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Q. No.The tension at the mid-point \(\mathrm{P}\) of the rope is:
(consider the system is in equilibrium condition, mass of rope\(=4~\) kg and \(g=10\) m/s2.)
1. \(100\) N
2. \(120\) N
3. \(140\) N
4. \(190\) N
Subtopic: Tension & Normal Reaction |
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If the reaction is \(R\) and the coefficient of friction is \(\mathit{\mu}\), what is the work done against friction in moving the body horizontally by distance \(d\) slowly?
1. \(\dfrac{{\mu}{Rd}}{4}\)
2. \({2}{\mu}{Rd}\)
3. \({\mu}{Rd}\)
4. \(\dfrac{{\mu}{Rd}}{2}\)
1. \(\dfrac{{\mu}{Rd}}{4}\)2. \({2}{\mu}{Rd}\)
3. \({\mu}{Rd}\)
4. \(\dfrac{{\mu}{Rd}}{2}\)
Subtopic: Friction |
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In the system shown in the accompanying figure, what is the tension \(T_2?\)
1. \(g\)
2. \(2g\)
3. \(5g\)
4. \(6g\)
1. \(g\)
2. \(2g\)
3. \(5g\)
4. \(6g\)
Subtopic: Tension & Normal Reaction |
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A car travelling on a level road cannot have an acceleration greater in magnitude than (\(\mathit{\mu}\) is coefficient of friction):
1. \(\mathit{\mu}\)g
2. \(\mu^{2}g\)
3. \(g\)
4. \(g/\mu\)
1. \(\mathit{\mu}\)g
2. \(\mu^{2}g\)
3. \(g\)
4. \(g/\mu\)
Subtopic: Friction |
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A horizontal force \(F\) acts on a \(2\) kg block placed on a smooth horizontal plane. It varies with time \(t\) as shown in the figure. The block is initially at rest. The momentum of the block at \(t=2\) s is:
| 1. | \(3\) kg-m/s | 2. | \(2.5 \) kg-m/s |
| 3. | \(1.5 \) kg-m/s | 4. | \(1\) kg-m/s |
Subtopic: Newton's Laws |
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When a body of mass \(m\) just begins to slide as shown, match List-I with List-II:
| List-I | List-II | ||
| (a) | Normal reaction | (i) | \(P\) |
| (b) | Frictional force \((f_s)\) | (ii) | \(Q\) |
| (c) | Weight \((mg)\) | (iii) | \(R\) |
| (d) | \(mg \mathrm{sin}\theta ~\) | (iv) | \(S\) |
Choose the correct answer from the options given below:
| (a) | (b) | (c) | (d) | |
| 1. | (ii) | (i) | (iii) | (iv) |
| 2. | (iv) | (ii) | (iii) | (i) |
| 3. | (iv) | (iii) | (ii) | (i) |
| 4. | (ii) | (iii) | (iv) | (i) |
Subtopic: Application of Laws |
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Level 1: 80%+
NEET - 2022
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Two masses, \(M_1\) and \(M_2, \) are connected by a light, inextensible string that passes over a frictionless pulley. When the mass \(M_2\) is twice that of \(M_1,\) the system experiences an acceleration \(a_1.\) Similarly, when \(M_2\) is three times the mass of \(M_1,\) the system’s acceleration becomes \(a_2.\) The ratio The ratio \(\dfrac{a_1}{a_2}\) will be:
1. \(\dfrac{1}{3}\)
2. \(\dfrac{2}{3}\)
3. \(\dfrac{3}{2}\)
4. \(\dfrac{1}{2}\)
1. \(\dfrac{1}{3}\)
2. \(\dfrac{2}{3}\)
3. \(\dfrac{3}{2}\)
4. \(\dfrac{1}{2}\)
Subtopic: Application of Laws |
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A bag is gently dropped on a conveyor belt moving at a speed of \(2\text{ m/s}.\) The coefficient of friction between the conveyor belt and bag is \(0.4\) Initially, the bag slips on the belt before it stops due to friction. The distance traveled by the bag on the belt during slipping motion is: (take \(g = 10\text{ m/s}^2\))
1. \(2\text{ m}\)
2. \(0.5\text{ m}\)
3. \(3.2\text{ m}\)
4. \(0.8\text{ m}\)
1. \(2\text{ m}\)
2. \(0.5\text{ m}\)
3. \(3.2\text{ m}\)
4. \(0.8\text{ m}\)
Subtopic: Friction |
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A balloon has a mass of \(10\text{ g}\) in the air. The air escapes from the balloon at a uniform rate with a velocity of \(4.5\text{ cm/s}.\) If the balloon shrinks in \(5\text{ s}\) completely. Then, the average force acting on that balloon will be (in dyne).
1. \(3\)
2. \(9\)
3. \(12\)
4. \(18\)
1. \(3\)
2. \(9\)
3. \(12\)
4. \(18\)
Subtopic: Newton's Laws |
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A block of metal weighing \(2\text{ kg}\) is resting on a frictionless plane (as shown in the figure). It is struck by a jet releasing water at a rate of \(1\text{ kg/s}~\) and at a speed of \(10\text{ m/s}.\) Then, the initial acceleration of the block, in \(\text{m/s}^2,\) will be:
1. \(3\)
2. \(6\)
3. \(5\)
4. \(4\)
1. \(3\)
2. \(6\)
3. \(5\)
4. \(4\)
Subtopic: Application of Laws |
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Level 1: 80%+
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