A man standing on a road holds his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at 10 km/hr. He finds that raindrops are hitting his head vertically. The speed of raindrops with respect to the road will be

1. 10 km/hr

2. 20 km/hr

3. 30 km/hr

4. 40 km/hr

Subtopic:  Relative Motion |
 76%
From NCERT
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A man is crossing a river flowing with a velocity of 5 m/s. He reaches a point directly across the river at a distance of 60 m in 5 s. His velocity in still water should be:

1.  12 m/s

2.  13 m/s

3.  5 m/s

4.  10 m/s

Subtopic:  Relative Motion |
 69%
From NCERT
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A ball is projected at a certain angle with initial velocity u. It covers horizontal range R. With what initial velocity it should be projected keeping the angle of projection the same so that its horizontal range becomes 2.25R?

1. 2.5u 2. 1.5u
3. 2.25u 4. 0.25u
Subtopic:  Projectile Motion |
 80%
From NCERT
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A particle is moving with velocity v=k(yi^+xj^) where k is a constant. The general equation for the path will be:

1. y = x2 + constant 2. y2 = x2 + constant
3. y = x + constant 4. xy=constant
Subtopic:  Speed & Velocity |
 54%
From NCERT
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A body is thrown vertically so as to reach its maximum height in t second. The total time from the time of projection to reach a point at half of its maximum height while returning (in second) is:

1. 2t

2. 1+12t

3. 3t2

4. t2

Subtopic:  Projectile Motion |
 68%
From NCERT
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Three particles are moving with constant velocities v1, v2 and v respectively as given in the figure. After some time, if all the three particles are in the same line, then the relation among v1, v2 and v is:
                                    
1.  v= v1 + v2

2.  v= v1v2

3.  v=v1v2v1+v2

4.  v= 2v1v2v1+v2

Subtopic:  Speed & Velocity |
 53%
From NCERT
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A particle starts from the origin at t=0 and moves in the x-y plane with a constant acceleration 'a' in the y direction. Its equation of motion is y=bx2. The x component of its velocity (at t=0) will be:

1. variable

2. 2ab

3. a2b

4. a2b

Subtopic:  Acceleration |
From NCERT
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A boat moves with a speed of 5 km/h relative to water in a river flowing with a speed of 3 km/h. Width of the river is 1 km. The minimum time taken for a round trip will be

1. 5 min

2. 60 min

3. 20 min

4. 30 min

Subtopic:  Relative Motion |
 55%
From NCERT
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A river is flowing from W to E with a speed of 5 m/min. A man can swim in still water with a velocity of 10 m/min. In which direction should the man swim so as to take the shortest possible path to go to the south. 

1. 30° with downstream

2. 60° with downstream

3. 120° with downstream

4. South

Subtopic:  Relative Motion |
 59%
From NCERT
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Certain neutron stars are believed to be rotating at about 1 rev/s. If such a star has a radius of 20 km, the acceleration of an object on the equator of the star will be:

1. \(20 \times 10^8 \mathrm{~m} / \mathrm{s}^2 \) 2. \(8 \times 10^5 \mathrm{~m} / \mathrm{s}^2 \)
3. \(120 \times 10^5 \mathrm{~m} / \mathrm{s}^2 \) 4. \(4 \times 10^8 \mathrm{~m} / \mathrm{s}^2\)
Subtopic:  Circular Motion |
 69%
From NCERT
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