04. Circular Motion : Uniform Circular Motion, Dynamic Circular Motion
Motion in Plane

144021 A block of mass \(M\) at the end of the string is whirled round a vertical circle of radius \(R\). The critical speed of the block at the top of the swing is

1 \((\mathrm{R} / \mathrm{g})^{1 / 2}\)
2 \(g / R\)
3 \(\mathrm{M} / \mathrm{Rg}\)
4 \((\mathrm{Rg})^{1 / 2}\)
Motion in Plane

144022 A car is moving in a circular horizontal track of radius \(10 \mathrm{~m}\) with a constant speed of \(10 \mathrm{~ms}^{-}\) 1. A bob is suspended from the roof of the car by a light wire of length \(1.0 \mathrm{~m}\). The angle made by the wire with the vertical is (in radian)

1 0
2 \(\frac{\pi}{3}\)
3 \(\frac{\pi}{6}\)
4 \(\frac{\pi}{4}\)
Motion in Plane

144024 A particle is moving in a circle of radius ' \(r\) ' with a constant speed ' \(v\) '. The change in velocity after the particle has travelled a distance equal to \(\left(\frac{1}{8}\right)\) of the circumference of the circle is:

1 zero
2 \(0.500 \mathrm{v}\)
3 \(0.765 \mathrm{v}\)
4 \(0.125 \mathrm{v}\)
Motion in Plane

144025 Assertion (A): If a body moving in a circular path has constant speed, then there is no force acting on it.
Reason \((R)\) : The direction of the velocity vector of a body moving in a circular path is changing.

1 both \(\mathrm{A}\) and \(\mathrm{R}\) are true and \(\mathrm{R}\) is the correct explanation of \(\mathrm{A}\)
2 both \(\mathrm{A}\) and \(\mathrm{R}\) are true and \(\mathrm{R}\) is not the correct explanation of \(\mathrm{A}\)
3 \(\mathrm{A}\) is true but \(\mathrm{R}\) is false
4 A is false but \(R\) is true
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Motion in Plane

144021 A block of mass \(M\) at the end of the string is whirled round a vertical circle of radius \(R\). The critical speed of the block at the top of the swing is

1 \((\mathrm{R} / \mathrm{g})^{1 / 2}\)
2 \(g / R\)
3 \(\mathrm{M} / \mathrm{Rg}\)
4 \((\mathrm{Rg})^{1 / 2}\)
Motion in Plane

144022 A car is moving in a circular horizontal track of radius \(10 \mathrm{~m}\) with a constant speed of \(10 \mathrm{~ms}^{-}\) 1. A bob is suspended from the roof of the car by a light wire of length \(1.0 \mathrm{~m}\). The angle made by the wire with the vertical is (in radian)

1 0
2 \(\frac{\pi}{3}\)
3 \(\frac{\pi}{6}\)
4 \(\frac{\pi}{4}\)
Motion in Plane

144024 A particle is moving in a circle of radius ' \(r\) ' with a constant speed ' \(v\) '. The change in velocity after the particle has travelled a distance equal to \(\left(\frac{1}{8}\right)\) of the circumference of the circle is:

1 zero
2 \(0.500 \mathrm{v}\)
3 \(0.765 \mathrm{v}\)
4 \(0.125 \mathrm{v}\)
Motion in Plane

144025 Assertion (A): If a body moving in a circular path has constant speed, then there is no force acting on it.
Reason \((R)\) : The direction of the velocity vector of a body moving in a circular path is changing.

