Physics-
General
Easy
Question
An object is dropped from rest. Its
-
graph is
The correct answer is: ![](data:image/png;base64,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)
Using
![V equals u plus a t](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEgAAAANCAYAAAAKeCiYAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAZFJREFUeNpjYECAw0BswIAdmALxBYYRDuYDcTgOub1A7DICwkAFiI/ikowH4j4s4rZAvH+Qeug/lc0LAuKluCRBAbEOi/hxINajgefqgbicBHFKA4gJiBuB+CUQ/4IWGfJo9v5HwhhuYAHid2hiHvhCFM1AXBgXWAXEASSIUxpAW4B4EhALQgMLmz0E7b4BxBxI/DNooUxNcAuIpUkQpySAIqGeRwYLgdgLi//x+nc5kqZQIO6hUeCAYvAbCeKUplhQGWqJJnYQLTAI2Q0GJUCcAWWfBGJhImKQHAeb4yj4zUmsEIhNQd+gAYAcGF+w2H2QkEE+0KQHqtGqaVj7REKbFdhq0vk0CKDXaHxrID6HxU0LCRkkDK21jqKVRdQGE4A4D0tj9DkQJ9MggJ6i+acWiNdgcVMOMYZ9AOI0Grdf6qGxBUrqolD+FGgzw4sGAdQMxDOh9slDa+ZtaGpA9s8lxrBWOjTwQFXtDmh75CA0azNAmxm0SrnV0JqsFmrHS7QqXQua0kCBzsYwCsAplyAAAO4ecBkyXGnlAAAAe3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5WPC9taT48bW8+PTwvbW8+PG1pPnU8L21pPjxtbz4rPC9tbz48bWk+YTwvbWk+PG1pPnQ8L21pPjwvbWF0aD7MPtrqAAAAAElFTkSuQmCC)
(i)
Comparing with ![y equals m x plus c](data:image/png;base64,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)
Equation (i) represents a straight line passing through origin inclined
-axis (slope -
)
Related Questions to study
physics-
In circuit shown below, the resistances are given in ohm and the battery is assumed ideal with emf equal to 3V. The voltage across the resistance
is
![](data:image/png;base64,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)
In circuit shown below, the resistances are given in ohm and the battery is assumed ideal with emf equal to 3V. The voltage across the resistance
is
![](data:image/png;base64,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)
physics-General
physics-
The resistance across
in the figure below will be
![](data:image/png;base64,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)
The resistance across
in the figure below will be
![](data:image/png;base64,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)
physics-General
physics-
Five equal resistances, each of resistance
are connected as shown in figure below. A bettery of
volt is connected between
The current flowing in
will be
![](data:image/png;base64,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)
Five equal resistances, each of resistance
are connected as shown in figure below. A bettery of
volt is connected between
The current flowing in
will be
![](data:image/png;base64,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)
physics-General
Maths-
If
, then the period of f(x) is
If
, then the period of f(x) is
Maths-General
physics-
The plot represents the flow of current through a wire at three different times.
![](data:image/png;base64,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)
The ratio of charges flowing through the wire at different times is
The plot represents the flow of current through a wire at three different times.
