A police jeep is chasing with a velocity of 45 km/h a thief in another jeep moving with a velocity of 153 km/h. Police fire a bullet with a muzzle velocity of 180 m/s. The velocity with which it will strike the car of the thief is 

1.  150 m/s
2.  27 m/s
3.  450 m/s
4.  250 m/s

Subtopic:  Relative Motion in One Dimension |
 68%
From NCERT
PMT - 2004
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A train of 150 meter length is going towards north direction at a speed of 10 m/sec. A parrot flies at the speed of 5 m/sec towards south direction parallel to the railway track. The time taken by the parrot to cross the train is 

(1) 12 sec

(2) 8 sec

(3) 15 sec

(4) 10 sec

 

Subtopic:  Relative Motion in One Dimension |
 89%
From NCERT
PMT - 1992
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The distance between two particles is decreasing at the rate of \(6\) m/sec when they are moving in the opposite directions. If these particles travel with the same initial speeds and in the same direction, then the separation increases at the rate of \(4\) m/sec. It can be concluded that particles' speeds could be:
1. \(5\) m/sec, \(1\) m/sec
2. \(4\) m/sec, \(1\) m/sec
3. \(4\) m/sec, \(2\) m/sec
4. \(5\) m/sec, \(2\) m/sec

Subtopic:  Relative Motion in One Dimension |
 75%
From NCERT
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An express train is moving with a velocity v1. Its driver finds another train is moving on the same track in the same direction with velocity v2. To escape collision, driver applies a retardation 'a' on the train. The minimum time of escaping collision will be 

1.  t=v1v2a
2.  t1=v12v222
3.  None
4.  Both

Subtopic:  Relative Motion in One Dimension |
 70%
From NCERT
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A stone falls from a balloon that is descending at a uniform rate of 12 m/s. The displacement of the stone from the point of release after 10 sec is

(1) 490 m

(2) 510 m

(3) 610 m

(4) 725 m

Subtopic:  Uniformly Accelerated Motion |
 72%
From NCERT
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A ball is dropped on the floor from a height of 10 m. It rebounds to a height of 2.5 m. If the ball is in contact with the floor for 0.01 sec, the average acceleration during contact is 

1. 2100 m/sec2 downwards

2. 2100 m/sec2 upwards

3. 1400 m/sec2

4. 700 m/sec2

Subtopic:  Acceleration |
 51%
From NCERT
PMT - 1997
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A body A is projected upwards with a velocity of 98 m/s. The second body B is projected upwards with the same initial velocity but after 4 sec. Both the bodies will meet after

(1) 6 sec

(2) 8 sec

(3) 10 sec

(4) 12 sec

Subtopic:  Uniformly Accelerated Motion |
From NCERT
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Two bodies of different masses ma and mb are dropped from two different heights a and b. The ratio of the time taken by the two to cover these distances are 

(1) a : b

(2) b : a

(3) a:b

(4) a2:b2

Subtopic:  Uniformly Accelerated Motion |
 81%
From NCERT
PMT - 1993
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A body falls freely from rest. It covers as much distance in the last second of its motion as covered in the first three seconds. The body has fallen for a time of 

(1) 3 s

(2) 5 s

(3) 7 s

(4) 9 s

Subtopic:  Uniformly Accelerated Motion |
 73%
From NCERT
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A stone is dropped into water from a bridge 44.1 m above the water. Another stone is thrown vertically downward 1 sec later. Both strike the water simultaneously. What was the initial speed of the second stone?

(1) 12.25 m/s

(2) 14.75 m/s

(3) 16.23 m/s

(4) 17.15 m/s

Subtopic:  Uniformly Accelerated Motion |
 62%
From NCERT
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