsQXx8PL7//nv4+/vLdoOrlNBSo0FLPE8J8oG4ld3TesQPVFZWkqNHjxIjIyMyaNAgcuTIkS619+7dO9LY2NilNmJiYoi7uzuh0+nE39+flJaWdqk9CtnRMxeXJMCHjOH79u0Dl8tFYGAgAgMDPzuwoaampkv5Mx89eoSAgAA8fvwYq1atws6dO9vNPUMh54hb2T21R/yAQCAgUVFRpH///kRTU5MsXbqU5OTkdLodd3d3Ulxc3OnrGhsbSUREBHF0dCSKiorkH//4B2Gz2Z1uh0K+oHrETvJh6vrRo0cYPHgwgoODMXPmTDx+/LhTkTJcLrdT9QkhqKioQFBQEHx9fcFisRAQEIDNmzdDT0/vc26FQo6ghPiZWFhY4P79+1i2bBnevHmDZcuW4ciRI8jLy+vQruyPM323R21tLdLS0vD1119j06ZNMDQ0xNGjR7Fx40Zoa2t39VYo5AFxd7E9fWj6MRwOh/z8889k6NChRF1dnbi7u5Nbt26R/Pz8dq9js9mfnKypqakhWVlZ5NChQ8TOzo5oa2uTadOmkSdPnojzFijkgJ4XhChldHR0sGLFCjg4OODcuXN48OABli1bBjc3N0ybNg3W1tZgMpnQ19dvdh2Xy21zmaGiogKvX79GfHw87t+/jzt37sDJyQkbN27ErFmzRAHOFD0HSohiQEVFBS4uLrCysoK7uztu3LiBp0+f4vr16xg1ahRsbGzg6OiIQYMGoV+/ftDS0sLBgwexfft2qKiogM/ng8vlIi8vD2/evAGLxUJSUhLS0tJgbm6O5cuXY968eRg3blyP3UXR2/lkiFtn6Ukhbp9Lfn4+0tPT8fjxY0RHRyMjIwPKysqinlFdXR2PHj3ClClTQKPRUFtbCz6fj5KSEhQVFUFBQQHDhw/H5MmTMWbMGNjb20NXV1fWt0UhQSghSpDKykrk5+ejsLAQL1++RHJyMnJycsDhcFBcXIzGxkZoaWlBR0cHDAYDlpaWGDlyJGxtbWFiYgJTU1OZnMtBIX2ooakE0dbWhra2NoYMGYLx48eDz+ejvr4ejY2NEAgEIIRAUVERffr0AZ1Oh4qKCtTV1aGsrEwNQXsZlBClAI1Gg5qamti2UFH0PKifXQoKOYASIgWFHEAJkYJCDqCESEEhB1BCpKCQAyghUlDIAZ0S4v79+zFhwgRMmDABSUlJkvKJgqLX0WEhJicnw8jICIcOHYKvry82btwoSb8oKHoVHV7QHzlyJEaOHAkFBQXo6elh7dq1kvSLgqJX0aepqQlcLhe1tc1zRCooKMDAwEC0efXDSUJCoRDXr1+Ht7d3m41+iKWk0+kttv9QUFC0pE9paSn+/e9/IyoqqllB3759cenSpRaHdCQkJODatWutZgf/wI8//ogjR47AxsYGp0+flojjFBQ9iQ7vvqipqcHvv/+O0NBQzJkzB66urq2meqB2X1BQdJ4OT9a8ePECGzZsAI/Hw/Pnz/HLL78gMzNTkr5RUPQaOjxZo6Ojg2XLlonOnaOgoBAfHRaitbU1rK2tJekLBUWvhYqsoaCQAyghUlDIAZQQKSjkAEqIFBRyACVECgo5gBIiBYUcIHYhurq6wsTERNzNUlD0aMSeYLi2tlaUp5OCgqJjiF2IFBQUnYd6RqSgkAMoIVJQyAGUECko5ABKiBQUcgAlRAoKOeD/AWGs5gfpZ+I3AAAAAElFTkSuQmCC)
Physics-General
Physics-
For a particle executing S.H.M. the displacement x is given by
. Identify the graph which represents the variation of potential energy (P.E.) as a function of time t and displacement x
![](data:image/png;base64,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)
For a particle executing S.H.M. the displacement x is given by
. Identify the graph which represents the variation of potential energy (P.E.) as a function of time t and displacement x
![](data:image/png;base64,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)
Physics-General
Physics-
The graph shows the variation of displacement of a particle executing S.H.M. with time. We infer from this graph that
![](data:image/png;base64,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)
