Physics-
General
Easy
Question
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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)
The correct answer is: ![fraction numerator V over denominator 2 R end fraction](data:image/png;base64,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)
Related Questions to study
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.
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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,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)
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,iVBORw0KGgoAAAANSUhEUgAAAOEAAADBCAMAAAAOwSd+AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAALiUExURf///1paWgAAAE1NTezs7Pb29oWFhXNzc8TExDg4OERERKioqMzMzNvb297e3t/f38/Pz6ysrElJSREREWJiYtTU1GNjYysrKxMTExsbGx0dHQEBAT8/P6SkpP39/dfX17CwsIyMjG5ublxcXFtbW2tra5KSksPDw/7+/tDQ0Lm5ue7u7ry8vPT09Onp6UhISI+Pj5qamk5OTkBAQPPz8+bm5kxMTPLy8q+vrwcHB/v7+2RkZDk5OeLi4r29vRUVFZ+fn7i4uCAgIKamppOTkxwcHNzc3Pj4+EFBQUtLSzY2Nt3d3S4uLnd3d6qqqg0NDYmJidPT0yoqKhYWFsDAwOTk5Ds7O62trXFxcQsLC6urq+vr6/z8/GdnZ5WVlcnJyfDw8PHx8fn5+erq6tbW1vf39+3t7bW1tejo6JmZmRcXF7GxsX19fQ8PD9XV1Tw8PFBQUIGBgZCQkLS0tFFRUTMzMyYmJmhoaDU1NTExMbq6uqmpqX5+fre3t3JycsrKyrKystHR0VVVVfX19aCgoA4ODsHBwZubm9jY2Pr6+lRUVAoKCpGRkeXl5SIiIsbGxufn52FhYYiIiENDQ42Nje/v79ra2s7OzoSEhGBgYFlZWQwMDBgYGOPj419fX0JCQqGhoRkZGb+/v3Z2dj09PW9vb2lpaXV1ddnZ2ZeXlzc3N4uLi0dHRygoKBoaGrOzs+Dg4B4eHicnJ4qKikZGRggICICAgI6Ojs3NzaKioiwsLBISEgQEBBQUFAICAhAQEAMDAwYGBnx8fL6+vru7u11dXZaWljAwMIKCgh8fH4ODg8XFxWpqauHh4UVFRcvLy7a2tj4+PpiYmK6urnt7e56entLS0k9PT1hYWDQ0NCQkJHR0dG1tbQkJCYaGhsjIyIeHh2xsbGVlZZSUlJycnCEhISMjI52dnTo6OiUlJaOjo3l5eVNTU6enp2ZmZlJSUldXV8LCwi0tLXp6eikpKQAAAFZvhPEAAAD2dFJOU///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////AEo/IKkAAAAJcEhZcwAAFxEAABcRAcom8z8AAAafSURBVHhe7Z3d0eogEIYzuWS4owxKYUIfFJAGKCAX1JR6qOHwp19MWI6JJiLuY8ZBPfG4vrzski/B7gJ03xOe2p3p+yE124GOLkRJhRBUkp7Ze7TtIOzE+p4xf0dUerIxxGys1dYqmp5AEOQgdOZibnAkvME1MYqM6VGDcKI5n3udHjaIHUXXzazRdOaYmXT3irVrQx0M2LANxeTrZdmb+LBBxOQMSAfWbrIQ4ygltX3D6ZD6qlkOLVfOvOFiBkGQquG0pfGHy200hrhyvBlUqL0fMX1DCVKMi+O6NwbWkIamZ/1NRC5SrKahCKkeJ5IOVys7jXNotaShHBSbhxDXLIXQUwjWsJYKVRdhbPgMYabQbMqHbvqbInSIIVqyJR86Df8yg2FpWG1WQ6l73aIPl9ldxXDb9WHXxQOnjfrQ908xhQdtasg1mamOhxXb9CFXRJvUYdvSMA0uDn4/KtWYD281zQKnIfdH4XZsac8aeRxLIy71653Y7bvUwkM+TJieaHfbsRFG0r71kddwd6+z9f75KqfhgbFUf5uG+yNEDT9HXsPdNU3FEb5HQ1fzpVZ9oA+