# A massless and inextensible string connects two blocks A and B of masses $$3m$$ and $$m,$$ respectively. The whole system is suspended by a massless spring, as shown in the figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively:        1. $\frac{g}{3},g$ 2. $$g,$$ $$g$$ 3. $\frac{g}{3},\frac{g}{3}$ 4. $g,\frac{g}{3}$

Subtopic:  Spring Force |
67%
From NCERT
NEET - 2017
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A block of mass m is placed on a smooth inclined wedge ABC of inclination θ as shown in the figure. The wedge is given an acceleration 'a' towards the right. The relation between a and $\mathrm{\theta }$ for the block to remain stationary on the wedge is:

1. $a=\frac{g}{\mathrm{cos}ec\theta }$

2. $a=\frac{g}{\mathrm{sin}\theta }$

3. $a$ $=$ $g\mathrm{cos}$ $\theta$

4. $a$ $=$ $g\mathrm{tan}$ $\theta$

Subtopic:  Application of Laws |
77%
From NCERT
NEET - 2018
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A car is negotiating a curved road of radius $$R$$. The road is banked at an angle $$\theta$$. The coefficient of friction between the tyre of the car and the road is $$\mu_s$$. The maximum safe velocity on this road is:
1. $$\sqrt{\operatorname{gR}\left(\frac{\mu_{\mathrm{s}}+\tan \theta}{1-\mu_{\mathrm{s}} \tan \theta}\right)}$$
2. $$\sqrt{\frac{\mathrm{g}}{\mathrm{R}}\left(\frac{\mu_{\mathrm{s}}+\tan \theta}{1-\mu_{\mathrm{s}} \tan \theta}\right)}$$
3. $$\sqrt{\frac{\mathrm{g}}{\mathrm{R}^2}\left(\frac{\mu_{\mathrm{s}}+\tan \theta}{1-\mu_{\operatorname{s}} \tan \theta}\right)}$$
4. $$\sqrt{\mathrm{gR}^2\left(\frac{\mu_{\mathrm{s}}+\tan \theta}{1-\mu_{\mathrm{s}} \tan \theta}\right)}$$

87%
From NCERT
NEET - 2016
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Which one of the following statements is incorrect?

 1 Rolling friction is smaller than sliding friction. 2 Limiting value of static friction is directly proportional to the normal reaction. 3 Frictional force opposes the relative motion. 4 Coefficient of sliding friction has dimensions of length.
Subtopic:  Friction |
76%
From NCERT
NEET - 2018
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A rigid ball of mass M strikes a rigid wall at ${60}^{0}$ and gets reflected without loss of speed, as shown in the figure. The value of the impulse imparted by the wall on the ball will be:

 1 Mv 2 2Mv 3 Mv/2 4 Mv/3
Subtopic:  Newton's Laws |
74%
From NCERT
NEET - 2016
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A car is negotiating a curved road of radius R. The road is banked at angle $\mathrm{\theta }$. The coefficient of friction between the tyres of the car and the road is ${\mathrm{\mu }}_{\mathrm{s}}$. The maximum safe velocity on this road is

1. $\sqrt{\mathrm{gR}\left(\frac{{\mathrm{\mu }}_{\mathrm{s}}+\mathrm{tan\theta }}{1-{\mathrm{\mu }}_{\mathrm{s}}\mathrm{tan\theta }}\right)}$

2. $\sqrt{\frac{\mathrm{g}}{\mathrm{R}}\left(\frac{{\mathrm{\mu }}_{\mathrm{s}}+\mathrm{tan\theta }}{1-{\mathrm{\mu }}_{\mathrm{s}}\mathrm{tan\theta }}\right)}$

3. $\sqrt{\frac{\mathrm{g}}{{\mathrm{R}}^{2}}\left(\frac{{\mathrm{\mu }}_{\mathrm{s}}+\mathrm{tan\theta }}{1-{\mathrm{\mu }}_{\mathrm{s}}\mathrm{tan\theta }}\right)}$

4. $\sqrt{{\mathrm{gR}}^{2}\left(\frac{{\mathrm{\mu }}_{\mathrm{s}}+\mathrm{tan\theta }}{1-{\mathrm{\mu }}_{\mathrm{s}}\mathrm{tan\theta }}\right)}$

85%
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 |
55%
From NCERT
NEET - 2016
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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. Zero

Subtopic:  Uniform Circular Motion |
52%
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 ${k}^{\text{'}}$. If they are connected in parallel and force constant is  is

(1) 1:6

(2) 1:9

(3) 1:11

(4) 6:11

Subtopic:  Spring Force |
77%
From NCERT
NEET - 2017
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