The graph shows the variation of displacement of a particle executing S.H.M. with time. We infer from this graph that
![](data:image/png;base64,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)
Physics-General
Physics-
The displacement time graph of a particle executing S.H.M. is as shown in the figure The corresponding force-time graph of the particle is
![](data:image/png;base64,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)
The displacement time graph of a particle executing S.H.M. is as shown in the figure The corresponding force-time graph of the particle is
![](data:image/png;base64,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)
Physics-General
Physics-
The acceleration a of a particle undergoing S.H.M. is shown in the figure. Which of the labelled points corresponds to the particle being at – xmax
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)
The acceleration a of a particle undergoing S.H.M. is shown in the figure. Which of the labelled points corresponds to the particle being at – xmax
![](data:image/png;base64,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)
Physics-General
Physics-
A particle of mass m is attached to three identical springs A, B and C each of force constant k a shown in figure. If the particle of mass m is pushed slightly against the spring A and released then the time period of oscillations is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ4AAAClCAYAAACtOEQVAAAgAElEQVR4nO2deXiU5bn/P7NkJpNksmeyJ2QhG1kIOyFhiaDQ4npEtAhIhYpKbbEqvSynao/VnmK9QG2PVz1uRypqiygFZVcJhEASlgQSyL5P1plkMslMZnt/f3B4f+UYkSA6BN7PP0CYed573nzneZ/nfu5FJgiCgITED4zc3QZI3JhIwpNwC5LwJNyCJDwJtyAJT8ItSMKTcAuS8CTcgiQ8CbcgCU/CLUjCk3ALkvAk3IIkPAm3IAlPwi1IwpNwC5LwJNyCJDwJt3DNC8/lcuFyudxthsRV5poWntPppLa2lpMnT7rbFImrzDUvvFOnTvHhhx+62xSJq8w1KzybzYaHhwd+fn4YjUacTqe7TZK4ilyzwnvhhRew2Wz4+Pggk8kwmUzuNumax+l00t/fz9DQkLtN+VaU7jbgm9i6dSv33nsvKpUKtVqNwWDg7NmzREdHExUV5W7z3IrBYOCjjz4iJSWFrq4uzp07h8lkwmg0otFoWLZsGZMmTXK3mZfkmhLemTNnaG1tZc6cOYwbN47y8nIyMjLQaDRs3rwZk8nEgw8+6G4z3Y63tzfnzp3jgw8+YM6cOWi1WlJTUwkICECr1RIfH+9uE7+Va0p4fX19fPrpp8yYMYOwsDAGBwfx9PTEaDRy7tw5Hn30URITE91tpttRq9WsX7+eJ598kqamJjZt2oRarUapVCKTybBardTV1aFUKomKikIuv/ZWVNeURaGhoVRUVOBwOEhPT+fYsWM0NzdjMBhYvXo1c+fORaVSudvMa4KgoCDeeOMNBEFg8eLFrFmzhtmzZ5OUlERMTAy33XYbr776Kjabzd2mDovbZ7wTJ06wa9cuFi5cSEJCAhaLBZfLRXBwMFVVVWzatInly5czf/58d5t6zaFQKHj11VdZtWoVfX19/Md//AdjxowhJCQEuVyOw+HAZrMxODiIv7//NTXzuU14DocDs9mMVqvFZrNhMBjIyMjA09OTzs5ONBoNPT09rFmzhltvvdVdZl7zeHt7s3HjRv70pz9RUFCAWq3mzJkzNDU1odfr6e7upru7m40bNxIWFuZuc0XcJryOjg7+8Y9/sGjRIgD6+/sBCA8PZ/v27Rw9epTnnntOEt1loNPpePTRR/njH//I8uXLSU9PJzMzk4iICCZMmEBmZiZ+fn4IgoDL5UKhULjbZPcJr7+/n8OHD7N48WIAjEYjdrsdgJ07d7Ju3ToWLFjgLvNGHTExMaxdu5aQkBACAgK4+eabcTgc9Pb2cvz4caxWKyaTibCwMPLz8/H19XWrvT+48A4cOEBOTg4eHh6o1Wra29tRKpUMDAywbds2PD09efzxxyXRXQEJCQksWbKEzZs3s2nTJoKCglCpVOJuV6lUEhoayncpEGYymfj9738v/nvatGnMmzcPHx+fEY3zgwvvL3/5C2PGjEGtVhMYGIjRaCQwMJB9+/YRFBTEsmXLmDlz5g9t1nVDYmIiy5cv59VXX6W+vp6nnnqK8PBw1Go13t7eKJVK7HY7HR0daLVavLy8RjR+U1MTX3zxBWvXrqWhoYFDhw6RnJxMWlraiMb5wYVnMpno7OwkLi4Of39/ent7ARAEgXvuuYfc3NxrYg0ymomLi+OJJ55g48aNfPDBB4wfP56Wlhbq6uowGAwYDAY8PT1FF4yHh8dlj11ZWcktt9zCfffdx65duygoKLgiF5fshyjMuHv3bkJCQsjMzOTJJ58kPT2du+++m3feeYeDBw/i7+/PkiVLyMvLG9FNkLg0vb29rF+/nvLycv7t3/6NuLg4AgMD0el0aDQaAgIC8PLyQiaTXfaYzz33HJs2bcLPz4/o6GieeOIJfvSjH6FUjmwO+0EcOydOnKCsrAybzUZwcDDd3d1oNBrCw8Pp7e3lvvvuY86cOZLorjL+/v688sorjB07lurqaubPn09sbCxtbW3s2bOHTZs28cgjj/DMM89c9pinT59m37591NTU8OCDD7Jnzx5aW1tHbNslZdrX18fg4CCCIKBUKtHpdJc98NDQEG1tbXh5eRETE0NjYyNDQ0NMmDCBt99+m6NHj7J161aeeOIJ5s6dO2LDJS4PuVzOX/7yFx5//HEmT56M1WolPT2d0NBQwsPDmTFjBhkZGZc1ltPppLCwkIiICGQyGV5eXgQEBFzR0ugbhdfY2MiLL74oRv8ODAxQVFSEt7f3ZQ3c39/Pli1biIiIQKfTcebMGRwOB7GxsZSWlvLnP/+ZZcuWSbvXHwCVSsVzzz3HSy+9hLe3Nw899BD+/v4MDQ0xNDQknu1arVbCwsIIDAwcdpyKigqCgoJobGykrKyMgwcPMnHixCuKFhpWeB0dHbzwwguEhYXx+eefExAQwPPPP49er//WQ3qbzYbNZiMgIAA/Pz+6u7uZNGkSH3/8MWazmXPnzhEbG0tsbCy5ubkjNljiyggKCmLNmjW89tprbNiwgezsbPr7+zGbzeKfVquVO++8k/z8/GHHMJlMJCUlsWHDBgBmzZolHgCMlGGFt2/fPux2O4sXLyYgIACA9evXX9aA3d3dfPrppzz88MOo1Wr6+voICAjAaDSybds2SktLeeyxx9i1axdvvvkmK1asEK8h8f2i0WgICgpi+/btHDp0iJkzZzJu3DhSUlIICQkhMjLykv64GTNmMGPGjKtiy9c2F2azmfLycuLi4oiLixvxgIODg3z00UcA+Pn54XK5EAQBQRA4cuQIq1at4rbbbuNnP/sZlZWV/Pd//zcGg+G7fxKJS2IymXj//ffp7e3l6aefZsGCBQQFBZGbm0tKSgoAZWVl7N69m02bNvG3v/2Njo6O782er814FouFvr4+IiIi0Gg0lz1QS0sLkZGReHl5Ybfb6evrIygoCLvdzrvvvktQUBD3338/eXl5yOVyMjMzeeihh3jjjTd48803Wbly5TfOfC6XSwzvUalU11SUhTux2+2YzWY8PT1Rq9XfeF/sdjt//etf6erqYtWqVSQmJpKamsrbb7/NCy+8gNPpxMvLCx8fHwICAvDx8UGr1Y7YRTISFM8+++yz//oDlUrFyZMnOX36NJMmTcLPz4/XX3+diIgItFrtNw7061//msTERPz8/Dhw4ABTp05FJpPx+eef09nZyapVq5g+fbr4YeRyOTqdjqioKHbs2EF7ezvjxo1DrVaLY/b393P8+HGOHDlCcXExZWVl6PV6/P398fb2HpH/6XpCEAROnz7Nnj17xN9VdXU1TqcTHx+frzl0f//736PX63n88ccZM2YMcN7VkpKSQklJCU1NTaxfv55p06YxefJksrKyCAgIoKWlhdLSUoKDg0d8wvFtfE3SHh4e3HvvvTz99NNMnToVpVLJU0899a2ulJ6eHvR6PZGRkcTFxXHu3DmsVisAq1evZtq0aV/7BimVSsaPH8/jjz/Ob3/7W9RqNQ888ABeXl6UlJRQVFSExWIhKCiIsLAw7HY7dXV11NfXs3Llyqt+M0YLJ0+e5KuvvsLHx4fk5GTMZjMdHR3s2rULnU5Hbm4uCQkJKBQKfvOb39Da2srGjRvx9/e/aJywsDCeffZZ/v3f/53//M//xGw209