A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is 

(1) East-north direction

(2) West-north direction

(3) South-east direction

(4) None of these

Subtopic:  Relative Motion |
 60%
From NCERT
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A ball P is dropped vertically and another ball Q is thrown horizontally from the  same height and at the same time. If air resistance is neglected, then 

(1) Ball P reaches the ground first

(2) Ball Q reaches the ground first

(3) Both reach the ground at the same time

(4) The respective masses of the two balls will decide the time

Subtopic:  Projectile Motion |
 81%
From NCERT
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A frictionless wire \(AB\) 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:
          
1. \(\frac{2 \sqrt{g R}}{g \cos \theta}\)
2. \(2 \sqrt{g R} . \frac{\cos \theta}{g}\)
3. \(2 \sqrt{\frac{R}{g}}\)
4. \(\frac{g R}{\sqrt{g\cos \theta}}\)

Subtopic:  Uniformly Accelerated Motion |
 53%
From NCERT
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A body is slipping from an inclined plane of height \(h\) and length \(l\). If the angle of inclination is \(\theta\), the time taken by the body to come from the top to the bottom of this inclined plane is:
1. \(\sqrt{\frac{2 h}{g}}\)
2. \(\sqrt{\frac{2 l}{g}}\)
3. \(\frac{1}{\sin \theta} \sqrt{\frac{2 h}{g}}\)
4. \(\sin \theta \sqrt{\frac{2 h}{g}}\)

Subtopic:  Uniformly Accelerated Motion |
 59%
From NCERT
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An aeroplane is moving with a velocity \(u\). It drops a packet from a height \(h\). The time \(t\) taken by the packet to reach the ground will be:
1. \( \sqrt{\left(\frac{2 g}{h}\right)} \)
2. \( \sqrt{\left(\frac{2 u}{g}\right)} \)
3. \( \sqrt{\left(\frac{h}{2 g}\right)} \)
4. \( \sqrt{\left(\frac{2 h}{g}\right)}\)

Subtopic:  Projectile Motion |
 83%
From NCERT
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An aeroplane is moving with horizontal velocity u at height h. The velocity of a packet dropped from it on the earth's surface will be (g is acceleration due to gravity) 

(1) u2+2gh

(2) 2gh

(3) 2 gh

(4) u22gh 

Subtopic:  Projectile Motion |
 58%
From NCERT
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A bullet is fired with a speed of 1000  m/sec in order to hit a target 100 m away. If g=10  m/s2, 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

Subtopic:  Projectile Motion |
 66%
From NCERT
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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. \(16~\text{s}\)
Subtopic:  Uniformly Accelerated Motion |
 70%
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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 \(30^{\circ}\)) is:

               

1. \(\frac{1}{2}~\text{sec} \) 2. \(2 ~\text{sec} \)
3. \(4~ \text{sec} \) 4. \(1~\text{sec} \)
Subtopic:  Uniformly Accelerated Motion |
 71%
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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 (g=10m/s2). They will cross each other after:

1. 1 s

2. 2 s

3. 3 s

4. 4 s

Subtopic:  Uniformly Accelerated Motion |
 79%
From NCERT
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