Two blocks A and B of masses 3m and m respectively are connected by a massless and inextenisible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of A and B  immediately after the string is cut, are respectively 

1. g,g3

2. g3,g

3. g,g

4. g3,g3

Subtopic:  Spring Force |
 68%
From NCERT
NEET - 2017
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One end of the string of length \(l\) is connected to a particle of mass \(m\) and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in a circle with speed \(v\), the net force on the particle (directed towards the centre) will be: (\(T\) represents the tension in the string)

1. \(T \) 2. \(T+\frac{m v^2}{l} \)
3. \(T-\frac{m v^2}{l} \) 4. \(\text{zero}\)
Subtopic:  Uniform Circular Motion |
 54%
From NCERT
NEET - 2017
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A spring of force constant k is cut into lengths of ratio 1:2:3. They are connected in series and the new force constant is k'. If they are connected in parallel and force constant is k'', then k':k'' is 

1. 1:6

2. 1:9

3. 1:11

4. 6:11

Subtopic:  Spring Force |
 73%
From NCERT
NEET - 2017
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A rigid ball of mass m strikes a rigid wall at 60° and gets reflected without loss of speed as shown in the figure. The value of impulse imparted by the wall on the ball will be 

1. mv

2. 2mv

3. mv/2

4. mv/3

Subtopic:  Newton's Laws |
 71%
From NCERT
NEET - 2016
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A bullet of mass 10g moving horizontal with a velocity of 400 m/s strikes a wood block of mass 2 kg which is suspended by light inextensible string of length 5 m. As result, the centre of gravity of the block found to rise a vertical distance of 10 cm. The speed of the bullet after it emerges of horizontally from the block wiil be 

1. 100 m/s 

2. 80 m/s

3. 120 m/s 

4. 160 m/s 

Subtopic:  Newton's Laws |
 56%
From NCERT
NEET - 2016
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A car is negotiating a curved road of radius R. The road is banked at angle θ. The coefficient of friction between the tyres of the car and the road is μs. The maximum safe velocity on this road is

1. gRμs+tanθ1-μstanθ

2. gRμs+tanθ1-μstanθ

3. gR2μs+tanθ1-μstanθ

4. gR2μs+tanθ1-μstanθ

Subtopic:  Banking of Roads |
 86%
From NCERT
NEET - 2016
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A block A of mass m1 rests on a horizontal table. A light string connected to it passes over a frictionless pulley at the edge of table and from its other end another block B of mass m2 is suspended. The coefficient of kinetic friction between the block and the table is  μk. When the block A is sliding on the table, the tension in the string is

1. (m2km1)g /(m1+m2)

2. (m2km1)g/(m1+m2)

3. m1m2(1+μk)g/(m1+m2)

4. m1m2(1-μk)g/(m1+m2)

Subtopic:  Friction |
 59%
From NCERT
NEET - 2015
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A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches 30°, the box starts to slip and slides 4.0 m down the plank in 4.0 s. The coefficients of static and kinetic friction between the box and the plank will be. respectively

1. 0.6 and 0.6

2. 0.6 and 0.5

3. 0.5 and 0.6

4. 0.4 and 0.3

Subtopic:  Friction |
 72%
From NCERT
NEET - 2015
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Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in a radius r/2 and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier stone when they experience same centripetal forces. The value of n is

1. 2

2. 3

3. 4

4. 1

Subtopic:  Uniform Circular Motion |
 70%
From NCERT
NEET - 2015
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A balloon with mass m is descending down with an acceleration a (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration a?

1. 2ma/g+a

2. 2ma/g-a

3. ma/g+a

4. ma/g-a

Subtopic:  Application of Laws |
 61%
From NCERT
NEET - 2014
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