![](data:image/png;base64,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)
The ratio of charges flowing through the wire at different times is
physics-General
physics-
Consider a thin square sheet of side
and thickness
made of a material of resistivity
The resistance between two opposite faces, shown by the shaded areas in the figure is
![](data:image/png;base64,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)
Consider a thin square sheet of side
and thickness
made of a material of resistivity
The resistance between two opposite faces, shown by the shaded areas in the figure is
![](data:image/png;base64,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)
physics-General
physics-
The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane
long (angle of inclination is
) is
![](data:image/png;base64,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)
The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane
long (angle of inclination is
) is
![](data:image/png;base64,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)
physics-General
Physics-
A particle starts from rest. Its acceleration
versus time
is as shown in the figure. The maximum speed of the particle will be
![](data:image/png;base64,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)
A particle starts from rest. Its acceleration
versus time
is as shown in the figure. The maximum speed of the particle will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASkAAACrCAMAAAANSJrXAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAALfUExURf////T09OPj4/v7+/f39/z8/P7+/rCwsF5eXtPT01hYWCkpKWtra66urkVFReTk5FlZWRMTE6mpqcLCwisrK0FBQbi4uKenp1ZWVhsbGwwMDOLi4rKysgAAAEpKSuvr6yAgIMHBwb+/vycnJ0NDQ/Ly8uXl5WRkZBYWFq+vr/39/aKiohgYGH19fdXV1SMjI/j4+A8PD0hISGNjY7q6ura2tp2dnebm5h0dHUxMTCIiIgoKCrGxsfHx8TMzM4SEhJ+fny0tLaWlpTo6Ojs7O+fn5z8/P9/f39HR0SYmJnx8fIeHhzIyMm9vb/Pz805OTtbW1gUFBTw8PMXFxaysrKioqDExMerq6vDw8JiYmFVVVYiIiHR0dOnp6ezs7PX19YyMjI2NjXNzc729vV9fX+Hh4WFhYTU1NZeXl7e3t4ODg5ycnAQEBGxsbPn5+UdHR5qamqurq+7u7s3NzZmZmZWVlTk5Odvb25ubm09PT8vLy8/Pz4mJicnJycfHxyUlJby8vBUVFfr6+i4uLhkZGRISEtDQ0ElJSeDg4B8fH9ra2mhoaMjIyHV1dbS0tAcHB9zc3MPDw35+fqCgoO3t7d7e3j4+PlNTU9fX156entTU1O/v79jY2GJiYhQUFE1NTRwcHJOTk3Z