05. Motion in Inclined Plane
Motion in One Dimensions

141966 A block at rest slides down a smooth inclined plane which makes an angle \(60^{\circ}\) with the vertical and it reaches the ground in \(t_{1}\) seconds. Another block is dropped vertically from the same point and reaches the ground in \(t_{2}\) seconds. Then the ratio of \(t_{1}: t_{2}\) is

1 \(1: 2\)
2 \(2: 1\)
3 \(1: 3\)
4 \(1: \sqrt{2}\)
5 \(3: 1\)
Motion in One Dimensions

141967 A frictionless wire \(A B\) is fixed on a sphere of radius \(R\). A very small spherical ball slips on this wire. The time taken by this ball to slip from \(A\) to \(B\) is
original image

1 \(\frac{\sqrt{2 g R}}{g \cos \theta}\)
2 \(2 \sqrt{\mathrm{gR}} \frac{\cos \theta}{\mathrm{g}}\)
3 \(2 \sqrt{\frac{R}{g}}\)
4 \(\frac{\mathrm{gR}}{\sqrt{\mathrm{g} \cos \theta}}\)
Motion in One Dimensions

141968 An object is placed on a smooth inclined plane of 1 in \(l\). The horizontal acceleration to be imparted to inclined plane so that, the object is stationary relative to the inclined is given by

1 \(\frac{g}{l^{2}-1}\)
2 \(\frac{\mathrm{g}}{\sqrt{l^{2}-1}}\)
3 \(\mathrm{g} \sqrt{l^{2}-1}\)
4 \(\mathrm{g}\left(l^{2}-1\right)\)
Motion in One Dimensions

141969 A mass \(m\) is placed on a wedge (triangular block) of mass \(M\). The wedge moves on a smooth horizontal surface what should be the force \(F\) applied on the wedge to the right. so that \(m\) remains stationary with respect to wedge. (Ignore any friction)
original image

1 \(g \tan \theta\)
2 \(m g \cos \theta\)
3 \((\mathrm{M}+\mathrm{m}) \mathrm{g} \tan \theta\)
4 \((\mathrm{M}+\mathrm{m}) \mathrm{g} \operatorname{cosec} \theta\)
Motion in One Dimensions

141966 A block at rest slides down a smooth inclined plane which makes an angle \(60^{\circ}\) with the vertical and it reaches the ground in \(t_{1}\) seconds. Another block is dropped vertically from the same point and reaches the ground in \(t_{2}\) seconds. Then the ratio of \(t_{1}: t_{2}\) is

1 \(1: 2\)
2 \(2: 1\)
3 \(1: 3\)
4 \(1: \sqrt{2}\)
5 \(3: 1\)
Motion in One Dimensions

141967 A frictionless wire \(A B\) is fixed on a sphere of radius \(R\). A very small spherical ball slips on this wire. The time taken by this ball to slip from \(A\) to \(B\) is
original image

1 \(\frac{\sqrt{2 g R}}{g \cos \theta}\)
2 \(2 \sqrt{\mathrm{gR}} \frac{\cos \theta}{\mathrm{g}}\)
3 \(2 \sqrt{\frac{R}{g}}\)
4 \(\frac{\mathrm{gR}}{\sqrt{\mathrm{g} \cos \theta}}\)
Motion in One Dimensions

141968 An object is placed on a smooth inclined plane of 1 in \(l\). The horizontal acceleration to be imparted to inclined plane so that, the object is stationary relative to the inclined is given by

1 \(\frac{g}{l^{2}-1}\)
2 \(\frac{\mathrm{g}}{\sqrt{l^{2}-1}}\)
3 \(\mathrm{g} \sqrt{l^{2}-1}\)
4 \(\mathrm{g}\left(l^{2}-1\right)\)
Motion in One Dimensions

141969 A mass \(m\) is placed on a wedge (triangular block) of mass \(M\). The wedge moves on a smooth horizontal surface what should be the force \(F\) applied on the wedge to the right. so that \(m\) remains stationary with respect to wedge. (Ignore any friction)
original image

1 \(g \tan \theta\)
2 \(m g \cos \theta\)
3 \((\mathrm{M}+\mathrm{m}) \mathrm{g} \tan \theta\)
4 \((\mathrm{M}+\mathrm{m}) \mathrm{g} \operatorname{cosec} \theta\)
Motion in One Dimensions