PTQ0dHB15eXkRFRREZGUlWVhZBQUFX9TN8p5OLtrY2du7cyS233MK7776Lj48Pq1atYsOGDej1enp7e3n00UeZNWvWt4517tw5li1bxsqVKwkNDeXkyZPExMQwadIkkpOTRedyS0sLH3/8MVOnTmXq1KlXavqoxWKxsGXLFuRyOffff7/4ZbbZbNTU1HD48GGMRiOzZs1i69atNDc3s2XLlm8dd9myZZhMJl588UViYmIu2212pXynxZLNZuPkyZP09vYSGBhIfX09crkcX19f6uvrWbVq1WWJDiA5OZl33nmHEydOUFxczMSJE/nJT35Cenq6KDpBEAgLC0Or1VJeXo7ZbB4VqXxXA5fLhcVioa2tDYvFQmBg4EWlPVQqFWlpadx5551ER0fz+eefMzQ0xJtvvnlZ47/99tvEx8fzzjvvYLFY6Onpob29ndraWo4fP86OHTs4evToVfs8I149Op1Oent7USgUhIeHYzKZGBgYYMKECXzyyScUFhZSWlrKE088wbx580Y0dmpqKj//+c85ePAgP/7xj8WfC4KA1WrFaDTS1NSEwWDA4XCwefNmIiMjmTJlihjufT0yNDREfX09p06dorOzE5PJhCAIlJeXExsbi6+vr7iuCw4OZtq0afT19fHII49c9nJEoVDwzDPP8OKLL7JixQqCgoIwmUzY7XZUKhU6nY7Zs2dftafMiB+1AwMD7NixA7vdzv33388DDzzA8uXLycjIICUlhXnz5vHAAw9wyy23XBUDBUGgt7eX8vJyzp49i9lsZmBggNjYWIKDg9Hr9QwNDXHXXXddU6HdVwuXy0VVVRV79uzBz88PnU5HQ0MDPT09+Pj44OPjQ3p6OuPGjbvk5u9yaW1t5eWXX8ZisbBo0SJxrWixWDCbzWLu7qRJk77TrnfE79RoNAiCQFlZGXA+M6y9vZ36+noyMzNZuXIlN9100xUb9K+4XC70ej2lpaV0dHQQExOD0Wiks7OTuXPnEhERQXNzMzt37uTMmTPodLrrbtazWCxUVVXh7e3NTTfdRFRUFEVFRRQUFJCSkoLZbKaoqAij0Uh2dvZ3/vJFRkbyy1/+kvfee4/PPvuM4OBgnE4nDocDp9OJ3W4nLCyMjIyMH1Z4crkcjUaDy+XCarUSGRnJ7t27Afjd73531Y7BBEGgo6OD/fv3i8EFXl5eNDU1kZycTEhICAC+vr5oNBpaWlpobm4mKChoxNGw3wdNTU288cYbJCcnc+utt+Ln5zfiMQwGA/X19ej1eoKDg8Uz1NTUVNG1NHfuXHQ6HceOHcNms5GXl/eNZ62XS3R0NEuWLOG1115j9+7d3HfffYwdO1accTUaDQqFAqPRCJz/HYw0UOBrfrzLobW1lYaGBtLS0jhy5AgNDQ38/Oc/Z8aMGVfNt+ZyuThw4ABdXV3k5+cTGBhIaWkpTqeTGTNm4OXlRWVlJSUlJTQ3N2M2m2lpaaGtrQ2lUnlFN+NS7Ny5k6effpqPP/4YvV4vrnVqamp48cUX+etf/8pHH33E7NmzUSgUfPXVV7S0tGCxWFCr1cTGxo7oeoWFhRQWFlJdXY3JZMJsNmMymZDL5QQHB6NWqykpKUEmkzFt2jQ8PT05e/YsSqWSiIiI7zzz+/v7k5aWRl9fHyaTifDwcNra2jh27Bj//Oc/2bZtGzt37sTlcpGQkHCR//VyuCLhGY1Gzp49S3FxMV1dXTz88MNMnTr1qv6i9Xo9hw4dYuLEiYSEhHDw4EF6enqYNm0aPj4+fPbZZ5SVlTEwMIDdbic5OZmkpCRaW1tpamoiNjb2qvn5zp07x4oVK9iwYQPJyckUFBSgUCgICwtjw4YNBAUFsXjxYtrb23nvvfe4/fbbOXnyJJGRkcjlcpRKpXgsdTlUV1ezd+9eQkNDSU9PRyaT0dPTQ29vLzU1NQwODpKeno5SqeTEiRM4nU4yMjIYGhqipaWFiIiIqzLr+/r6kpKSQlFREX//+9/x9PREq9WSkZHB+PHjyc3NZfz48VeUs3tFD2mVSiV6yp988kmmTJly1cPVLRYLAwMDlJWVcfr0aQYGBsQI5c8++4zu7m7mzZtHU1MTra2tTJkyhdDQULRaLV988QU9PT0EBgZelTXf0aNHycnJYerUqQwMDFBbW8vhw4eJi4tDq9Uyf/58srOzCQkJYcKECfT29jJ27FgeeOABcnNzRxRoCVBcXIyHhwe33norSqWSwMBAOjo6SE5ORqFQUF5eTnd3N/Pnz6e9vZ3i4mIaGhrQarUMDg6KjvurgU6nY926dfzmN7+hsrKSdevWoVQqkcvlyOXyK37CXdFvpaurC6vVyurVq5k+ffr3kiMxZswYEhISMBgMqNVq7rnnHjQaDQcOHMBqtbJs2TJ0Oh3V1dXEx8cTERGBQqFAp9OJa0Gz2fydMqouEBISwrFjx3A6nWJeqt1ux2AwYLVa8fDwQCaTkZycjNPpRBAEcnJyqKqq4q233rrsx6zNZqOjo4Oenh50Oh0