Q. No.A bullet is fired with a speed of in order to hit a target 100 m away. If , the gun should be aimed:
1. Directly towards the target
2. 5 cm above the target
3. 10 cm above the target
4. 15 cm above the target
A body sliding on a smooth inclined plane requires \(4\) seconds to reach the bottom starting from the rest at the top. How much time does it take to cover one-fourth distance starting from the rest at the top?
| 1. | \(1~\text{s}\) | 2. | \(2~\text{s}\) |
| 3. | \(4~\text{s}\) | 4. | \(16~\text{s}\) |
The time taken by a block of wood (initially at rest) to slide down a smooth inclined plane \(9.8~\text{m}\) long (angle of inclination is \(30^{\circ}\)
| 1. | \(\frac{1}{2}~\text{sec} \) | 2. | \(2 ~\text{sec} \) |
| 3. | \(4~ \text{sec} \) | 4. | \(1~\text{sec} \) |
A ball is dropped from the top of a tower of 100m height. Simultaneously another ball is thrown upwards from the bottom of the tower with a speed of 50 m/s (). They will cross each other after:
1. 1 s
2. 2 s
3. 3 s
4. 4 s
Given below are two statements:
| Assertion (A): | A Rocket in flight is not an illustration of a projectile. |
| Reason (R): | The Rocket takes flight due to the combustion of fuel and does not move under the gravitational effect alone. |
Choose the correct option:
| 1. | If both assertion and reason are true, and the reason is the correct explanation of the assertion. |
| 2. | If both assertion and reason are true, but the reason is not the correct explanation of the assertion. |
| 3. | If the assertion is true but the reason is false. |
| 4. | If the assertion and reason both are false. |
If the body is moving in a circle of radius r with a constant speed v, its angular velocity is:
1. v2/r
2. vr
3. v/r
4. r/v
Two racing cars of masses \(m_1\) and \(m_2\) are moving in circles of radii \(r_1\) and \(r_2\) respectively. Their speeds are such that each makes a complete circle in the same duration of time \(t\). The ratio of the angular speed of the first to the second car is:
| 1. | \(m_1:m_2\) | 2. | \(r_1:r_2\) |
| 3. | \(1:1\) | 4. | \(m_1r_1:m_2r_2\) |
If a particle moves in a circle describing equal angles in equal times, its velocity vector:
1. remains constant.
2. changes in magnitude.
3. changes in direction.
4. changes both in magnitude and direction.
A motorcyclist going round in a circular track at a constant speed has:
1. constant linear velocity.
2. constant acceleration.
3. constant angular velocity.
4. constant force.
A particle P is moving in a circle of radius ‘a’ with a uniform speed v. C is the centre of the circle and AB is a diameter. When passing through B the angular velocity of P about A and C are in the ratio
1. 1 : 1
2. 1 : 2
3. 2 : 1
4. 4 : 1
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