f4/s0RB+u+QEfNl/T/IIPa9ZwG2FjGmZmwEfyYb0Rugn6hv0a1hxhjrZ8mKMtH+Zoy4c5fkFD9OEa9GFtoA8zoIaV0db8MAf6MAPmw8rAfLgF82FtoA8zYD6sDMyHWzAf1gb6MANqWBmYD7dgPqwN9GEGHEsrA/PhFsyHtfH9GvJhtKUYvj4fCmvpEK/Dy/NmDane/YW9iBpddGNh5STYhwJ6oRhh5pL/U+HEunu7vQz/DqghnYDvpaxh5qSkU+HML3+lJrgnKihCziDlbSFCfnWENCztFVeGEEo+3vwmCbs1V9vA7OY5t7m7cfL3+c2wYf1U3DZP3LfdV7Q8IMKSvyqMl5RlCUvL5si/EBaijc0shbfLv19a+eAoPJjJ+uGm43MOzWRqrVDM0tRcMY7ACw7FTGptmPKvvLp6zOA9E4YbAHAsFdBIU/ShgH04neNQOspOkUKOAiOk4EhTyviFsfSkCLuZjKUAj2hYyhbXa+jsV+7ocD6ENCzmw9wyRhF+WoT/AaxLxQgtdHqwLv1UhPvr0oMz4A9qeFGEhzTMnbe9l8vmh4c0lG/Q/fj8kA96s5CmMBacjfr1UyPq2fnH/I7fKIDHUgN81qQht1r3fu3lBUIqMwKz0VheeWb23HLUwjI27O1hWyAfcjNlrj8JxAhnxbu5f6yWZvdeEuoUtwi5Xe0FwYdev1iXeyANuXv//EdNGobdyKMl/ccxgEv5rZcqFaZ0TzDH5VdeBPYhuBrf30jD7VoNqsFVCpOGTntW0nA2d9nijOFV4GwBRbgYS7dHZQyDFptOPhRGdMVfceF2TF1TjM/15v8AZwsD+fDveKnaROM7NzBSxgjN3N00lEblMKQnYTlnOr3lmM8rGi461B9x3fAt0YezddN9N+t1O3IyZRndZDmMx6WDLzt4wYfCjaZbOAH6YNBQGDOYfnJd1bUD9HETQo1jyBFca/Bw3x5KvbSsoQhj40OQxggOptG/jF/0odDpDbib9kHf/h7gXgoaKtY0dBykNI9Vje316pkFt3zoWsUI7/vLnAn2A+ZDSab88eukoSFW2/VoN8/gt/5X04TC4DpAH1JKgU8SI+RcuG3HZ/2L8FpgH0Is8uEeFj68lgvnh6jhSRyYHx78G/APaPihCI/4EDXM8k0+PDqWliqZE7lQw7fM9vZzYT78UIS/oOFl+RA1PIkL82HrGn4sW1yYD9v34cc03O1DHEsBPjeW7vfhMQ3fc4x+P5gPMxzspajhWVxXl6KGZ3FdXYoansV1dekPaPihH3W/ri4dj0n/Mpdp2H1Ow8vq0tY1/CYfHh1L0YcncWFdihruAz4ThSuzPE/mSD5kxjGUborLxaNwM+/9ESUOdj2u5LD8W+V+DTuVLsoqoafUuNO/5zy8G/A57v5KqmFxStwBH3ZCUEpF8Zb7B2nvs/H/j1lcU3rgF62qh6t0Nhf3ZwIOTMYTBL8r0Gwn9QG557ll6fTp4KfbdY9vOaX6QnIRKjaxwYcopxiOcCOiImwwyt+ussmJKEJIHETj1cGRpnx4/3VGvrhA/0A+rBzpOqhcXHN5IB9WDpn0oBcn4R/Jh3VDjXk4j7c9Dde058M1vxDhN/rQp4Vns9zQf6WG1JVoqfk/1Ooiye9A7DhX9emvoiq4n03zyyZkHyDM8P+zlgKCIAiCIAiCIMiCrvsHIsU5urETyN0AAAAASUVORK5CYII=)
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
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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
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)
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
physics-
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
physics-General
physics-
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
physics-General
physics-
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,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)
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,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)
physics-General