Physics-
General
Easy
Question
Two bodies of masses 15gm and 25gm are connected by means of a string of length 40 cm and mass 10gm. The string is made to pass over a smooth massless pulley. Initially the two bodies are kept at the same level and released. By the time the heavier mass descends by 10 cm, the acceleration of the system,
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)
- Remains constant
- Decreases
- Increases by a factor 1.5
- Increases by a factor 3
The correct answer is: Increases by a factor 1.5
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physics-
The reading in the spring balance is
![](data:image/png;base64,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)
The reading in the spring balance is
![](data:image/png;base64,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)
physics-General
physics-
If
and
the tension in the string connecting
and
is,
![](data:image/png;base64,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)
If
and
the tension in the string connecting
and
is,
![](data:image/png;base64,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)
physics-General
physics-
If
and
are the accelerations in the first and second cases, the ratio
is,
![](data:image/png;base64,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)
If
and
are the accelerations in the first and second cases, the ratio
is,
![](data:image/png;base64,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)
physics-General
physics-
The force exerted by string on the pulley is ![open parentheses g equals 10 blank m s to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANoAAACMCAYAAAAayrcxAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABHrSURBVHhe7d0LXE73Hwdw+28zttnmvhmxVO5yN7ckmWu0JnLrog1LaVuuI3elrIiQFJWxenqeUC4ht3I3umFKRSlake4q1ed/fqdjdhHPk+c5Kt/36/V7zfmd03PM0+f5nd/v/M7vqQNCiMpR0AgRAQWNEBFQ0AgRAQWNEBFQ0AgRAQWNEBFQ0AgRAQWNEBFQ0AgRAQWNEBFQ0AgRAQWNEBFQ0AgRAQWNEBFQ0AgRAQWNEBFQ0AgRAQWNEBFQ0AgRAQWNEBHUyKCVlpbi9p07SEhMRKKKSkJCIpKSbiM/P184KyFVVyODlpWVBb2h+ujarbvKShftbug/cBDCjh0TzkpI1dXIoGVkZKBRk6bo2KUrrOfMge0PP8LG1lZpxW7ePPTt1w8fNPgIMplMOCshVVcjg5aZmYmPGzbCgkU/CzXKt2fPb2ip1hqBUqlQQ0jV1eigLVq8RKhRPokkEK1at6GgEaWo0UFb+PNioUb5/P0DKGhEaSholaCgEWWioFWCgkaUiYJWCQoaUSYKWiWkUhlaf6GOw6GhQg0hVUdBq8T69RvQ4ONPMMHEBIuX2FOpZuUnu7nw9fUT3q3qj4JWibnz5qNOnTpUXmf539sV5Xn7uPLZ5y3h5b0DtxIS8PjxY+Gdq54oaJVwcl6H+h98iKH6wzDN1IyKCMXUzBwzZs7CdMtv0bFzF7z7Xj289fY7aNikCbfdGYOH6GH8hAmYMnUaRowchc5dtdG4aTN80qgxRowazYeOTc+rjiholQgMlPJ9tIMHDwo1RAxxcXGYv3AhtLv34C/bXdevhywoCL9fuYL09HThKCAvLw/R0THYvz8Y7pu3cJeSdmjfkQujrh4OHjokHFV9UNAqQaOO4vvFxRUtWrZC95694B8QgIKCAmGPfG7evImx48bho08aYumy5SgvLxf2vH4UtEpQ0MRTVlaGVavXQLNde36gIzPzgbBHcayv5uTsjLaaWvzvR0lJibDn9aKgVYKCJg7W6qxzcYHxRBOcO39eqH11VyMjYTHdEitWrsKTJ0+E2ten1gWtlPsEKy0TNjglBbnILSgWtuRHQVM91pI5OK6FMdcXe/DwoVCrPOyhXVNzCyyxt+fP9TrVqqClnt2JBUs3IpYfeHqMuFN7YDVxJGw9FP+kpKCp3nYvb2h364HomBihRvnib91Crz594ey8Tqh5PWpP0B5EwW6oGhr3nobwP1lFIW6GukO34+cwWH2CP0QRFDTVSkxMQodOnbFtm6dQozr+ARJote+AyKgooUZ8tSNoZY9weMsqmI/QhsawWYi4X1GNgmjYjNTGuJVhQoX8KGgqxPXLrKytMcZgLApFuNHMLhsnmkzCVFNTfr2Z16FmB22xPb8df8wbazZJcdB1OjoNtUT4Pb4aeHQZViO6wnDVcX4zKy0RMZGXcf78JSSk5/F1TGZSLNcRv4ykh8/6ckGBErRUo6Cpwh9//AGtdu1x6NBhoUb1Ll68CHUNTUScOSvUiKtGB81+xUoUpV+Gw/J1+P1+Ea5vM4WmrsVzgnaS30w84IzRoybAYecBXL+bzbeEJ/xc4OD+Kw7t88VCWyvYzl2I1Zt+xSIXP2hptqWgqcAvrq74sv8ApKWmCTWq9+jRI/Tu2xer1zgINeKqsUH7pFEzLFs0AyGe67HrbEWyojZNgeYQS5zL5Df5oH3PXU5O+OU8SjKjsXnNMngfjuF6bxWST7qib+8x2BPFasoQZD8OzZr3xNYz17HNJwDq6l9Q0JSMXboNGToUX40YqbSRQHluTLP7aezSccCgQcjJyRFqxVNjg9a0RSsY9esMB8+DuJtbiLzcHJx0ngANnak4FJePEvYeZv+OOWN6Qm/qXMyznQffiNSKF+CV46zbBDTWNsUFoU+XtG81enTojUDusMPBQdRHU4HU1FRoarXn73FVBbsndv36DewPDsaOnT7YvMUDd7nXlMfKVWtQ7/0PkJycItSIp8YGTY1rbRp99CkG6I+EgaEhDMaOxeCe7dBcTQN9h03Fjsvcp1ZBLOZ+3QtddYahq1ZvLN8XJ7xCheQTruil1Q8uYXf4T9qIzVboM9gMkVz3bZ9MCjUKmtIlJSXx8xidnJyFGsWwkMy2mQNHJyf+9sDeffvwUM57cJ7bvfBO3XoUNHnxLVrzT2E0/hv4/7YHPj5+2LVrF1ZY6EJNewgWbZQh6n4xkBcJmzG9MGmNDJLlxmipNRy/Rv1tdndpDmQO32OS1XL47PKB4ypHyC5VfDoGBNCooyqwFaAHDNLBgSpO1mbzH+3mzUdwyAGhRn7eO3bg3ffqU9DkxYLGJo4utl8q1FSIcp8CDd3pOP/0Ay4/ElbDO8Pol8tA8W2sMO4BLT0bnEuvmJKTeyMYc23mwz88HskpKbiXmc311CpI/APQkoKmdLdu3eIfPbpy9apQo7jYa9fw9Tfj+UtIRXh5e1PQFMGC9ryZIZc2mEB9kBki2A3r8mxckjiiv2YTdDCwx+XkB4gNXICWH9aHtuE87LuQiDsXPDG0nTo6D9Dnn2caOcYAY02+g3foNfhK96FNGxoMUTbWog3kWrSqPn70dJLw6jWO+Pa77xQaUKGgKaiyoBVkJuOPhBTk8w1WEdLvxCMmOhoxsXFIzylAfvafiIuNxOUrkUi8n437MUexycUNPgFS7PTcCrcNLlhmNwPTre1h4ShBRy0a3le2hIQEdO/RE24bNwk18tnAHa//1XBYWH4LM3ML/lm1DW5uCj0KQ5eOCqosaAopvI4l5iZwDn06jUSQGw+ZlydmrAtAe011CpqS3b+fzj+gaW0zR6iRz+atHhhlMJZ/+JMNz7MHPxXlsn493qv/PgVNXsoIWll+NBYY9EEXHWMsddoIb99d2L7FDWscXHH4ajJ2BwWhDfXRlI61QKO5S3Q2/UqRy77SslIsW7ESO318hBrFPCl9gllWVvwXl6Rw/XGxvbktGif/z5uQejhgzuzZsLFbhLWbdyH82l2w2XBSGnVUGY9tnuj7ZT+kpT2dwlM59qjLvXv3uFYoGadOn4buUH2EHjkq7JVfdk42dHSH8OuLUNDkpKygPVPOfbr+81qfJhWrzu3bt9GhYyd+XZaXWevszC/KM8f2B/7rtKysbXD4sOJrbUZERKBh4yZo1vxTCpq8lB+0/6KgqQ67fPx5iT0GDByE7Oxsofb5jp84gRGjxuDipctVflKaLW/AZu83/+wzNPuUgiY3ClrNxy4H2SRfB0dHoaZynl7eWOfiKmwpbquHB3QG62LBwkX48KOPKWjyoqDVDlKZjP+yxz2/+Qs1z3f3birMLCxx5qzij7iwp7c7demKoKAg/jx169WnoMmLglZ7sGXhWN8pQCIRairIgvZitYMjFnHvMRtt5PtmoUeEvfJhvyf6X30Fq9nW/LaPry/epaDJj4JWexQVFcHUzAzvf9gAa52cUVxc8fCt0fgJ+MluHt8i3bjxB3//TN6l49iw1tFjYejXfwAMvzZCbm4uX8/PDKGgyY/N1mZBE+OrddkquUS12EOZs62t8X6DBjCZPIVfCFXK/buPHG2AnGzFnh1LTU2D9Zw5fCs5ecpU7rLzrrCHgqawBw8eqDxoAQESPmisH0FUj7VCPr5+/CI63Xr0hN3ceahb/wN+AEPe0cZjYVwrNmAg3+/buGkT31r+Xa0LGvuHmTJtGv8/3L5jJ6UX9mawTywNrXboz/3DqqJ05jrQTZo1Rxv1ts/9O1BRbmEDFt179EKLlmr4oMHH+N87ddHssxZo3LQ5evTqjb79+v+nsDmTbGIxC+XIUWP4x29Yn+727TvCb+I/1bqg5RcUwH7pMv7eBVvAUtll4qRJfIv29rt1Ueet/6mksG8xYUPBevr6z/07UFF+MbeYjnFcn6pdh44wnjARjZo2g3b37vi0xed4h3uv2bfL/L28zYWRfeDq6Q/DilWrEB8fL/wGPh9dOlbBVFMzjB1nCKNvxqukjDP8mv+giI5+fWsBvokKHxfCxvYH/gsv2NdmsZHC8+fO80sXhIQc+Edh3yQTxl0uZmU9En76xShoCmIzC9hIEpvFnZPD/quKksOfozqs2/6mYSON7Btl6rz1llKXpKOgEfIvLq6u/Ld97tu/X6h5dRQ0Qv6FLXnAgsYW31EWChoh/8LWBaGgEaJiFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCRKCKoPn6+eGd9+ohIyNDqBEPBY1USy8KWkZmJg4eOgSZLAiBUhmkcpTgkAOwmm2NulyL5rHNk3/d5x33tLDXDZRK8fuVK8JZXw0FjVRLLwpaxJkz0GzfHh990hBqbb5Aq9ZtXlpaf6GOz1upoflnLdBSrfVLf47tb9ioCWZZWaG8vFw4c9VR0Ei19KKgnTx1Ci1atcLXRuMhCQyEv38A/AMk3J+lfCskkUgqtqVB2Lt3LwIl3H7uGIkkEFKZjN/H/8wLCmvRJk+ZAlNzc5SVlQlnrjoKGqmWXhS0EydP4ou2Gtju5S3UPFNaUoySUmGjvBBpKSnIe7qtoO1eXrCwtERpaRVf4G8oaKRakidoGze5CzXAvegjWL9mNVy2+OH09Xt4nJOCPcuM0WGACfZfeywcpZhN7u4UNFK7yRe0Lfx2/BF3TDScjC1hN1DC11S4e2wFumgbQBJdKNQohoJGaj15grbVayeKbh2F8cAvsVB2S9j7TPqF9ejf2wiBMQXcZWQZnhQXIT8vDwVFT4QjgJLCPOQWFAlb/0RBI7XeS4Om1RE+HqshtTdE237f4uDlKISfPoMbyY+Eo4D7513Rjwva3ptlQPFNbJg7E7artyEsMoUL3mPEnT0AH79fsdPDHdt278OJ8Iu4nvwAT4c+KGik1ntZ0DQ6d8PGBVPwva46epk6IDBgJ5bOGIMeOibwvZDGH5fOgtbHGAduPcadM7uxdOVGnE3M4felhm/F2NHTcfROEYrTwjCxd2u007PGgYuJeNreUdBIrffioJ1C+67dYD99GEZodsCPgbEVO54k4Cc9TWgbr0FqOfDokht0+4+G3RIHrNssQXJ+xWHcgQhxHA9Nnfm4xzdf+XA118Mwa19+71MUNFLryRO0xRZD8ZVWHzidSxX2AOFrv0HbgdNwLpeLT9QW6PfphwG9e0NnmhNS/uqaleN6iCMGfzkWflf+RE5GJH40GoZZbqf+umxkKGik1nvppWOnbnBbMAkzBnfHrF+vCXuAK5u+Ra9x8xFfAuRd3QCdgVPgGxSEmUO7wnCZDNnCcSi+jS2LbWDvLsGxEH94+x/BvX/dBaCgkVrvpYMhGh2ww3MdjrrNxOCJqxCXw/W1Cu/Dw84M87zO4UlZCRIPLYGmhh52x+Qj47QLtFu2gaX7cWQXFCE53AuW5jbw2L0XwaEnEZuYiqz8YuEMFShopNZ7adDaasB9mxfXMqXAc4UdlrvvRuCuLXD1DkY6l4vyrCRIN/yEEaMnwWn3WTx8cA1O3xlgsOFM+ITF4OYpHxgP6YvBww0wYsRw6OoMhK6RNYKuZnAXlhUoaKTWkydoz2aGlOBeUhwS07KE7ZcoeYDQXVsRcPIGHj7KQlpKMpLiY7HH3RFrtx/966Y3BY3UelHR0ahTpw4/afjf/hs0xZSmn4elfk9MXrYb15Iz8DArC3fjriDAzxfHYzPoPhp5cyQmJWGgjg7CIyKEmmdeNWjlpYW4GuKBmZONYDDOCN+YmMF22QYcv3b/r3toDAWNvNFeNWjPlCLnYQaycp8/6ZiCRt5oT4PGnpRWpW2enjCfPp2CRt5M7MHPNuptMet7K4SHhyMsLEzp5ezZc9zrf18RNHrwk7yJWIvGliRggyWqLuwJa1rKgLyR2OI8oaFHsD84GMEhISor+/cH42pkpHDWV0NBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0QEFDRCREBBI0TlgP8DOE/0kccfGI0AAAAASUVORK5CYII=)
The force exerted by string on the pulley is ![open parentheses g equals 10 blank m s to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
Three equal weights of mass m each are hanging on a string passing over a fixed pulley as shown in Fig. What are the tensions in the string connecting weights A to B and B to C ?