2djQ0NKampq2trXFxcYGBgURERFFRURoaGmVlZbOzsygoKMTExLW1tVdXV1BQUDY2NqSkpMzMzCQkJD09PQkJCQICAkZGRt3d3dnZ2TAwMB4eHoKCglxcXC8vLxAQEKGhoXp6esDAwCwsLM7Oznt7e1paWg0NDZKSkrm5udLS0nd3dxcXF2BgYICAgHJycvb29ru7u3h4eAgICFtbW4uLi6qqqoWFhY+Pj0tLS76+vkJCQkBAQMbGxsrKyjc3Nzg4OFJSUl1dXW5uboaGhoqKihEREXl5eQMDA+jo6GlpaVRUVKOjo3BwcGdnZ2pqan9/f5aWlgAAAGEZSz8AAAD1dFJOU/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8Awu13zwAAAAlwSFlzAAAXEQAAFxEByibzPwAABshJREFUeF7tnc2R4yAQRpUIiXAgEMiCIiiqdOVEDjpxIQTC2G5AlvwnI1seb4l+szUr2VNb668eLeQB9/BdtK4HxAuirAfEGi85H6Pw9RTQMsV6SCwEbkOUKa0GXGTM1kPigpY8QFxCLEnpkTGS6g6TFHz3fCqnSEyMpLpnTKDUEJgppwBUKclHRlJdo20u5RN35RwwPEahR1FPiUJJyvOloPtJDVFAsSKprrHcD16sypKDhCKHDCNNP68wSarJprGeQkIQEDgFB+WcqGhlrdHTUqYQdIpoITtFNEBOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJObRKlnJdMkVNb+FGOoq7DI6ce4U1ZDOvDMAhcRwyQU48wbFmPZ+sK4o6cMnPFccoYXEb9FC/sZR+IsXVpXjdOOcVYicdZLnhecf4MlS4r0b2dlwt34pQOPKWU7XDc6sHz1WLzWzz+RMEt66o7cUorG6aS1IR7YobI6lYP77UPAQabC67mM+EGGR2Cg2Eo4bnysOGrnVnnZsxJaZE3MIR5DfVojeTJ+sh5HXOBw1N65FyYKDjnU05IK7YUr3Oji1NQrdERx+tgkozHQTHIT8uUoxhBKQjK6SD1gF8F3Lb2fMSeiTkpDq8fAysFWgvcNmQYiKaLdA6VchyfnkPKRMZ7saoEUWcAXhSnQg5OYdUCjzAaKaCOebtc/ipRONGHVVUZKNLZKVt2xcS8E03ilbDYFlIu9UGw+TamArOE0IlVZfTViu5qRZ9wYlViczkjW6cPPqbriQTOEhxn4urBU1KdAn9wlmDqNkeLr9wl3LcecXIQWL3NqyEu5JknqNbBAKzzKZgfwMxT5JoEhsEJ6IJlCp/XObnBQFxalh+ZKTPP00eljbWJCavgxRtu4X6m+BLyBHTCYuUtJGPKBlonrRU3idS7GaxVp44qTEoZpfJNMh7XF+sNHjiDpStASKWIwSPLj8zMdzO9XAG3URt7si93yKe3qgGXLrfG9yx3yH2U9U3czTbRK1bvulBUm6zfdaGotlg5RbVqk7VTdAXc4sopsmqDa6fIqufcOEVWPeXWqWxVB+8s7OfOKbLqCfdOkVWPeeAUTUEf8sgpsuoRD50iqx7w2Cmy6p4nTpFVdzxziqy65alTZNUNz50iq67ZcCpbRVHNbDlFVq3ZdIpq1Yptp8iqhRdOUVQXXjlFUc28dIqiqrx2iqIqNDhFUWVanKKokCanKCqgzakS1dWyx+5odCpH1fdsvdUpsqrZqe5rVbtTvUe1w6nOo9rjVN+1apdTXVu1z6meo9rpVMdR7XWq31q126lurdrv1DD4Lq16w6lOrXrHqT6tesupLq16z6kerXrTqQ6tetep/qx626nurHrfKYjK9mTVB051ZtUnTmWr8ida9MBHTnVl1WdO9VSrPnSqI6s+daqfWvWxU91Y9blTMFvvwqoDnCpWnT6qI5zKVp0+qkOc6sKqY5zqoVYd5FSeLJzbqqOcOv+86jCnTm/VcU6dvVYd6NTJrTrSqXNbdahTp7bqWKfOfAU82KkTW3W0U+etVYc7ddoBeLxTB1rlawMTxP/6w+6/4NRxtcrmRgIZL5fj3/ANpw6wSudP506Xz78fBoOfiP9LvuIURCV2RXWrixP4Ae/j+u15XzpR/I7vOLXXqoCfhX9BD5EZeGDueFa644w/bsvxJad2RqVNlqjiRGKcT7m7AjynOMeQbhpQ/DnfcipHJdstUIlPs