qlQqFQkFwcDCRkZHo9XrS0tKYPXs2ra2tvPPOOyxevJh77rkHm81Ga2sriYmJV/2UwcfHh02bNhEQEMDbb7+Nh4cHCoXiOy2rrujk4sIOZ6TP9ZEiCILoR+ru7mbXrl3IZDJuvvlm5HI5H374IR4eHtx22214e3vT0NBAaWmpGIotk8mIjo4mPz+fiIiI72TL6tWr2b17Ny6XC4fDwfLly1m4cCGffvop999/PxkZGTgcDnx8fKirqxvR9ex2O5WVlRQWFmIymbDZbDidTsaNG0dWVhbR0dG0tbWxd+9eQkJCmD17NmazmQ8++EDcvFwYR6FQfK+H+1eLK5rxlErl9y46OC+cC47RpqYmOjo6iIuLw2KxsHXrVqxWK7m5uVitVnbu3MmePXvo7OxEoVAwefJk8vLyMJlM/OMf/8BisXwnW15//XXq6+spKSlh2bJlJCUloVarRf/WBYduQEDAiEQnCAK1tbUUFhbi5+fH3LlzSUhIQCaT0dTUxM6dO9m1axdqtZqsrCwaGho4cuQIarWa5ORkKisrMRqNyOVysWLUaGB0WPm/yOVyzp49S2lpKRqNhpycHGw2G4cPHxZDrZqbm9FoNEyePBl/f3/i4+PZvHkzFRUVTJw48YquazQa2bdvHw6HA6PRSE9PD/Pnz8fDwwOVSsXHH39MTU0N+/fv51e/+tWIxh4aGqK5uRm5XE5eXh5RUVGEh4fT3NxMTEwMoaGhnDlzhn379pGZmUl6ejrV1dX09PTg6emJXC7/zl8qd3BFu1p34OHhITowY2JimDZtGjabjYKCAsLDw8nOzsbpdNLa2kp6ejrR0dHA+ZOWEydOMDQ0hFKpRKFQjHi3azAY2LFjB21tbQiCwOrVq4mJicHLy4sxY8aI7iUfH5/L3kg4nU7a2tqoqqqivr4el8tFTEwMfn5++Pr60t3dTWNjI5mZmURHR9PU1ERXVxdpaWnEx8eLj+SxY8eSnp4+6hznP0he7dViYGAAq9WKVqvFaDTy97//neDgYObNm0dXVxcHDx4UM6f6+vqora2lubmZ5uZmvL290Wg0+Pv7M3HiRBITE92aOF5YWMi5c+fEQAeHw0F4eDiJiYkkJiYil8vZuXMnALNnz8bhcHDkyBF8fHzIz89HJpNhs9kuOqcdTYyqr4m3t7dYD6Smpgaj0ciUKVNobGzkyy+/RKPRkJqaSn19Pfv376e2thabzYZKpSIvL08sjVFSUuLWcPv29naOHDmCp6cnCxYsYMKECSgUCgYHBykpKWHHjh309vZy0003YbVaKSwsRKlUMnbsWNrb2+nv78fX15fg4OBRKToYZcL7VxQKBYIg8OWXX1JQUICPjw8ZGRnU1dVRWFhIcHAw8+fPZ3BwkKioKLKzs0lLS2P8+PH09/ej1+uvqGOQIAhUVFTw1FNP8dlnn11RG4Tjx48jCAJz5swRw9B1Oh0hISHk5ubidDrZuXMn1dXV5OXlMTAwwPbt2yktLcXhcFwXkdejVngTJ05k6tSpeHp6Mm3aNBYuXEhXVxdlZWWkpKSQn5/P2bNn6e/vF6tTXcBms9HQ0MDp06dHVKrV5XJx6NAhfvOb3zA0NMTf/vY3/ud//oeBgYHLen93dzcFBQXo9XoA8VEfGhpKXFwc9fX1yGQyFi1ahCAInDp1CpvNxqJFi5gwYQJarZZp06ZddT+dOxhVa7xLUV9fz86dO0lKSiI3N5fKykr27dtHdnY2c+fOpbu7m8LCQqqqqrBYLOJiPCgoiJtvvvlb84VdLhfbtm3j2Wef5fnnn+f222+nuLiYZ555hry8PB5++OGvhZZfQBAEDh8+TGFhoRi46nK50Gg0ZGVlkZ2djYeHBzt37qS7u5uf/OQnhISE8O6772KxWFi6dOk1EfhwNbkuhDc0NERRURHnzp1j5syZtLa2cvz4caKjo1mwYAHV1dUcOHAAtVqNTCZDrVYze/ZsBEHgq6++wul0snr16m/cGfb19fHOO+/w5ptv8vrrr5OTkyP+X0VFBevXrycpKYnHHntsWB9ebW0te/fuJSIiguzsbIxGIzt27MDX15ehoSF8fHzIzc1Fo9Gwd+9eHA4HP/rRj4Dz/T7y8/OZMGHC93Pz3MSocadcCpfLJTYaqauro6enh6ioKKZNm8aJEycoLS0lPj6erKwsjEYjY8aMISMjg/DwcJRKJSdPniQ1NXXYyknNzc3813/9F2VlZbz++utkZWVd9P8X1mWHDh3i4MGDxMfHExwcDJyf6ZxOJ2VlZXR2dnLLLbeIJT0aGhqQyWTk5+fT399PZWUlPj4+hIeH09fXR1FRkbiLj4uLu+6CXK8L4SkUCjQajVhIJiMjg4kTJ1JQUEBzczPjx49n0qRJVFVV0d/fz4QJEwgODsZoNNLR0UFdXZ0YXwjng12dTienT5/m7bffRq1W88wzzxAZGTns9X19fcnLy6OxsZGtW7cSEBBAQEAAer2empoaampqGBoaIiQkBC8vL9RqNR4eHlRXV+