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)
Three equal weights of mass m each are hanging on a string passing over a fixed pulley as shown in Fig. What are the tensions in the string connecting weights A to B and B to C ?
![](data:image/png;base64,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)
physics-General
physics-
A light straight fixed at one end to a wooden clamp on a ground passes over a fixed pulley and hangs at the other side. It makes an angle 30° with the ground. A boy weighing 60 kg climbs up the rope. The wooden clamp can tolerate up to vertical force 360 N. Find the, maximum acceleration in the upward direction with which the boy can climb safely. The friction of pulley and wooden clamp may be ignored ![open parentheses g equals 10 blank m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
A light straight fixed at one end to a wooden clamp on a ground passes over a fixed pulley and hangs at the other side. It makes an angle 30° with the ground. A boy weighing 60 kg climbs up the rope. The wooden clamp can tolerate up to vertical force 360 N. Find the, maximum acceleration in the upward direction with which the boy can climb safely. The friction of pulley and wooden clamp may be ignored ![open parentheses g equals 10 blank m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
physics-General
physics-
Consider the shown arrangement. Assume all surfaces to be smooth. If N represents magnitudes of normal reaction between block and wedge, then acceleration of M along horizontal is equal to
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)
![](data:image/png;base64,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)
Consider the shown arrangement. Assume all surfaces to be smooth. If N represents magnitudes of normal reaction between block and wedge, then acceleration of M along horizontal is equal to
![](data:image/png;base64,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)
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physics-General
physics-
In given figure all surfaces are smooth. The ratio of forces exerted by the wedge on mass 'M' when force ' F' is not applied and when ' F' is applied such that ' M' is at rest with respect to wedge is
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)
In given figure all surfaces are smooth. The ratio of forces exerted by the wedge on mass 'M' when force ' F' is not applied and when ' F' is applied such that ' M' is at rest with respect to wedge is
![](data:image/png;base64,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)
physics-General
physics-
A uniform rod of length 60 cm and mass 6 kg is acted upon by two forces as shown in the diagram. The force exerted by 45 cm part of the rod on 15 cm part of the rod is
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)
A uniform rod of length 60 cm and mass 6 kg is acted upon by two forces as shown in the diagram. The force exerted by 45 cm part of the rod on 15 cm part of the rod is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXQAAABUCAYAAACSuMzRAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABx1SURBVHhe7Z0JXE3pG8cbNPZBjG1sQ7Yx1jEGEalUCNOQfSlLxMgWMxgaYxnGUrYoS9n3fTcj2SJkMkUbpUVKtGlXv/9533vS7XZv4t96er6fz/Phvvfc5ZzO/Z73PO+mBoIgCEISkNAJgiAkAgmdIAhCIpDQCYIgJAIJnSAIQiKQ0AmCICQCCZ0gCEIikNAJgiAkAgmdIAhCIpDQCYIgJAIJnSAIQiKQ0AmCICQCCZ0gCEIikNAJgiAkAgmdIAhCIpDQCYIgJEKBCj0u4jkee3nBJyAYCRliYa4kITw0HIly22akpyLm9Su8iYlHYlISUtJUv1FaUhxeRb5CXEISkpMTER0lvC42Aeni8wRBEFKmYISeFolDKy3QuWV9VFAvi4rVG6CPyXScfhAmbiBPBlJT4vDwygHMGGYIrQGz8VjOwOlJUXA5tAVzJo9Anz59YGQ8Gk43QsRns/Mm6AH2bP4TE037w9DwR8xZsh7n7/giRXyeIIjSy2uPIxg/ahx2uTwVS3Lyxu82nBzssc3BEY6OjnDYZg97p6Pwi4jBo3+OYPMGO2zYuAlb7Lfh1C1/8VU5eeHtih1bNmPzFnv+Hps