1c62hSCr5Vp4iZMEqvWba+cv+VrTkFU0x4JDEtizkpb7GpSenkE7HCi4cilqyH65wRmAYF/jv6yoh41fIP/AwNE0aa0zRnz6HVzpz2P3U9+iDfqa+z6p6fEGB9LKKUnoyw9h3Bc4iiG+H6a1H/DxMSli8KUNSotCaFqjbngeU5JAX4US1XzNl9mVOk5BFg8cj+u6P8H2oyr6u9Kbz2D0QR8XGLjykhJAdiheUFLpjCkBNdCI5WSWOj1+OP51H8JtqWCmpTn6AauizmiuRETcU8t6QWYTtUj4g642tWjPFmY6/s50e4yZPzcbridsTTYRfT42xn6t/EwFSpH2vPahZF4gOKpJgVXLkZJPcULGUuf5iFytWobT9ygtXa8NNPVvkwkiWd4UZICIo2+LWanAHJqE1frFGBo6riF43WWQE69YOUU1alN1nWKktpCr659NPqe4tUkWZrwTd8wTZbZKfeyJu7wk5WjlDJCUvAXUH+jQBAEQRDE5wzDPw6B8qrVRr2aAAAAAElFTkSuQmCC)
Physics-General
physics-
graph for a particle is as shown. The distance travelled in the first
is
![](data:image/png;base64,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)
graph for a particle is as shown. The distance travelled in the first
is
![](data:image/png;base64,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)
physics-General
Maths-
Period of
is
Period of
is
Maths-General
physics-
A particle starts from rest at
and undergoes an acceleration a in
with time
in seconds which is as shown
![](data:image/png;base64,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)
Which one of the following plot represents velocity
in
versus time
in seconds
A particle starts from rest at
and undergoes an acceleration a in
with time
in seconds which is as shown
![](data:image/png;base64,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)
Which one of the following plot represents velocity
in
versus time
in seconds
physics-General
Maths-
Period of
is
Period of
is
Maths-General
physics-
Two inclined planes are located as shown in figure. A particle is projected from the foot of one frictionless plane along its line with a velocity just sufficient to carry it to top after which the particle slides down the other frictionless inclined plane. The total time it will take to reach the point
is
![](data:image/png;base64,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)
Two inclined planes are located as shown in figure. A particle is projected from the foot of one frictionless plane along its line with a velocity just sufficient to carry it to top after which the particle slides down the other frictionless inclined plane. The total time it will take to reach the point
