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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Three blocks A, B and C of masses 4 kg, 2 kg and 1 kg respectively, are in contact on a frictionless surface, as shown. If a force of 14 N is applied on the 4 kg block, then the contact force between A and B is
                            

1.2N

2. 6N

3. 8N

4. 18N

Subtopic:  Application of Laws |
 80%
From NCERT
NEET - 2015
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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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A system consists of three masses m1, m2 and m3 connected by a string passing over a pulley P. The mass m1 hangs freely and m2 and m3 are on a rough horizontal table (the coefficient of friction=μ) The pulley is frictionless and of negligible mass. The downward acceleration of mass m1, is (Assume,m1=m2=m3=m)


1. g(1-gμ)/9

2. 2gμ/3

3. g(1-2μ)/3

4. g(1-2μ)/2

Subtopic:  Friction |
 84%
From NCERT
NEET - 2014
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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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The upper half of an inclined plane of inclination θ is perfectly smooth while the lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom if the coefficient of friction between the block and lower half of the plane is given by

1. μ=1/tanθ

2. μ=2/tanθ

3. μ=2tanθ

4. μ=tanθ

Subtopic:  Friction |
 64%
From NCERT
NEET - 2013
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A car of mass 1000 kg negotiates a banked curve of radius 90m on a frictionless road. If the banking angle is 45°,the speed of the car is 

1. 20 ms-1                                             2. 30 ms-1

3. 5 ms-1                                               4. 10 ms-1

Subtopic:  Friction |
 87%
From NCERT
NEET - 2012
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A car of mass \(m\) is moving on a level circular track of radius \(R\). If \(\mu_s\) represent the static friction between the road and tyres of the car, then the maximum speed of the car in circular motion is given by:

1. \(\sqrt{\mu_{s} mRg} \) 2. \(\sqrt{Rg / \mu_{s}}\)
3. \(\sqrt{mRg / \mu_{s}} \) 4. \(\sqrt{\mu_{s} {Rg}}\)
Subtopic:  Uniform Circular Motion |
 88%
From NCERT
NEET - 2012
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A person of mass 60 kg is inside a lift of mass 940 kg and presses the button on control panel. The lift starts moving upwards with an acceleration 1.0 m/s2. If g=10 m/s2, the tension in the supporting cable is:

1. 9680 N

2. 11000 N

3. 1200 N

4. 8600 N

Subtopic:  Application of Laws |
 89%
From NCERT
NEET - 2011
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