2bYTzyeuISRI3KCAKQOjJOG4zBBo1G8LQ1Aw/Tx0PrZY1oaamhkqafXHCK1rcTkZGwktc2m+Hcf3a822qdZqEJ+JznIx3SIiJRMDDC7DQbcq3qfLtYFwOSBY3yCI9LRkxr8Kw1awDqrU1xbWAl3iblCpcMgiCKNW89cGs3vW4P6Y5uouFCmS8wgqT5nwb+ajQZiQ8opMRGfQEZ5xWw/DbWrz88wbd4HQ3QnxxduJfBcPzxllM7dMQauUa4xf7U3jkF4zkNHGDAiLfhR7ndRBDB47C0YcvxBJB8eH3MU3va34Qekx1QJxYzsh4l4Z3797hjddJdK6khi86TckudDle3XRAq/Kyg6xpNBc+seITCty3t4DO+L/wRnxMEERpRqhkLjNFJS7oWpi320Msz07I5bX44dt2GGlugYkTzGFuZgYz8wlYf+y+uIWMWN/z6N+iCvdQrfbDcSM0UXwmJ+7bzdCsqyUCU8WCAibfhe5zbg/2Xs+p5ODLf6F+GTVo9JgOHyU5kIznN9C3rlD77jBZpdBf3tgJ7XZNoVm7Ij+YfaY7IkZJ9dtty1Toj1sF5ddOgiBKE/5n/4LRwAEYMegHwRuVMEeZ0FND8ccoIyw46C0W5EYUVpq25g5i0WbQbwhUkUp5eMgK3Q3mITBnQqFAyHehp6aoSHH4nEKnymqoqzcPwe/EMjnSg66jb73chR58ZRMGDJ2K00fWo10NdjBrYILdP1B8O7fNU6A3loROEKWd5LBrGNGrFzZdf4jDCw0FZ5RXKvTQv1ehZaPWmLf5DP4Lei2WqiAlCIt/6g294UPRWoN5SB1G1rsRIz4tj8fBGeja1xrPCjh3nknBNIoqIfbODjStoIYBNudzCJiRJ6Ff3gBd4ykIES4Z7rtmoCa7QlZsjlXnfMUtZJDQCYJARhRsJ+hh8C9HeE+3PbO0lQo9IyEQ83Rl+XUWGl9pYpCFDVz9lSlaIPkZ5g/ojUVnPOHqNBMa7HVlamG6401xgywkK/RLq4ehet1uOB+kvM9JnoXe3wxP+MF5i72/DMDnwsGs2EgXx72zMubFTegeHh5wcnLCnj17KCgkHzt27MDVq1fFs7/ouLtrFnr0mw5v3g8jGTtn9FQq9PRIL9gtssTYYYPwfav678VetVkPbL0aIG4lhyD0ef20MPOon/AgHjtn6aMMe021Ntjwd5BsGxFpCj3SDSbtGmL0elexICd5F7o5vOPFgtTnWGbakR/8elqT4fFKVlzchD537tz3JwkFRWkIAwMD8ewvGuK9jmNAT13suJNpgUSVQs8iDa/Dg3Dt0DoYtf2S74d6Qx2cfKxQUxeFPuPAv7LHiQFYNEiWU6/Ysj8u+L6VlQtIUOjxcJrdHz1GrkBYLh3CP0noAu8i7mGiVl1+MDuPX4dXGcAjR8tiK/QOHTqgc+fO+O677yQVbJ/Kly/P97FcuXLvyxS3o5BufP/99/jyS5kIi1ToSUGwGaGHaZtuiAWMNDjPlKVcrPc9EstUk/D8NiZpN+T70s1iu2AxORSFLpAUchOjv5PtexNdK3iL1wCPAxIT+t29C6E/+Ge4R+TeAfNThc6I9ToB/ablhIOpDrN153BzlzX6ma0uNkKfN28e/0Pr6+sjMjISb968wevXryUXbdu25fvZtGlTREVFKd2GQrrBzutFixbxc8DIyEg8+wuZjGScXzMROqa/4Vl8GlKSkpAkRHLKG2ybpiV8t/KYucMNicnJSH2X+xjyNw+c0a6qUEtvYYI78sNnlAidEeVxENoN1Pn+95y8Baye/uTYTOkIPeDSZgwZMgmX/VR0GJfj/xE64+nldWgtHHy1Co2gp9MdRhZ2EDMwRU6m0EeMGCGWSJOOHWXprxYtWoglRGlj7dq1RSr09OB/oN+4HGo1/wH6ur3Rs2dPIXqhT58eaPlVdeG7lUHDlh3RU6c/bE//J75KFVH43fhrqGl0w1n51LgKoTN8z6xEU+YhteqwdLgKj9MLoG04r+QLPfTWPpiPtsA5X8U9yUBMdCwUp2TJk9CvbITegAl4rETo7H1vOs5ALeFkYidU90kbi83AokyhDx06FBkZSjt1SgKWTmL72bx5c0nvJ6GaVatW8XOgqIT+7pkrzPW/Fe4Sm/E7xaz4Gl9WY+NXPkO1WnVRr0l7LDnwQHyVKtLh9LMOajbtBzf5NHouQhe+AVw2TkIN5iGNljAZYYBegxap7Kee3xSI0F+474VJH10sdnZFcHAQ/P384O/vjyeebnBePheLHS8jQbHvYrgbDPjAIgsoaVfmvLi6Cb37joOvylFXcTi40BjlhIPZwcwO2ScZKDpI6ERpoaiFzmDnXnp6Bv83KxKwQ2wUne38AOmsTNxeNbFYMbwzuo7elCOHPr9/DxVCZ8Rg5ywD7iH+exhsg9CSObAoBd7nN6JDNdmOVKuhgSqVK6FSJVmULyeUl20Fp3tyyZCMVLwKe4Yb+5ehLjsAlTrA3sULwRFZaZp3SbF47v8YDnMMUbZsQ6w+9wBPQ1/lqOVzUkKw0LAN2g9dWuxy6CVN6DExMTw3mlc+VugvX77ErVu3+L+ENCgOQldOCpysxEbRvZ5imYzUxFi8jMh5Px9xZxt6ddHFHg+F51KDML9fN1gdyiVlk/QUS0xkbUoNjW1y7RCSn+Sv0DOicXbrYkycOAlTpkzGBHMzmLH5EMQwN5+I+baH8Uq+fTQ9Du4X9+OPBXNgaTmNx3ybNTh1i/XxlJH00g/Hd63HLzMthfedCuvFf2LPubuIVzZCSSAhyB3HT7ngTTFxZ0kSupeXF/bv38+/M+u5cOjQIfGZD/OxQo+OjkanTp3QuHFjfn5s2bIFN2/eREJCgrgFUdIovkJPhMPULvy7zdglPzdLIg7/Nhh1G7SG2eJtcPMKRMSLZ/j7iB2GGhhi+eHs87gw0sJvw/jrKjD646JYopzUsNsw/aYqNHpZI6SkDv0nclJchc7EGRQUhGPHjuHnn3+GlpYW6tfPGljBGjdZr5y88ikpl+3bt7//PBbVqlXjF5Lx48fzwVi+vr6Ij1faaEIUQ4qv0JNwaMkQNGqkiT+OeYlljBRc22aFxpVZLzk11GnWDr109PHTGCscuvVM3EYkMQpXDmzELPPBaNXoK7TuNgDzl67DlUdZExEqEn7DAdPm2yIwq2t6gUJCLwSKk9B9fHxw+PBhLFiwADo6OlygmTJVDDs7O/FVeeNThM7SOqz/suJnZwZL1XXv3p0fQ3a38OSJqiZzojhQfIUOpKelIiUlBWnpiudmBkK83HD84D7sO3gCN/99ikRld/9sKu94loaMRkJyChLixP+nfGBO3Ix05PjIAoKEXggUldBZ/9uQkBCcPn0as2fPRu/evdGwoWywxIeC1ZI/FjaQiL22VatWYkneOHnyJD7//PMc30FZsO/PLkTsmF68eBHh4eFIS8vPSabTkZqalocGM0IZxVnopQESeiFQmEJnKYoTJ07AxsaGD2TS0NDAZ599lk2KeYm+ffvylAdLieQ1Mi8WderUUfq8qrC1tUXNmrJFUD4mypQpwz9r8ODBWL16NRd8WJiyVbHySOoL2E4zxYQlzlDaFJwWjX8Ob4Xtelv+nW3tbLFunSPcgz88zqK0QEIvWkjohUBBC53lwh0cHNCvXz/Url07m/RKW7Rp0wYTJkzAjRvyw77zhusmc6gL79FkoA2UZUVDrq5HPYXPU6ulg4sBhZQgLQGQ0IsWEnohUNBCT09P56mH48ePw9ramou9SZMm2cUj4WB3Idra2pg4cSI2btwId3d3vH37cZKNcD8Ao1Y1UE69DNqaLke4WP6etDAsNzOCyZSl2LBhg1BDX481q9dg/9+eKKTFaEoEJPSipdgInS1DJ1UKM+WSiZ+fH8+dL1y4kDcqVq/Ohj0rF6KyaNeuHc6cOYNTp07lOb7+WrbMIOspw/LiyrZRDPYZ8+fP5+kTxe+gKjJ7wsycORMHDhzg0xP/X10doz1hNcwECxbMR6eaZaA5eGkOoT87+yeMhsxFqPiYUI6UhZ6aWvwv3UUmdFar9PT0hLOzM3799VdJDy4pCqHLw1r2nz59il27dmHSpEno1q0bKleunE2SisFmzQsIUDVmVzlMsuy1H9soyrooKn6+fLD8OquBT5ky5X1XxuTk/OrYm4i9C0wxdNFRRPuc4atqNVUUelIIFgxogRoNOsJi/jIcunIPsbnP68R5l/wWb5NVb5ghX4nJUFGhEX4nJQkpC93NzY1XPlhlhf2eiiOFJnR2dWNpAVYrmzVrFu+pULeubNpb1qhVEq5+n4oqoWekvMWdk/ZYsm4/XqpeZ5YT+fgm9jrvgvPu3dgthLPTLuw+ehEhn9BFOy4ujp+cjo6OGDt2LJ/rokKFCu8FmhlMoB/Dp3RbPH/+fI7P/eKLL3iPGXaeZNbAExM/cIA+Ed9TK6DXfwoesJXLfQ/j24o5hR52yxGda1d6P5RbTa0KtEytce2p8oMf8d8lLP91NqZbTsYIk4EYabkULuLqNwlvXsDt/B7MGm0C661XEB0bjO02FtDu2gVaesNgf0HWLfPFgxOYOXoAunbpAoPR83DVr7hMZJE7Uhb6ixcv0KhRI75/zZo146nNJUuWwMXFhc80WRSVNUUKVOisx8Hly5f5H7l///681le2bFnxRyELJpLisLpJQaIo9PS4MNw4sxPmRt+hfBlBYFoz8Cy3lG9KMOb1lZ1I8tHUaAGC8+E6GBsby0do/vHHHxg4cCA0NTX5+7M+4P/+q2q+ipx8rNDZ53bt2pULPLMGzu7Y2Lw/rMtlQZMc4oIxhgbYfC2YP07z3KdU6MnxUfD3/hcuZw9iubU52taXXfzqfjcarsHZ/3D+l2yh/b02lh90RUhoGLzPrkFjYdvKrUxwLTAej684wUxfthhC6wEWWL7SBlY/z8B084HQ+EwN6l9pY/W2rZhlNhLmk6dg/OCuKCts28hwAYKSin9tXeo5dHt7e75/8sG63LIeXsOHD+dtOK6urh81ZUZ+kq9CZ3nMBw8eYM2aNRgyZAjvcaC484oh9SllGYsXL+b7yoUuPE6PDoLrlTPYMvcnlBfKa+la43kuKWDf4zbo1KY9ho0xF2rUYzBm9CiMGjsBO/9RGMmWTwQGBuLcuXP89pLl4fPKxwqd1XhYDfzevXv5mELJK5Gwm2IMs1XnkNmLPdVzv1KhKxLhcwWT+jTl+9p1qgOiRc8mR9yEcZNK0J5zWFbACcfvP2pCvezX2PhPCC+JvLiCzwraUGcSXJ5G8TLhfg27Z/fm79ll7Eo8Ccs8ISJg3UtDKP8GB3yLf/dI1mDM9oFVDKQKm5KX7aOqYAu9sCktRo0ahc2bN/PpNArqDlOR/0vorBbFBM7WEWS1q2+++eaDuVnFYK9jOSk2/FyqwVJKbF9z5NAf70FzdTXU6D1HtdCTAzBviCGWnf64fHZ+wfLveeVTUi5FQzru7l2MYZZrsvc3f3YK7SupQXPoanzo55cSeAkGjdWh9qUergbLLkb/7bbAZ2oaWKlwoU14FQzvJ08Rnyozf8y19agjHKcfpu/M1kPmpoMFP34Ttt4TSxgpcJzUXihviM3uxWWGf+UwaY0bN47vAxOast9CSQ+WMh45ciTfx7xG1apV+W/DysqKV2BY22FBpZg/SuhM4N7e3nwRWAsLC/Tq1Yt3GVO2ExQ5w9TUNJvokr334tsKgtB7qRZ6wIlFaNqkHRbvvIKAcJboLb6UFKGnv3RBP82aaK0zDFbTp/JKBQsLUz3ULKeGL5p0xnCzKVh/8KagU9Vc/N1A2F9NbH8oE+2J+b2Ex19inWv2hYIVic4U+jTHbNOy3twmE7rZZjexhJEoCJ0tHFL8hc7mBZI/3ymUBxsr0qdPH1haWvKOCo8fP863FONHCZ3No8G6iuU29waF6lAm9La5CT3OF9O0ar1/feXazTB0xirce66waK08qa9x+9JROGyyxQb7nbhy1yeHlBIj/XHh1Gk8CJTdwj97cBW7hRNr3/ErCI7N6m0R5HkdB3Y7Y++RC/B/9eGUSEkRetqzs/ixSws0btQA9evVQz0h6jdoiPq1a0D9MzWUq1gVteo0hOnCvcjtZ+Z/eh6qV+mEw49lF9qTv+gJ+/8Zxm+TF7JIahJevX7N0zvva+iWDtmEfmPrZH78zDbdFksYiXCYyI4rCV2K8cMPP2DOnDm851Z+8EkpF7Ze5PXr17F161Y+7SmblS+vc3HIh7q6OpYvX867okk5WGs421/FlMuHhP4u3BMbllhhwigTdG5Z7/1xq9m6Hw7czdkjOtbnCqxGDMS4Gb9h86aNmDuqJypX+QqD52xFKLvDe+ODHatmQ/c7NuioJqx3XMTpHQvQvXUDnstn793R9Hf4R73GhY2z0Ll5XS44Vt6sz1TcC8/9NrGkCD0jLQEvQ5/ztgImIRbPg0MRcHEDWgp/j8YGs3E3MBSRb+JzndPF3X48WvSaDn+xXfSR8zTeE6Z296nwUcjZeJ1xwpZDrlzo8a7SFDobzMXaxNg+sHEMyn4LJT1Yoz0b28H28WOD5dZZu+LkyZN5DzPWESG/G0/zpVGUzWt9//59rF+/nkurffv2SrvBKQYbTMJeI3VY1ya2vx8r9PdbZrxDfEwEXPavhf43shr7F98MhWtIlmBTX97C8E710W38OkRkdoaIe4gBdWTHes7+x8JGbxHw8ALGdGGrk38B/eHTsMn5MLyeh+HFowsY3pENPqqOPkOn4LcVtrjmHYyXQfcxf2AL/h6jba+Lb6yckpNDV4HPEbStKFy8TFbIrXaVgegXgQiMyN6bJSP6ISYb9sbiI1m9gBLDXGDcRLZIsLb5Crj954fngb74e/cKGBuPxllxKfj4Gxu40LtO35HtDsBt+1T+2on27mIJIxU7LVjKpRG2euRyZ1ZMYL082D4MGjRILJEemb3WPhSs9xYbmzF69Gg+1z/LnbPZRQuSfBG6IqwGz7oisulXWUsvG0FYrpxsvmHFYM+Fhkp7/J2qfugfTLkoIT7wKkZ8J5uvZaDNGVH6yTj5W3+ofd4Eux7KJVgykoWathUGDhyJfW6Zs5OkwXFqd+H16piw0UUsk3Fh1TD+vt0tt2VrFPQ++isqCuXfT7QXPkk1JV3oqR5OaCR8/1r6C/B+iq+kIMw31ES95l0wz24/7ns9wa3zezBzjAlmrDmJ7P1O0uF9+k+0qy12zVX/AvW/qoOKGi2xaN8D4VkgJSEWt7bIcuW19azxJCoWKWlpSIiNhNPcPrxcZ6YT3sQmIC0tBbFRvpjTW9ZONX3XPcQlpuR611DUSL3b4t27d1GlShXZ31chWMYhswbO5lZiq3GxMR+FSYEIXR72w2aCZwNZ/vzzT37lZr1h2M5nHohly5aJW0uT/BQ6I/SqLZp8Lgih50w8ZwVJ/pjWrRrU6hvihpLxJ6lp8v2Xk7