is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARUAAACsCAMAAABigsjZAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAALrUExURf////7+/v39/fX19e7u7vn5+erq6uTk5O/v7/v7+/z8/OLi4sfHx9PT0/Pz8/r6+vDw8PLy8r6+vmRkZHd3d8nJyfb29uPj4+jo6Ofn54yMjA4ODhcXF5mZmebm5uvr6/Hx8aSkpEhISCoqKjc3N2BgYK+vr+np6fj4+O3t7cXFxXBwcDo6OlRUVHJyckNDQ9TU1Nzc3GVlZYCAgGFhYYaGhoSEhFtbW4KCguzs7PT09N/f31FRUbu7u11dXczMzFBQUKamprW1tU5OTuDg4Le3t39/f87Oznl5eVVVVby8vPf398LCwrOzs1paWn5+fsrKyq6urlhYWIGBgYqKiktLS6mpqZ+fn5WVlZeXl1NTU4uLi9vb29fX11ZWVqGhoVxcXGtra+Xl5eHh4dHR0V9fX8TExNXV1cDAwHR0dNnZ2Y6OjpiYmKCgoK2trXt7e7m5uW1tbWpqatLS0k9PT6urq0xMTIiIiI2NjXZ2dr29vWZmZtjY2H19faOjo1JSUtra2pKSkqysrLCwsHFxcbq6unp6eklJSYODg9bW1oWFhaWlpd3d3cHBwVdXV2xsbMbGxmdnZ8/Pz6Kiopqamqenp6qqqllZWbKyssjIyLGxsYeHh5SUlN7e3tDQ0M3NzW5ubk1NTXNzc7i4uKioqJGRkZ6enpOTk3h4eJaWlpycnGJiYmlpaZCQkLS0tHV1dcvLy2NjY2hoaI+Pj0pKSp2dnW9vb15eXsPDw3x8fJubm7a2tkdHRy8vLzIyMisrKzMzMzg4OBwcHDs7Ozw8PDQ0NEVFRTExMUBAQEFBQTU1NRQUFDk5OURERBERESMjIyQkJEZGRhgYGL+/vy0tLQ8PDwcHByAgICYmJj09PScnJzY2NhYWFomJiT4+PikpKT8/Py4uLiwsLCUlJSgoKBkZGQYGBg0NDR4eHh8fH0JCQgwMDAoKCggICBMTExAQEDAwMAsLCx0dHRUVFRsbGxoaGgkJCSIiIgAAAG4vEu0AAAD5dFJOU///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////APmzeUYAAAAJcEhZcwAAFxEAABcRAcom8z8AABNYSURBVHhe7V3Neaw6DL0LSmBLKXysqYgFLbCeeqYBpoy0wPadox9bNkxyk5fkzt8JgyVZGFsjy8bA5M8LL7zwwgtPgsbSFwKa5WWWHZZ+eZlF0WQ79PM8vKxC5E7TNNPbpQtGemI0TbMYdVrP5/H06kO0CXdC9vN5bNf2FVrUIGqapZ2neZrG9umtYp2HZlm6tevHdpievg+JkxjRr9PSj9OwtGPv4udEaj2MMs/9nxN8pZHdE5sl9JRlWtFx+hkGWU5r98R9KPUfUNM4LY25ydCOzztryUbBoDzOC6ZzjLYYmJdxftrQEjxlQFBZYI4Tom0DAtZZbGr3ZAjOsEzsMrAKrNHTKuhQCC1P6C0+zScFF4Epgq8wtDxjHwqR9g+CiniIxxWlnjG05BarX6gt3FcQcE+Y1D2bVcpBGTFEreJxhWbpni60RKNgjmJ2CL5CPFsfijOVYZwHc5UQVwCGlmea+UdPwbXgKXlHHoOE62S+a6oPj9BSLh/QAmqIEFcEcm1kmo+OMqiEQBLjihqpfZrQUgQVH5TNFLhmjr7CNZcnCS3BKNJFHLBG5ToQdev0FFaJ/UfCqbRekcagLEQwfoKIGy5/OPRKyxNqX6GdeN/s0a1SBJV5DoOy7KoxCIChHn69MhqFgzItEKwgvsJUpZrz+MNzMErsLZLQFIwrJnM0vBXy0M4SI20/j7UBkq8UUFM9rlmK/oOZinWRDPMVFdN3ZFt4/fi4ZgmesnBQtranT/AVYQ1yrfSwoSW6iq7p1zgYgxTobQ9qljhTGXxNMgB8jMAC0iJ/1FlLMVPBaOuNZ6O1+dgXvpIIkLy0fkSzBKPILVO2VVocAKuor9Q5jzo8x0FZ+oM1VxODjEFOF6n2uUczS3z4DbFzH1JFUMWVwjD9+nDDczFT8TV9azSS1PzdGJQYHcsfyiyx+3BOVjTcQevYfOUwf+G96Me0Ctf0szvQEEYKJK6oJGRZisyHGp6jqwy2pu9NJhJ9eB0kkEMwPD+QWYKn5DX9CmIZ85VsMVCR6R5nUQGekl0FzuDtLBPBFV9xFXnMJfTGu0Z4JGPgBQ3bJ61MqSTYxTGIrFIBDxNa4uWPXvxaCw+Q5iu1jplIhudHcJbQBq7px0HZSEmUlrgilAPycASYlqHl7s0Sgwqnp4aiqQnJV66CY9j996HCKK2t6Yd2Bx77GFeEz2RKxHD3bZZoFF2sl+YJAum4GleyhMXc+aJCEVTQYmlbaHFgJdnHFcrDAYA+2/EYVpEbhSlklO3MfIwrtU6W8DmgOzZL0X/mkc8ZZ+xbDVmMK0SmIyXPjN2rWcqgkh4JjKDEpUjdVyrFxCrBwu52eK6CSqtt0jY7WaGMK5q/1+LwvN7rzL8IKryAsTbtgRyzgK/b7ozhbNK709uJ0VXimr4hsVG+iytlrqWEPKN8f2YpggofKN4DrawaLXFFSZPoPqoJI2v+9xdwy6BSrOnXrQzQnmHMEVLefS4qBFdZllGfPrjSXIg9x33lQLcWQHW+tz5U9B++/GNtSQimUAinY5BmcO8fg5GWf3dr/rH/MDCmloUmEmALic9XKgRJzJRnPew094BglDysWIOQxKZlMEN85RjFQWR0uL8bs8BTvK7Nkl/+uQqawyj3FfukHN0rEt1weL4bbymCijxMYE2p2kY2isDt5isVqjw+b3gn3lIGFZ/pF7jW8DwGBSTlfBQpfPTm0r1YxQj2H1z0a0MMbIuRDueZpfMVVar1DIVYXy66fbvEoILvMj1nvG9jaHhKK1/Jx7pGCZ0134dVEiVXKxHHbRNIlvlKROZIqZZ+NJFlz1s3y1FQsRboTlMnMyE4jCvvAjP/O3jxORil6Y8G5SN7ZJn7Cj66iVQTRcEAeshNm6UIKh/dKPQWhrZf9RXR8bKQOknc/sw/GkVqazWvW1LD8uSLj4r5sN3RngXrzzcdWoqgIg206ju0Jd4eFUSkuS1zqjzha5lAh2c78e2huNEuUdDqfdiYg1arryjD3iikQDjli+PIwJY3/CBhdhXMVI6WD45QttF9pRm60d0GOwxn84h+4ihLvunbidEovBuc6uwJKW+PpM54ZvCVbj2f1za9FXIaz+C7cEg+CMntrldmozCo5DXJHWp5bKj6Cq8pESqms70B0SzrpVuG9SwWM5FBuZsdngtXaVe9UegtSI0QuLSWu6/ACme6CfcCGAQ9hIXqAelYOx5fgzyjfGt2QY2CUQ5vFEKwkwVII3W+0izbSq49WzHDmVaZV+1dyJFgTEXuBYxjt+csuUrl8oGnjsArKXuT0lcwHW6WMzpL00x6GQXBfBmHodVS8Zm6fqJXneY5mZ/3sW/MLoWnxOeMHSVf5SY2jUHrZUJB7dmHoX69zK3fUxra7Ty1523up/UiXRVKt/gKUfCUuKZfJgbl9lkgU1zpLlvXwxQ+O25O25s9E8QY8rZNw4DcoZm3pHJrrxCVQcXWJB1OIg1SQc17XAHaDf5w9mi7DF07b4gyitN5wwxxxLjUTGdfetDbtrdlFiNAIah4PWX/MURPdzLCCnfqumkdRcy4sg5Dt8nAxG2lVWa1Sr4tKe/S34xVwhcka/o+UgBeYU2MwI5pEgJGZ1/BtQMGZp/N9tsZJ2k5jSMwJME+5isjJVquPKN5K2YJ/UdGyKK9NXZ5UZB9hXN8DRkofTlt56H54xfhzUBf+UNf+UOreAk2I7gJd0EtklFkUJZKsjlWVSWSIKKQUMN9pT9N66ae0SO2DOM2nfpRnyHDNdK2dUN/fpuHYX6z+aLidm4nBqPYGPIXKI3kpPlKs4zb1sqQg2tvzN2aft62zS8PMTa9nU/jBSNRu71ddMFPitCfGbgBswSH9Zd/UnMTESiSgUu0pMlXEGt99ekkthi6rvNYOyD3hN0JgzdJZOvR2NDLbsEsof/IvTxryxW8m4nsHFfQGxVKUJAlDU4mEoDnTeC84AYW5litROU1SewrwpMAz8s5MqwfqO6PvQZd80+rX/8G2SgclO3lnz2sVbFxZUPJ4ZN85a+QFIVwTp9R/pfeEj3FBgCrGxFpB2S6HSLPV5Keq9aCMsmwVfSbsQpr4zXLtXViV31FVAV5xVdq0V5FJdzbHZd/Z5bCKGjQUXWvAqpB21qlvlKW8k6ZklXnM7T8wzX/GFT0IsTqpSDn1S7SHVTK7L+JK1fzPUNi9r8KLdEo8ktdVqsPWoVs3Q5wEFcUiTVJQSXaoYsKVrdfRug/9gK2VSpW+gNUike+8k5BRZYxTGzN/1/YJQYVLoSlOiVIBU3maUDmU+ZhXPmQz2yiZDnwH1il7D9hUK6qTAQRyQMNAuLSV97RTbhWFpeOf99bqqDydzcKs45R9UESJ5WSfQb4tBkfQbbIaVouKlgNfw2x/8jNGKmK7AEQVs8k2kOzCp3jMagWGO9H7vRVIu77u3YpjXLUlALeACUPYNIirnB/rH0N0E4HINRxeLZa/g6q/pPvixc1U1QsQMmh9Op8pZYd8DvRbz+jDE9JrrI08kCA1ENqoziq5k5Ua7ivxJxE6eHVIXuJCijXnw37PbOE51ToqUe/Eqi4VukI0xFx9JUkTIlDVXfiGpz5/6JZYlBpBnv5J9U17RPAlpKdwJF85VOwsrTUUDBsjFmUVfXHEYKKziILHLfXUGaWjQDcV6JUae6FyrsCpcQ4WQb7ndASfBInjy//hKqByoxgJ9kpM4m+Uqrv4IcodwW/NjyH/pPjwHH1VLrLONA05LhiOpqkA2JWQCXJB+l65S+YJZwDJ+Xb1lIHh9RFyYAgUTILCuU8t61RlVmxIkhbgAzPv2IVI0DVvx3yacRjSZuvmLhMNHUGAEkuSAKS9DfWK+Epfgact5ttTVLqgF2qS6QFKgiyTAb5bgwKB2QcCiNMQQuef/4Z5WCUg5d/DKHWWrEgAJKgFBNX49TugJhbK5f4+TX/wij606NWn1StUL93qurIKkLBKrv5SlVKwUYGtG4KJ+wu1c9axQjpP6MPyqkqH+N91TwGKaL2Thz3BbJIqZ99RrkIKnrxFYAaeHUCqVBBkGUuZLFQGYMsy5HZKuM6giLvfv/kjweEkvGt8lRyVjm3o643+FqUBfucOF/xVJBVjcoCkrqljyATLPWnprhlUCl+OyRTgDFICrFgLynw7nVQOFbJwzMU8Gz+F6IfMkv2FJwB56lq5aSm7G0hM+BYqvIqrji1l3yASk0f6/yJPsRWOim1tzNqFbQash/wx1lvq9+65epmMMY+xhHuK85HKqESpWN9467+Rn7qdmIwCpcP6h8k6s3zT1M3IeLjUmA7Q1RV7iNEX/FDNeW+KiyzqFFKQTVL36MUO0QTKfjbvSWUiOlbVz5nzAndxrk/zLWOYzc009rDMP58rMOOOYQWdPU6yGHns6K8QDtmIJB28+7pcNToB6a40Si7QRnnvFy4zDJ0XY/viVfwvF7VR2H9owClzD4LtPuKCT0v6tRAHh/hBzGs23ZuUZlxmlb5L9gR328WeIqXR6Psqn6aNvoKhuueGujGM3tR8V/HTFtRMMZhH8egUkXYSqRolu5t4yR7OM1t2+LLwcmHllPMVC733/+7JMEoOAe6h5yIkMoOU8eHX+G653WSm4jz1v+BVWA8rZOhYCIsw3wlqoGui3CeKT79/MYn25u+W6Sm/dzKIxKiprrYN0u7fe/txCKo7J4zbtBvNK4g3mybPAg8nedu4vcmCppUkJpWedV85fhAIufgpHzeHwJ0EQnv/TiraUxDwKVURLzQkv+NwigclO2EmjQ9/GPc1FTDdIZ96DWXYu0FlGkHWhHoMAZFDeXwiUKn++kkb54N82WbTzx6PPfoTfGrkwfpO3y+cb0yBpVlWO11Aj8njMK+LNGWzm9vYfSnOty9CxzBbTe39bMcQo5oe3msH2fs2vOZw8Bp3UYbD7RYBjo+uiFr/t9kleB1OEV74U9AyikJUB3qNYyXtADVbrwWwFGixV2hfoAkLccgF8eDQOumQIjla5qMtjjjcDqf6aAIu/a6lYL3rORL+771yuApOFG3znK3X09HYF7StvP5AqmgOV3i89kBUQZatwJ7XzEc6AoaGEXex5PcBhciK3hqB3WU6pPOb3vaJ/Yf3tKmGeKsdZhmYHtb+Yw5VPCF5OvGXLcoylIgMuIr72RbCoAkh57RcVqAyKZSDH7F4QCmCL48xqHpO24nsiMkkjEL5Q/daqsgqQLoQXRRfs/9VHiv1kbJa9CSuNFXRDmJ3gP6ynrZtgvfc1Ddpt3Cya0Ef42Y+KZXiKJR5MfwtTLFxSE2RltM4k6cSnm9LImoRRWvvrJHVAOd2aHvTyd5