141966 A block at rest slides down a smooth inclined plane which makes an angle \(60^{\circ}\) with the vertical and it reaches the ground in \(t_{1}\) seconds. Another block is dropped vertically from the same point and reaches the ground in \(t_{2}\) seconds. Then the ratio of \(t_{1}: t_{2}\) is

1 \(1: 2\)
2 \(2: 1\)
3 \(1: 3\)
4 \(1: \sqrt{2}\)
5 \(3: 1\)
Motion in One Dimensions

141967 A frictionless wire \(A B\) is fixed on a sphere of radius \(R\). A very small spherical ball slips on this wire. The time taken by this ball to slip from \(A\) to \(B\) is
original image

1 \(\frac{\sqrt{2 g R}}{g \cos \theta}\)
2 \(2 \sqrt{\mathrm{gR}} \frac{\cos \theta}{\mathrm{g}}\)
3 \(2 \sqrt{\frac{R}{g}}\)
4 \(\frac{\mathrm{gR}}{\sqrt{\mathrm{g} \cos \theta}}\)
Motion in One Dimensions

141968 An object is placed on a smooth inclined plane of 1 in \(l\). The horizontal acceleration to be imparted to inclined plane so that, the object is stationary relative to the inclined is given by

1 \(\frac{g}{l^{2}-1}\)
2 \(\frac{\mathrm{g}}{\sqrt{l^{2}-1}}\)
3 \(\mathrm{g} \sqrt{l^{2}-1}\)
4 \(\mathrm{g}\left(l^{2}-1\right)\)
Motion in One Dimensions

141969 A mass \(m\) is placed on a wedge (triangular block) of mass \(M\). The wedge moves on a smooth horizontal surface what should be the force \(F\) applied on the wedge to the right. so that \(m\) remains stationary with respect to wedge. (Ignore any friction)
original image

1 \(g \tan \theta\)
2 \(m g \cos \theta\)
3 \((\mathrm{M}+\mathrm{m}) \mathrm{g} \tan \theta\)
4 \((\mathrm{M}+\mathrm{m}) \mathrm{g} \operatorname{cosec} \theta\)
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Motion in One Dimensions

141966 A block at rest slides down a smooth inclined plane which makes an angle \(60^{\circ}\) with the vertical and it reaches the ground in \(t_{1}\) seconds. Another block is dropped vertically from the same point and reaches the ground in \(t_{2}\) seconds. Then the ratio of \(t_{1}: t_{2}\) is

1 \(1: 2\)
2 \(2: 1\)
3 \(1: 3\)
4 \(1: \sqrt{2}\)
5 \(3: 1\)
Motion in One Dimensions

141967 A frictionless wire \(A B\) is fixed on a sphere of radius \(R\). A very small spherical ball slips on this wire. The time taken by this ball to slip from \(A\) to \(B\) is
original image

1 \(\frac{\sqrt{2 g R}}{g \cos \theta}\)
2 \(2 \sqrt{\mathrm{gR}} \frac{\cos \theta}{\mathrm{g}}\)
3 \(2 \sqrt{\frac{R}{g}}\)
4 \(\frac{\mathrm{gR}}{\sqrt{\mathrm{g} \cos \theta}}\)
Motion in One Dimensions

141968 An object is placed on a smooth inclined plane of 1 in \(l\). The horizontal acceleration to be imparted to inclined plane so that, the object is stationary relative to the inclined is given by

1 \(\frac{g}{l^{2}-1}\)
2 \(\frac{\mathrm{g}}{\sqrt{l^{2}-1}}\)
3 \(\mathrm{g} \sqrt{l^{2}-1}\)
4 \(\mathrm{g}\left(l^{2}-1\right)\)
Motion in One Dimensions

141969 A mass \(m\) is placed on a wedge (triangular block) of mass \(M\). The wedge moves on a smooth horizontal surface what should be the force \(F\) applied on the wedge to the right. so that \(m\) remains stationary with respect to wedge. (Ignore any friction)
original image

1 \(g \tan \theta\)
2 \(m g \cos \theta\)
3 \((\mathrm{M}+\mathrm{m}) \mathrm{g} \tan \theta\)
4 \((\mathrm{M}+\mathrm{m}) \mathrm{g} \operatorname{cosec} \theta\)