Ddkgm9Cn47Kj/RP3B9yyTZ91x5XiyR4Xd2JWoK5R3G2iK307OkCz3tmQsmGxtgnM2+rAXG0+NwbKU5WjSshRq1G6FzDz2Yms/ErgseKhtMgx+cwW+Wo6DbuzcGj52NY3cCxWcy4Ot6ADPNTWFgYABD4xFYsvkQAsLC4HLADhNNjXm58bAJsNt3DSEv/HHI7leYDjAUyvti6PjZOHzTD8V5kgwpC531TDExMeH7x4LVwDO7J2bWwFm2oigpcKErgw3zZ1Od/vXXX/wA6erqIiKiuKwAmv/kt9CR9hSWXWuicqsR4KsjRt3D0ObCSVZXF1dUL54ikiwKvTJ+PZh90JDr5on8e/649JRYIsP3zAou9I7j7CQt9NyIDgvAvx4P4RMY/r7fOpETKQudtRuydDKbBI61H7IceGHXwD9EkQhdHrY4AUu5FFbH+6Ig34WOaCz/qR2adLOSTfMa7YnxHYU7nrJfYZ0yo6clIOCJn9gAR0InCg4pC53Vvot7xbPIhV4ayP8auj8m9WoJ0xV/yx6nR2LVyG/5Z7QdtgwvFaqQ/53ZgF/+OgpZsx4JnSg4pJ5DL+6Q0AsBVUJ/57OfDyyq3tsaYUoSsnERgXjk/TTHfNt3dsxGN90JcH+VlRv3ObUM9XgXw4roN30tbns+hr+vNy7sWAKdnv1xwDMzt5eGXdO0hO0qY+GR/8QyGbe2yhrrflp+TiyREXBhlUzoZpuQ23WHhE6Q0IsWEnohkEPoGe+Q+DYOPkcWoapQrla/P/7xe42EpNSsHgzpsdg2pRvUK9ZBf4vfcerafTy6fx2OK63Qz3gsjnsq3PqlR+PQkuFcvOyz1NQqQKN6VZSp3Bhzne/K3jc9DQkxPpijJ+vTbvLHMcQkJPG56BPfRmHHTDbSkdXE1+FFfALShPLkhHhcspUN59bQmopHr98iVcWKtyR0goRetJDQCwF5oXOSgnF0y5+YMnIQevboAS1tPYyZag3nCx5Z3QUzUuG2bwm+b1IX5T+viAYt2qN334GwXGAHjxeq6snJuHNyKyYNMUS3H7phwJhZOHIra97mtNePsWPlHBjraaNHDy3oDx6Lv5wvICw8CEc22cC0n65Q3gM6hj/h1/W74R8Wjr/3rcf4Hw2gJZRr6xrh59/t8V+k8v4dJHSChF60kNALAVUpl7wQ//IZ3G/fwO27DxH6ung3HJPQCRJ60UJCLwT+H6GXJEjoBAm9aCGhFwIkdKK0QEIvWkjohQAJnSgtkNCLFhJ6IUBCJ0oLJPSihYReCJDQidICCb1oIaEXAplCl/r6qR07smle1fj8+ETphK0nTEIvOkjohUCm0A0NDREfH8+Xm2Jz10gl2P6wYIsasP3U1NTkC4ZLbT8pVAf7W7OFvpcuXUpCL0JI6IWAtbU1P8nZgh46Ojp8ilR9fX3JRN++ffk+ZS4QzhY3ySxX3JZCmsH+1qzC0qQJWw1LVnkhCh8SeiEwa9YsfpJTUJSWYIsgE4UPCb0QYPMmr127Fra2tnwVJwoKKcfq1atx8uRJ8ewnChMSOkEQhEQgoRMEQUgEEjpBEIREIKETBEFIBBI6QRCERCChEwRBSAQSOkEQhEQgoRMEQUgEEjpBEIREIKETBEFIBBI6QRCERCChEwRBSAQSOkEQhEQgoRMEQUgEEjpBEIREIKETBEFIBBI6QRCEJAD+B91tgyoBFR8OAAAAAElFTkSuQmCC)
physics-General
physics-
The monkey B shown in figure is holding on to the tail of the monkey A which is climbing up a rope. The masses of the monkeys A and B are 5 kg and 2 kg respectively. If A can tolerate a tension of 30 N in its tail, what force should it apply on the rope in order to carry the monkey B with it ? [Take
].
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)
The monkey B shown in figure is holding on to the tail of the monkey A which is climbing up a rope. The masses of the monkeys A and B are 5 kg and 2 kg respectively. If A can tolerate a tension of 30 N in its tail, what force should it apply on the rope in order to carry the monkey B with it ? [Take
].
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ4AAAEiCAMAAAA/JJvzAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///0JCQs7Ozvf37wAAAObe5mtra+bv76WlpUIZWq2c5kIZEHuc73NjpXucxYxjWqUQWqVjEBAZQjEpMaWUlEpSSt7W1hlrWnMxWnNjMUrvnEqtnKUxlKUxGaXvGUIp3kLvGaWtGUKtGe+cpXNa7xBarXMZ7xAZrXMxlBBrGXvvnHPvWhBr3hDvWnOtWhCtWnPvGRAp3hDvGXOtGRCtGXvv3t73xaXOWkrO3kJK3kLOWkqM3qWMWkKMWkrOnEqMnKXOGUII3kLOGaWMGUKMGc6cpXPOWhBK3hDOWnOMWhCMWnPOGRAI3hDOGXOMGRCMGTo6MRAZGa1jWqVjpaUxWqVjMRAZY2NaYyEpIaVjhFpSUq3v3oyUlO8Qpe8ZEM4Qpc4ZELW9tXNzeyEZGa2ttQgQCHuEhMXFvd73EO8Q5u9aEO/OEO+UEHMQKc4Q5s5aEM7OEM6UEHMQCAhKWmMQWmNjEIyEjO8xpe8ZMe9zpe8pY85zpc4pY84xpc4ZMe9Spe8IY85Spc4IY973lO/OtUJjKd73QqVrzkJrjKUpzkIpjKUQpaUQKXNrzhBrjHMpzhApjHMQpRBKKXvOrXvO7973a+/OlEJjCKVKzkJKjKUIzkIIjKUQhKUQCHNKzhBKjHMIzhAIjHMQhBBKCHvOjHvOznOllO/Oc+9z5u9ac+8x5u9aMe/OMe+15u+UMe+Uc3MxKRnv7xmt7xnvrRmtrc7Oc85z5s5ac8615s6UcxnO7xmM7xnOrRmMre/OUu9S5u9aUs4x5s5aMc7OMe+U5s6UMe+UUnMxCBnvzhmtzhnvjBmtjM7OUs5S5s5aUs6U5s6UUhnOzhmMzhnOjBmMjM7OnClKWoQQWoRjEK3vra3O763FlK2Uva3vjK3OzqVr76Xva0JjY0rv70Jr70Lva0JrrUqt76Wta0Kta6Up70IpraVK76XvSkrvzkJrzkLvSkJKrUqtzqWtSkKtSqUI70IIrUJCEHNahEIQOs7W70JCY62tjGNzUt73///v/wAAACzB69wAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAASjElEQVR4Xu1d3ZLjKg42mAD3tnkuuLKLyg3k7w143H6PZLKulYSdX/fsnN2J7art78zpOE5m/LVAQgghih/84Ac/+MEPfvCDH/zfgUdeBFPwUNCLKUwoyqAKc8YrvBd0sYErA/d4wXmhuCqUgb9ZFAr+wNXnYJw12u1DV6touXa6YEm1VgW7D65VyQW+i4X3hbQb3m0LJotkNxsberiqLedVXXyKYFko1vFg65PzSlZh30Uj2abuuKli6Zmpu5pbZiR86ZAUY6queNgdS1lxKb54ZQNjPLKPCRAexyutKmdiF/ihVd4q3e0Vk6puiuC2hvledydTSSW90kybzhdby7fdvmT+DPdA8MM/9vdxNsbGIgqdGO9BktGeTRc3LBa6C8Cp8N1ZV6cN0E0gTBE5a3poU2j7EoS5ha/bNPxbfx9lce5iEWzQYl9AE6bOmC5B7yqTq9VFlpGp4IC/VdCEyiXTAHGGEi9kW6bGnNhxE7+Gf+6vo7RWYeuCCCT0844XUhZbYAI3QB+2VoF0gdpXshzVgqfyi53OoA+JKeON6pKSn+t7/MC060Ij6ijkvrImuroWV+j42ovARb1huyCdOQmg2xRfqVDQGa6u0IdQ2GPhWRF3YF4+BMMOO3Fgh4NzYueE8zvXOVFVzrmDsNYxK7pKCN8J1ggLLx5eLkJIK/wFviDc9eBMOfxrfx8bY/jebODFhFSDphiuNYcXeK2DSYd0riWrYzL75BljXkfpma85Tw28xTtN/Khl/h1CdRquVolt9bmO9Yfo6Q/hrRPF7j/3q/EvzwFgMzyOXpKFH5nh9zz/82/wN/H4NKK3XsRquFghQIxbO2/L/UNoNlysE9oubli+BTCLdk6z8Y8R3XCxTsR1GxbZDRfrxHHd0tNsvZoLw66+rNos1yu2eyC4uG7VWDk9uWLNpcZd9aC2ZukB5IodKmjXNdMDxBXbPcCaPZb1m+WVa+5K7R4oBLkqWXrro4iMsO95ekdU14SBUMS49urI3XA8wo/1tS30vVoHXXe2DmsUX3muMMosxKHiw61VYbtr7D5GG5uPrVr8L9hWuPhYMM+CWd+4W0ZGPY4JaOFIt9aE/ipJZpGlXdesT3zRbvDFyxTrzHRV0JYWU6xndeiI6aqgLo0EVEFq7j63Yvtfg4nuWAtfKIULe2tD3UVVcEc2uW3o1npQnhu0JidHNrnNfssqoHDAVc0VHAHDRAPWTzGZP1gLDEOzorxnB2hdU22H+2sASMlb7HOJqVghTXbNn6wEoSONgO6XY8uercblw47HaJDVblNIWlPzqLn98l4f9f6+pgFjY2VZRAfeKIwgZ/xgHcBEKvQJHJCNAicb5+4XfbIwyKZwG7Gn9W2toHEF2hTeIeF1+PQ+rxUEe9KMa9/JxPcVNPE6tEML7G0m6IZzWyuzB28PU4CWFx5KjTsUnmEM7B24K7U/hhLz1PI3lobyHWitatkJrHKVij5omHJsupUMG6nDpg0u6T66E1hAttGdOWfVWB558K/FQZ46MCkqSh2cyY49acyiAF2Fn0oKVhxxODORGd2Ba0CfLgrUCE+jGbeiLmo0zkpuCx5rC/QW1dvccBSH70F7YcBQCaM/CNOJVWhGGKY8G1Lfe1+7iMU1A7j0EvMa4OIcwx65lfCf2nO9W8Xqgek80SiV1HH0AYztDtATlwYQ4xZtHuqAbvamCDRSlDywFdADaPJUCOge1zaRMBXrFvf2gMjgIxM4tnPdSGnA2PjFUkMfAf5JvkALx63sC7N3XWQ51rIwSvBSsnWDFgaCXBe6Y27HLPoua8AQSbkNDxutA99su6/NoiMGApUiOPAH3piEXerQT1iUIj28FhNxRlVtafgl9VkQ8PQ0YeE2uAOhWbr/ZdFEmmg8oWw7payG5l9WegjV2vA6I9t2G4y2LNv5RkT0Tp7klDoOw/HntrT8I5wPr4sY1ODRr0J4hbI023hAjQFc3n2tYB4OHl6H0ntsXb0D6XH3KtRlUNpXHj3D0cR/cMvNHwIJqOpNTA3SS7unzpe5zs84S+/puTQW/4Ie+ESwTJF+nfxuFkDn7+XbnJZhNsamejQtQEof5p8ggXwkmpAnOUVUXVWN88oM1Qgxd1YusHr0mQdEpBEo+HJH7bwHez0zwaLAvlc+mTiPjWvsPr8b0IpzvcQUqX4bHyK5qTk4NAKt9+nQDu/mAkjt6/DqtOR2ZU8qUwvoipX4mrV1UW7hwF+WMDSp6OVJT1thUxQUtp8X+i1Qqw/ArHzKJ1BOMGutmD+6QXr6BL0DreA5tQCY4R8uklK9mfBePwnUWOZRbR8p4iKRYo+CUszR5DcIXFadE7j99gW4KmnybAgBNLXLnY5X3auoPwzFkMfTQ1sQnBGPZk9RfA1w0jNKD/W1lO8eywWs8r2XZWavxnEuBLJ7j09P0Pf0sP/7gdsyBJV/9eYDDF4MJPjS5gshUWD5AdwFMC4ehTqznk6hPjwP/mCoT0XJGS7gY7R5YWwFrT/ecaQN2KqVqwhDxi4iv/u4e82BtaKmJaOlUbN+qNOQNaGXg1HpG69eXMEFYNhXoCX6DBNxCYtw/mDtkD+HTSdn76UQksh5Xnh5u1oQLCof2D2kd6xGqhMTkfkhpboEE++K6m9pLHwFzVt70+ii9OCVZO092+6Ur5Wde/L4jq/OSBBSQCagqECrFi5S/FH5vOy2JPY7XqOpa24TMXBGccUZpbd85zPg8oH3WZ7z8i42ah0x3wvorSFKGqUiFajZmC5/PgZqVY3pQEvjdFU1NmwpiRN2QcPIbZfL1z8B88H2mnjwXMQJmpeLCn8Oc4wl0QOrvd5Ru4bDwMe4Bgbb+rAGp6WX2gyrp3GYoakGRmHDJOrJ4vh1KcdUZXKuAImV4EevIAkSBLQ/mOP1X/ltm9Nc66o4u7AK4aH1VWPIx+RxrGxPOZNqDQwTK45jqsg5q2/bNWvQC4KqQri57pGaN1AO7koA7gq72TwKP9ZrySlAaKYkmBIaIxQRHeMEqwC3fMhMB1DY5etlerksouybCCMIKmpA6Rnqi+uwLCg+M5QpAkYRhhCQJ32wDoJK6t6D00fTWkzp5zi8LT7LvcGci9vy2hYss7F+TZ1PScMtuC3YmMaC5Lik/D5q8KVRwsBWF9C6BJy5AXTXrkU1oEWvxXacl51a4sdhhg4vKxAg5t9ynBRlpOyXGh9JfksTRBLSb6xUikKiphMkuNNuBWGMjChYJwS0L3INTFgNBHHlfvkOCEQMc2LLdm5cBW8Zjr2Y97AK46elrsy2Po7GT7capkhVnoMsjxRLvVGF9joaeEXPQNubriwO2sMJxgT6X2UxrfRsAyjKKgC9f1j+7pnXAjfDwkxt+ejZHTYHqDDcctU1jrdquLUK5H2bJSawGNWQVV5DEIMAtmObQ8o5ZnbJoXqJsW8Yj+nNslCVPJ2N0hTly/GzAiuq4+vSoIHCORvjjqZABqeRcHPIEV4cODJYW29Oubvp3eCLeqz0uaQEx2ebC841dJ5ipLFR9RrSIIFLaJCYsjmV5p4ZTKnXCzoFtAu2MBVthEjVkcR3vVu8p5SRpRBziOUaS8or3MpydFTCstpBspEHCt7WbqNo+yYu2A9Q9rK0+JKgfUN41oEidwCPqxjxK3fHpTiWoJ7ZBz2CzeN5peWhEB8lLC0mwB4ExiingXfAEqbfSOX44K2EBXf9AS1M4kdIHHVz+Kyox4ru0Og9pbosZVyGxRYQHgoJz4rAN4+5o/o11WUeUPsplkeIDRNM+pYN20tHXw+FRguTg52ZGUqKTsYAc4wG2PmmtZaX57p2LuYmR3jxtUDj4q5cmO0k2VXWxSFapqJlnXNeS1wpygoSXjOF5kEpczCgD2P0BxFkokJe+u7t+UVGtrDLWoEwp8zg4VyjcHPmMa9qdvTxppImVvZCCwY+vxJuea+LrNqbA8UAoNMrL46c2XOpq6O+3tJDMNOQ0OeV6Hlxnylq8QtoNo2xOLy144h2K+KK5yLlqzkRc8IvtZ06gWHupDLmXofqXoZULmGZLabCA3poZSxkUwPda6VG6T1sV1tiyrt1PnczTFO2mAsMHosT6prjGby5e3rlzIXHYC5xBrubHGs1iCn0LKft8d2Bt6CmKkT2mDc/a7lZei75dF5ACypwAGpJo4ZKSaOWyry/IA9l8EmcO+HbYMNqV9Wnr6JFFVZcKRxnMc0B2lo0+9N90TTXWJoR20MojljJs2tLbttzcXQei40ph36fxyKfY9YryFBifa/ZAC3lLyA72zqBYYsIhm8PhHD/QRRACmtU+nhfuJo7ISjYgIcLcivYGVtaF2WgsB7QNEUNXS8dHxjNXYmZXGDeOivdFQ/5u9u1BGPFVoAiPxYgnZse5oEoX237gHWKQDMNlwYjZxThA/OH634DoMXnpdcXlNioVPHFarQo3DLO2tZJI3G3i96BagDd24puOyc9aE3amIvLUoIxXP/hFeOywYENLEgSLkl2H9PA9aM9CPOhzakW3rHIHI5iZ+aDMpIGV082md/0FuMIw9VMGFzhE1dF6MixMm0D5iThQPESliqhT96pzgPM9qGexavR1zQp5bHheY8fYtaJGtJRFjMc4dW/V2+v37Ymzg88kBPkl1v5ZefIUPZuAOnvnPKjZ9FxpODRPz+YRLmKMmi6O+ZSwe+SwXRIvDunzN5Qi+RzTOUZoKo5ZvvWK+dFxLF1CFU8oafNk4vKDkHe0xSGFY6Fwe/bDR8AUhsCA6/ymxD0B1FKrJw92cPkN6vNcBc/+DxPYKUqHB9eRUR0Kd/wjcRw4/PkiFSOWryC6O7ddFRqBmYDyqKnHvYqPeJgsJrHd9KbCaPbNwGFu4cmoCQeo3sMHycKD+ixms03tjdeJ4RVFhuYwnlfoS898fnfxW+kB3PH4eIZRqBfz4egx4dB9N77HuKbYxGNIL8eazB9VHa4ovxequiOqckZEOICw3+5HO3Hx2SMz36TYEuHDL0LyIjDVUomcAIwLfa/iBzdnnwMnw7Hc3G4gOqKMe78MaDQ5O7bLS2nLkz1LrPDuJ/StJ3ok0CZJfHtikWaPshCXXLpCZnPM/ks+AHpTT7oG8OyybWhuG0nu+ZfA3ACr1h8ffcQovfSgPBNLlxMdeo+OpkbtTUNawfv2Fi0e+9y3bDOWutc+lzXu4lL4VbSt+cQJ1NNR31KZZQyAX+rD3c+rvLSxdtjkDCfPCji4atw+TEBgvx0U0X/TRoDPBqjkFN4pPQ58ZWJeRn0AQa1aRposCcyRIZwwuc6HgAeGg9bpTYbSaoxIYXfluBD0vB3Pic846KxrvVusnXh8XrRs6N8ExiuKycs0//aUigV7bCM4ULgrh52zZ86Bj4L3XxG8DZt3vveLDj6GgZ2YrWfWAvN9UXqh1oZs4H0sdG42ysjDVUcBhHCeIJX+L9m8CW4mFuEyet7EQyOKV4jhZFJ7o6Bzd3/6PmxHTL4CcG1j/LBRP5BkoXEZYSP2rgJKJm6c2ZAP3+xx8o1X3k9iD4Bv+CR+TwINltjAtJQ1a2QnCr4bli7RWIcM3FGWc4AfFQ4vOpkwk1CmRCYbFaN9R1wQjR7nG//Volfba2801AMl4zygLvpvgmkfQbYzxOFbJ9hGjt0RwCv7G0K8lZH66NAClK8tBg17GOwqhYU+kafWs/duoqJqUO16odao8q6cQFr6/jMlsUKNMS3pgSQ+B6XgrTlOXe5HAs9zAQYaq24PHIbwTGleqhBbuwpn/U7f2HtnlEM7B1j5SRszGOKtIyqZj+2sWQOa4W82gsglcggk79+qhxNhfZzty2YWkH1Mt/R13cfgOUFGTbm+M2HOO2oY3+UFRoUJL8lelSZfGZcBQaZprQDvAU0L/gRbf031axjRn5y+k1pZ8WGsCftdT4ukfV4sjkNYxIbN3yIRzRREsQ30dOPAB/Fu995mcHlvEJ5eVmznwt9i3kqk30PkQ8fRCc/n+0zK4bOl9+8A2RKAwV8rRsjp9/+Ih/CyX23yoxMekyjAnRLncbJu7w/6RvgGRugw7OPtjf4700LyG84K8wvdoyFnvCXCUQ6Z6v394p8cwNaF+Y+FMbA7cGvUrqQ5vxmOfDTwOTQ4XICNNIusgtiRMyHv4c4taZWUgradkF6MOFw0jMxbWESngdL1SqXQrC2dkIcUXRvGqqx6U3nv5bRXeTE45F9V1UiZ83pBrfDTsS/54F5zEx+gsnL0CpiBdIVQmPhCcB+d10nv10+P4Uf1nF63iuMP1AlID11rtkaoBvym/MBxSuEYZiubNwiOyT/AEo6beRY4mF9KC/CLbvz/3ugRig/+9rBP0K5zLD2gx/84Ac/+MEDiuLfDL6mJhXxrTYAAAAASUVORK5CYII=)
physics-General
chemistry-
The end product (b) in the following sequence of reactions is ![](data:image/png;base64,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)
The end product (b) in the following sequence of reactions is ![](data:image/png;base64,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)
chemistry-General
chemistry-
Arrange the following compounds in order of increasing dipole moment: Toluene (I),m-dichlorobenzene (II), O-dichlorobenzene (III), p-dichlorobenzene (IV)
Arrange the following compounds in order of increasing dipole moment: Toluene (I),m-dichlorobenzene (II), O-dichlorobenzene (III), p-dichlorobenzene (IV)
chemistry-General
chemistry-
Silver benzoate reacts with bromine to form
Silver benzoate reacts with bromine to form
chemistry-General
chemistry-
The reaction of 4-bromobenzyl chloride with NaCN in ethanol leads to
The reaction of 4-bromobenzyl chloride with NaCN in ethanol leads to
chemistry-General
chemistry-
The starting substance for the preparation of iodoform is any one of the following, except.
The starting substance for the preparation of iodoform is any one of the following, except.
chemistry-General