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 |
 77%
From NCERT
NEET - 2018
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A block of mass \(m\) is placed on a smooth inclined wedge \(ABC\) of inclination \(\theta\) as shown in the figure. The wedge is given an acceleration '\(a\)' towards the right. The relation between \(a\) and \(\theta\) for the block to remain stationary on the wedge is:
          
1. \(a = \frac{g}{\text{cosec}\theta}\)
2. \(a = \frac{g}{\text{sin}\theta}\)
3. \(a = g~\text{cos}\theta\)
4. \(a = g~\text{tan}\theta\)

Subtopic:  Application of Laws |
 77%
From NCERT
NEET - 2018
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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. \(\mathrm{T}-\frac{m v^2}{l} \) 4. \(\text{Zero}\)
Subtopic:  Uniform Circular Motion |
 53%
From NCERT
NEET - 2017
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A massless and inextensible string connects two blocks \(\mathrm{A}\) and \(\mathrm{B}\) 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 \(\mathrm{A}\) and \(\mathrm{B}\) 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 |
 68%
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 |
 76%
From NCERT
NEET - 2017
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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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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 rigid ball of mass \(M\) strikes a rigid wall at \(60^{\circ}\) 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. \(\frac{Mv}{2}\) 4. \(\frac{Mv}{3}\)
Subtopic:  Newton's Laws |
 75%
From NCERT
NEET - 2016
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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. \(\sqrt{\mathrm{gR}^2\left(\frac{\mu_{\mathrm{s}}+\tan \theta}{1-\mu_{\mathrm{s}} \tan \theta}\right)}\)

Subtopic:  Banking of Roads |
 88%
From NCERT
NEET - 2016
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