Pl5cX48eNxOByUl5cTHx8vZuTZbDaSkpJITk7+QU6Kfkiui0ftBS7sUuVyOaWlpezbt4/8/HzS0tI4evQoZ8+eZfz48SQmJtLW1kZ1dTUtLS2YTCYiIiJwOBx4e3uTnp4uno2OGzeO++6777LDyrdu3cquXbuIi4vDx8cHT09PhoaG6Ovrw9/fn+joaBITExkzZgxFRUVUVlYyefJkEhMTOXz4MHq9nrvvvpugoCBxB3s9Fqq8Lma8C8hkMvFRefDgQbHIzJkzZzhz5gzx8fHExsZSXl7O6dOngfMlOwICAliwYAERERHo9XpOnjxJQ0MDEydO5M477xxRoeqUlBRkMhnvv/8+0dHR3HHHHQQHB9PV1YVarcZut1NRUYHT6SQuLg6TycTZs2eRy+V4enrS2NhISEgIOp0OhUIx6k4kLpdRdVY7EgIDA2lsbKSgoACA7OxsAgICKC4upre3l8zMTGQyGV1dXYwfP56YmBgxt0Cv15OXl0dOTs6I80tlMhljxowhNzeXnJwcxowZQ3h4OE1NTXR2dpKbm0ttbS3FxcX09PSQlpaGl5eX2NHI4XCg1WqvC1/dpbhuhTdjxgz8/Pyw2Wzi8dgXX3yB1WrlpptuQqVS8cUXX6DVasnMzEQQBAYGBujo6MDpdNLc3ExRUZFYxuNyqKmp4eTJkxiNRnx8fHA4HAwMDODt7U1KSgpNTU1UVFQwb948VCoVp0+fFoMdEhMT6ezsJCgo6BvXktcT19Ua7/9yISgTzkf1lpSUMHPmTOLi4ti/fz8NDQ0sWrSI4OBgCgoKOHPmjOgMvlB86EKvsNjY2EvOQhfqmCiVSlQqFQaDAYVCIUYlp6SkcPLkSQ4fPkxOTg5TpkyhvLycw4cPM2fOHNLT03G5XGJk7/XOdTvjwf8/GbBarTQ3N4ttNT/99FOamprEhPOPPvqIlpYWYmJi0Gg0+Pn5sWDBAhwOB9u2baOoqIjIyMhvrNGs1+s5e/YsYWFhLF26FLPZzPvvv4/dbkcul/P555/T1tbG7Nmz6enp4csvv8ThcJCWloZWq6W7u/uGEdwFrmvhXeBCSHxxcTHbtm3Dx8eH2bNno9Fo+OSTTwBYuHAhnp6e7Nq1S0zlA0hLS6OgoEAMcR+O+vp6LBYLixcvFh3UaWlpnDlzhokTJ9LX18fx48fp7OwU4/hOnjxJUVERvr6+V5T6ONq5IYTn4eHBlClTxMfn2LFjsdlsbN++Ha1Wy6xZs9BoNPzzn/8kLCyMsWPHiu8VBAGFQnHJKJD/W5tOpVKJ0cGVlZXk5+eLjuqioiLuuOMOJkyYQHl5OcHBwSQnJ3+vn/9a5IYQHpxfs02ZMgU4HyRw4MABZDIZN910Ew6Hg/379+NyuZg8ebLoPnE4HPT19eHr63vJ9d2FIoatra2EhoYCEBAQwNSpUzl8+DAnTpxg6tSpqNVq9u3bR0NDA4mJidfdacRIuHEWFf/C4OAgXV1deHh40NLSwueff05XVxc5OTnExMSIr+vu7qatrY3Y2NhLOnHDwsLw9/enoqJC/JmHhwdJSUmMGzdOPCu+kJ1VVVX1vX6+0cANKTyNRkNoaCgGg4FDhw4RFBTE/PnzSU1NFQU2NDREZWUldrudtLS0Sy78fX19xWTys2fPXnSd8ePHk5OTg8lkorCwEJVKJc6KNzLXtTvlUvT29tLR0SGWhPjX+ssul4uKigoOHTpEQkICeXl5eHp6XnI8s9nMxx9/jMlk4vbbbxdzPuD8I7unpwej0YhCoSAqKmpE9aWvR25Y4cH5jcNwa7czZ86wa9cuIiMjyc/PJyQk5LJOEjo6Onj//ffx9vbmtttu+9oa7sKtvt5PJS6HG/JRe4FvEoBGoxHTGC9UCbgcdDodNTU19Pf3D1up9F/Pkm90bugZ71I0Njbyi1/8gmnTpvHII498a6CAzWZj7dq1Yml/iUtzQ894lyI2NpaXX36Zw4cP88Ybb9DX1/eNrzUYDPz2t79FpVJJortMpBnvW6irq+OXv/wlOTk5rF69+mt5FW1tbbzxxhs4nU5+/etf37AtEEaKJLzLoL6+nl/96lekpaVx22230djYKCZTHz9+HJVKxc9+9rPrIvvrh0IS3mXS1NTEsmXLUCgUaLVasRRabGwszzzzDElJSe42cVRxwxyZfVdiYmLQarUoFAqWLFlCaGgoBQUFVFRUjMqiOe5G2lz8L2azmaVLl7JgwQIWLFjAxo0b6e3tveg1R48eZenSpSQlJREVFcVdd92FIAhigrbE5SMJ73+ZOXMmGRkZvPTSS/ziF7+gsLCQffv2XfSasLAwWltb0Wq1eHt7YzQacTqd33qqIaCoWgcAAA4aSURBVPF1JOEB69atY+bMmaxdu5Zx48Zx8803M2XKFGpray9yo6xZs4aNGzdSUFBAbW0tL730EgEBAReFUTmdTjZu3MjatWvx8/MjLy+P1157jfz8fPz8/C67xdP1zg2/xnM6nbz22mtUVlaKgZ4ymQy5XP61gjw//elPkcvlvPTSS3R1dbF06VIeeeSRi3IkXC4Xx44dw2Aw0NLSwvPPP8+2bdvYtGmTmFwuIQmPEydOEBMTc1E4VFdXF3V1deTk5FwUHaxUKlm5ciWxsbFs2bKFDRs2fG08q9VKTU0NmzdvZnBwEJVKxcqVK8nIyGD79u1iv9gbnRv+Uevn54fFYhHboA8ODrJnzx48PDzIzs4e8Xh1dXUIgkBSUhImkwmtVktcXBwAVVVVYjDqjc4NP+ONHTuWiRMn8txzz5GdnU1/fz91dXUsWLCA1NTUEY9XVVUl9nJra2ujv7+f0NBQent7qaurIyEh4Wp/hFHJDT/jAWzcuJHQ0FDa2tpwuVwsXbr0oralIyEiIoJFixYB53fBM2bMIDg4GIfDwUMPPXRVOixeD0gnF1fA3r172bJlC2+99Za7TRm1SDOehFu44dd4l4PNZqO7u5va2lq6u7tpb28XaxVfj5Wcfggk4V0Cu91OWVkZJ06coLOzE5fLJZZCy8rKkkT3HZCE9w2YzWYKCgo4deoUgiAwZswYxowZQ3R0NN7e3tIm4TsiCW8YLBYLhYWFlJeXEx4ezuzZs4mJiZHyJa4ikvCG4cJxl06n4+abbyYsLEwS3VVGEt4wmEwmjEYjEydOJDAwEJfLhcViwWg0Mjg4iN1uF1uE+vn54e/v/40FfSSGRxLeMKhUKjw9PcWdbF9fHx0dHXR1dTEwMIDNZsPhcODr60tgYCAZGRmkpKRI4hsBkvCGITQ0lKioKCorK9Hr9QwODuLt7Y1OpyMhIUHsnN3W1kZdXZ3YtupfqxFIXBpJeMOgUqnw8fHB6XSKzfaioqKIjo4mMjISf39/5HI5giDQ3NxMf3//FfU0u5GRhDcMJpOJzs5OtFotgYGBNDc309jYSFtbm9jzFs4X9rFarYwbN06KQh4hkvCGwWAw0NnZSVpaGjk5OajVakpKSmhra8NoNNLb24vL5SI6Opr4+HhSUlKuu15j3zfSWe0w2O12bDab2PtscHCQwMBAcfOgVCrFdlFOpxOXy4UUazEypOiUYejq6mLPnj10dXURHh5OZ2cnZrMZlUolbizgfLTx4OAgKSkpzJ8/X5r1RoD0qB2GgIAAQkNDL0r2iYuLIz4+/qL82tOnT3Ps2DGam5uxWq2S8EaAJLxhsFgsWCwWvLy8UKlUmEwmBgYGLnKtALS2tmKz2QgODkaplG7lSJDu1jAYDAb0ej3R0dGkpaVhNptpbGzEaDTS2toqVg7w8/MjNjaWjIyMEbeeutGRhDcMAwMDmEwmUlJSSE5ORqVSkZSUxODgIDabDZvNhiAIYpSKr6+vNOONEOluDYOPjw++vr7U19eTlpaGn58fvb296PV6+vv7sVgsWK1WAgIC0Ol0JCUlSWFSI0Ta1Q6DzWZj//79lJaW4u/vj1KpxGw2Y7fbxWDQC41XlEolY8eOZd68eZL4RoA04w2DSqUiMzMTvV5Pc3MzcL4uckxMjNgYRaPRcPLkSU6dOsXp06fJycmRhDcCJOENw8DAAKWlpbS1taHT6bBarQwNDdHQ0EB9ff1FncDlcjkpKSnS5mKESMIbhp6eHtrb20lJSWHu3Lli157Ozk5MJhMmkwmn00lgYCChoaGkpqZKs90IkYQ3DP39/fT19ZGUlIRGo8HlcolhT3a7HbvdjtPpRK1W4+XlJQUIXAGS8IYhJCSE8PBwKisrUalUKJVK2tra6O7uFne0NpsNrVZLQEAA6enpjBs37pIdHiUuRtrVDoPD4eD48eMUFBRgs9lwuVzIZDICAgIIDAxEq9Xi4eFBW1sbbW1teHl5sWTJEoKDg91t+qhBmvGGweVyYbVacTgcwPkaenK5HKvVislkwmaziS4Wl8uFSqW6obprXw0k4Q1Db28vTU1NBAUFkZOTg6enJ9XV1TQ0NOBwONDr9eLmIi0tjaysrBuyy/Z3QRLeMHR0dNDS0sLMmTNJSkpCoVAQGRmJ3W4H+JoDWZrxRo4kvGHQarX4+/vT3NxMamoqXl5eVFVVUVdXR29vL/39/QwMDBAaGkpMTAwTJkz4WscfiUsjbS6GwWKx8NVXX1FcXIyXlxdOpxOr1SrOcHK5HJlMJrpWYmJiuOOOOyTxjQBpxhsGtVpNVFQU1dXVYn6FWq0mPDyciIgIgoKC8PT05Ny5c1RVVdHe3o7NZnO32aMKSXjD0N/fz7lz5xgaGiI5ORlBEOjt7aWzs5POzk4xLEqtVuPt7S0l+1wBkvCGobu7G71eT2pqKrNmzcLT05O2tjY6OjpwuVwMDg7icrnEtWB0dPQN3+p9pEhbsWFwOBw4HA4UCoW4W9VqtWi1WuRy+UVdu6ViPleGNOMNg06nIyIigoqKCmw2GwqFgp6eHvr6+kTHssPhwNPTEy8vL1JSUpg+fbrUq3YESLvaYXC5XFRVVbF//36xkZ5SqSQsLIzw8PCLNhfV1dUArFixAp1O506zRxXSjDcMDoeDrq4uzGYzgJi43draSnt7OwqFQnSn2Gw2YmJipACBESIJbxiMRiONjY34+PiwcOFCQkNDKS8vp6KiAqfTidFoxOFwEBYWRnR0tORAvgIk4Q1Db28v3d3dZGRkEBoailqtZsKECWRkZOB0OhEE4aIjM6ku3siRhDcMgiCIST39/f10dXXR0dFBfX09BoOBwcFBhoaGCA0NFXNvw8LCpPPaESBtLobBYDCwd+9eWlpaCAkJwWAw4HA48Pb2xsvLC6VSiUwmw2QyYTAYiIuL48c//jG+vr7uNn3UIM14w6DVagkKCqKqqor6+noA4uPjiY+PJzo6Gl9fXxQKBeXl5Rw7dkw6MrsCJOENw+DgIP39/eIM19PTg9FopKamBr1eL+ZYdHV1YbVaiYyMlNZ5I0QS3jAYDAba29uJi4sjKysLu91OVVUVBoOBjo4OzGYzgiAQHBws5ltIZ7UjQxLeMFyY8TIyMoiOjsbDw4OoqCix2vuFkPgL1eE1Go20sRghkvCGwc/Pj6CgICoqKhg7diyhoaF4e3tLSdtXEelrOgzh4eHExsbS3t7Ohx9+SGNjo1Ru9iojuVO+gYGBAQoLCykrK2NgYIAxY8YQExODTqfDz88PX19fqXrAd0AS3iVwOBxUVFRQXl5OT0+PuMbr6+sjNjaW1atXu9vEUYu0xrsESqWSzMxMMjMzqa2txWg0YjabqaiooKenx93mjWok4V0mCQkJ4t/tdjtbtmxxozWjH2lzIeEWJOFJuAVJeBJuQRKehFsY1cITBIEvv/yS+Ph4tm/f7m5zJEbAqBbewMAAf/zjH5k+fTqtra3uNkdiBIxqd8oHH3xAWloakyZN4uDBg+42R2IEjFrhnTt3js2bN/PWW2/R0dEhOnf/b3hSWVkZZWVlV/Xap0+fpra2ls2bN1/VcTMyMkhLS7shYvtGrfCee+45bDYbH374Ia2trfT399PS0kJKSspFr+vq6uLUqVMcO3YMi8VCfn4+7e3tHD16lMmTJ2MymTh69CjLli3DZrNx7NgxZDIZM2bMoLW1laKiIvLz8wkKCuLEiRPU1dVxxx13kJqayp/+9CdiYmJITU2lpqaGwsJClixZgsvlori4GJvNxqxZs2hvb6eoqIicnBwMBgNFRUUsX76coaEhjh07hlqtZtq0aYSFheF0Om8I4SmeffbZZ91txEjZs2cPJ06c4NZbb8XT01NsZpyenk50dPRFr42Pjyc/P5/o6GjMZjOLFy/mnnvuwWazERERwYoVK2hpaWHOnDmsWbOG0NBQ7HY7S5Ys4a677qK/v5+4uDjWrVtHVlYWra2tLFy4kBUrVqBWq/Hx8eGhhx5i7ty5NDc3M3nyZNauXUtkZCQWi4V7772Xu+++G4vFQkxMDA8++CCNjY3k5+ezZs0agoODcblc3H///UyfPv2G6Yk26oTX3NzMunXrWL9+PXfccQeTJ08mKSmJhoYG5HI5GRkZX3uPXC4nPDycgYEBDhw4QEZGBpMnT2bnzp0oFAruueceXnvtNaKjo5kxYwadnZ0UFRWRlZXFpEmT+OCDD7Db7eTn5+Pr68tHH31EQkIC06dPp6SkhPr6eqZPn052djavvPIKOp2OvLw8TCYTBw8eFK/3ySefoFarWbx4Ma+//joRERHizFpSUkJiYuINkzA06oSnVquZPn0648aNE6N+NRoNaWlpJCUlfWP9Eg8PD3Q6HcXFxZw+fZq8vDwSEhL4wx/+wNSpU0lKSuLll19m9uzZjBs3joMHD9LQ0MCMGTNISEjg6aefFoXY3d3N9u3bmT59Oqmpqbz33nsoFApyc3MJCwvjhRdeYPr06WRlZXHs2DEqKyuZMWMGiYmJ/O53v2PmzJkkJiby5z//menTp5ORkcH+/fvR6/WkpaWhVqt/yFvqHoQbCJfLJZSVlQk//elPhc8++0xwOp3CJ598IqSmpgpms1l44YUXhMcee0xwuVzCiRMnhEWLFgmHDh0SnE6n8OGHHwrZ2dmCIAhCa2ur8MQTTwgbN24UnE6ncODAASEvL08wGAyCzWYTXnnlFWHJkiWCy+USysvLhSVLlgi7d+8WnE6nsHXrViE5OVkwmUzCH/7wB/F6JSUlwp133imUlJS4+S79MEjxeBJuYVQ7kCVGL5LwJNyCJDwJtyAJT8ItSMKTcAv/D8FYffsbAeGSAAAAAElFTkSuQmCC)
A particle of mass m is attached to three identical springs A, B and C each of force constant k a shown in figure. If the particle of mass m is pushed slightly against the spring A and released then the time period of oscillations is
![](data:image/png;base64,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)
Physics-General