MQYMxZOMBYV+qBEyvmO9MngbCpYSrez8bq5gZpjjjxm0nTtzhSTQEvYKQPaVAOVlvztGXFnjyoCrv6Vt3S2Sqqxmk7DdNwzP8ekDlJ/dwKdyxmNYRDwYTu2EGYPLBFHpCMjL2clXjo6IsuKo/ryhoR2+EU74g5po1U+n6aLC/zFLDCoaqaxoLhXI1J503mtMSwiMZe9lCpCSGXxFRcYk1Dwl2s5u3daDn+CzG+FZjnPAz/+HVar+o/84WE+Q120LJMk+KwCZx/n0lYNSK+3E1ZopJDFDMvlVpgKRCslnlL8ecYNRUAqDSkCxnODnLaDVypkHSrVIfIWpsorEHBSg0AxUV9KI5rTtnu7UkfrL3pKPRM+w3wOXU3DHsIWh3yQiMARZQhBU+qpNhonPbfdwqaVUdiJAuCzCNaE/HuBCpnLT84tmCd0HRUno1oIN4T+8XEN5wJ6v4b4imrodYC/dSexYeaB/l21v0lrjPgm6JP0F4KBc/zu+hj/87CfMSdLK6koVfC0yHMxthUuS6ghhj2QCTrBkjUEBwmjxc2nep8ESpCDugl9o4cy1W6r85KTGFXEFaElRR/MVhWkYdjrHBy0zf8flCPK0j7X0s8Bx8jqoRvLyzOBGXoodAEKRh0wlPUNwJCrmtpTnvAQXSRryg7omcvEMI4cMQChzyq/aRYJK/icDuXCgoR8qVSR/g2NVVFZ9JWZ/WOpVBXmYv0BWlVeI/odVOCjHl38S9BkIYwxg9xITpYysEXVB8yv0QBCznKOKEJqUKgpX4a7h4n9Wiur68OeXzYIC5FdwrDQ7q7DMUEnaZwS9EjtRUMtjkCCJwx5IBCEMd4VUoOOBEEWuHiJ3+r5oFo4/82pGiUUTnGpnWcitFYGjEnZHSHcHucs4wFFGJWuuBT6R4lwgrJ2fAkOVXV6VxYPjcovay7P2aoBoGmEQUS0UaTVfSdmamtClxiaRE2kb1lGJIkMBQq5wv2AWegoqiiKkQPszDgTXeIyTJJMi1j/dco6SolwLzVeM4yZ0UnNKds46iZ0SeRtHtmCnrOyXFxVweI/uJ/dvD7C029W8L4HLWb3eLv4O9Ov4XmH4wr8y84dRhvYyTu0VTPy9sm/FfF6/s8RtM+IKRv6M2CetQjfrx3Vdx6t/VzMD+Zm/6wV+5W/dzmPky78VeboAbe39O7BPJg9kV+kP/gLJvz1x7S+Q+U/PdPS330JO3knq1NBHmlv8U57B6JNmsfRu8W4DNJMXv0LcMaQB3IWWJBl3LndS07SV2AleeOGFF1544YUbx58//wG0UEun6FRGegAAAABJRU5ErkJggg==)
physics-General
physics-
characteristic of a copper wire of length
and area of cross-section
is shown in figure. The slope of the curve becomes
![](data:image/png;base64,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)
characteristic of a copper wire of length
and area of cross-section
is shown in figure. The slope of the curve becomes
![](data:image/png;base64,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)
physics-General
physics-
Four concurrent coplanar forces in newton are acting at a point and keep it in equilibrium figure. Then values of
and
are
![](data:image/png;base64,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)
Four concurrent coplanar forces in newton are acting at a point and keep it in equilibrium figure. Then values of
and
are
![](data:image/png;base64,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)
physics-General