Q. No.1. \(0.3~\text{J}\)
2. \(0.6~\text{J}\)
3. \(1.5~\text{J}\)
4. \(0.8~\text{J}\)
1. \(\frac{5}{3}{h}\)
2. \(\infty\)
3. \(\frac{8}{3}{h}\)
4. \(3{h}\)
A wedge of mass \(M=4m \) lies on a frictionless surface. A particle of mass \(m\) approaches the wedge with speed \(v.\) There is no friction between the particle and the plane, nor between the particle and the wedge. The maximum height reached by the particle on the wedge is given by:
| 1. | \( \dfrac{2 v^2}{7 g} \) | 2. | \(\dfrac{v^2}{2 g} \) |
| 3. | \(\dfrac{2 v^2}{5 g} \) | 4. | \(\dfrac{v^2}{g}\) |
A small bob, attached to one end of a thin string of length \(1~\text m,\) is performing vertical circular motion. The ratio of the maximum tension to the minimum tension in the string is \(5:1.\) What is the bob's velocity at the highest point?
(take \(g=10~\text{m/s}^2\))
1. \(2~\text{m/s}\)
2. \(5~\text{m/s}\)
3. \(6~\text{m/s}\)
4. \(9~\text{m/s}\)
1. momentum
2. potential energy
3. acceleration
4. force
1. \(3\)
2. \(2\)
3. \(1\)
4. \(5\)
1. 225
2. 50
3. 375
4. 25
1. \(6~\text{m/s}\)
2. \(6\sqrt5~\text{m/s}\)
3. \( 7\sqrt5~\text{m/s}\)
4. \(4\sqrt2~\text{m/s}\)
A particle attached to a light, inextensible string undergoes vertical circular motion. The speed at the lowest point \(B\) is just sufficient for the particle to complete the full circle. Ignoring air resistance, what is the ratio of kinetic energy at the highest point \(A\) to that at the lowest point \(B\text{?}\)
| 1. | \(1:5\) | 2. | \(5:1\) |
| 3. | \(1:7\sqrt2\) | 4. | \(1:5\sqrt2\) |
(Take \(g=10~ \text{m/s}^2)\)
1. \(20~\text{m/s}\)
2. \(10~\text{m/s}\)
3. \( \sqrt{10}~\text{m/s}\)
4. \(5~\text{m/s}\)
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