1 both \(\mathrm{A}\) and \(\mathrm{R}\) are true and \(\mathrm{R}\) is the correct explanation of \(\mathrm{A}\)
2 both \(\mathrm{A}\) and \(\mathrm{R}\) are true and \(\mathrm{R}\) is not the correct explanation of \(\mathrm{A}\)
3 \(\mathrm{A}\) is true but \(\mathrm{R}\) is false
4 A is false but \(R\) is true
Motion in Plane

144021 A block of mass \(M\) at the end of the string is whirled round a vertical circle of radius \(R\). The critical speed of the block at the top of the swing is

1 \((\mathrm{R} / \mathrm{g})^{1 / 2}\)
2 \(g / R\)
3 \(\mathrm{M} / \mathrm{Rg}\)
4 \((\mathrm{Rg})^{1 / 2}\)
Motion in Plane

144022 A car is moving in a circular horizontal track of radius \(10 \mathrm{~m}\) with a constant speed of \(10 \mathrm{~ms}^{-}\) 1. A bob is suspended from the roof of the car by a light wire of length \(1.0 \mathrm{~m}\). The angle made by the wire with the vertical is (in radian)

1 0
2 \(\frac{\pi}{3}\)
3 \(\frac{\pi}{6}\)
4 \(\frac{\pi}{4}\)
Motion in Plane

144024 A particle is moving in a circle of radius ' \(r\) ' with a constant speed ' \(v\) '. The change in velocity after the particle has travelled a distance equal to \(\left(\frac{1}{8}\right)\) of the circumference of the circle is:

1 zero
2 \(0.500 \mathrm{v}\)
3 \(0.765 \mathrm{v}\)
4 \(0.125 \mathrm{v}\)
Motion in Plane

144025 Assertion (A): If a body moving in a circular path has constant speed, then there is no force acting on it.
Reason \((R)\) : The direction of the velocity vector of a body moving in a circular path is changing.

1 both \(\mathrm{A}\) and \(\mathrm{R}\) are true and \(\mathrm{R}\) is the correct explanation of \(\mathrm{A}\)
2 both \(\mathrm{A}\) and \(\mathrm{R}\) are true and \(\mathrm{R}\) is not the correct explanation of \(\mathrm{A}\)
3 \(\mathrm{A}\) is true but \(\mathrm{R}\) is false
4 A is false but \(R\) is true
Motion in Plane

144021 A block of mass \(M\) at the end of the string is whirled round a vertical circle of radius \(R\). The critical speed of the block at the top of the swing is

1 \((\mathrm{R} / \mathrm{g})^{1 / 2}\)
2 \(g / R\)
3 \(\mathrm{M} / \mathrm{Rg}\)
4 \((\mathrm{Rg})^{1 / 2}\)
Motion in Plane

144022 A car is moving in a circular horizontal track of radius \(10 \mathrm{~m}\) with a constant speed of \(10 \mathrm{~ms}^{-}\) 1. A bob is suspended from the roof of the car by a light wire of length \(1.0 \mathrm{~m}\). The angle made by the wire with the vertical is (in radian)

1 0
2 \(\frac{\pi}{3}\)
3 \(\frac{\pi}{6}\)
4 \(\frac{\pi}{4}\)
Motion in Plane

144024 A particle is moving in a circle of radius ' \(r\) ' with a constant speed ' \(v\) '. The change in velocity after the particle has travelled a distance equal to \(\left(\frac{1}{8}\right)\) of the circumference of the circle is:

1 zero
2 \(0.500 \mathrm{v}\)
3 \(0.765 \mathrm{v}\)
4 \(0.125 \mathrm{v}\)
Motion in Plane

144025 Assertion (A): If a body moving in a circular path has constant speed, then there is no force acting on it.
Reason \((R)\) : The direction of the velocity vector of a body moving in a circular path is changing.

1 both \(\mathrm{A}\) and \(\mathrm{R}\) are true and \(\mathrm{R}\) is the correct explanation of \(\mathrm{A}\)
2 both \(\mathrm{A}\) and \(\mathrm{R}\) are true and \(\mathrm{R}\) is not the correct explanation of \(\mathrm{A}\)
3 \(\mathrm{A}\) is true but \(\mathrm{R}\) is false
4 A is false but \(R\) is true