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Q. No.Two bodies \(A\) and \(B\) of the same mass undergo completely inelastic one-dimensional collision. The body \(A\) moves with velocity \(v_1\) while the body \(B\) is at rest before collision. The velocity of the system after collision is \(v_2.\) The ratio of \(v_1:v_2\) is:
1. \(2:1\)
2. \(4:1\)
3. \(1:4\)
4. \(1:2\)
1. \(2:1\)
2. \(4:1\)
3. \(1:4\)
4. \(1:2\)
Subtopic: Collisions |
65%
Level 2: 60%+
NEET - 2024
Hints
At any instant of time \(t,\) the displacement of any particle is given by \(2t-1\) (SI unit) under the influence of the force of \(5~\text N.\) The value of instantaneous power (in SI units) is:
| 1. | \(5\) | 2. | \(7\) |
| 3. | \(6\) | 4. | \(10\) |
Subtopic: Power |
74%
Level 2: 60%+
NEET - 2024
Hints
The object \(A\) has half the kinetic energy as that of the object \(B.\) The object \(B\) has half the mass as that of the object \(A.\) The object \(A\) speeds up by \(1~\text{ms}^{-1}\) and then has the same kinetic energy as that of the object \(B.\) The initial speed of the object \(A\) is:
(Take \(\sqrt2\cong1.4\))
(Take \(\sqrt2\cong1.4\))
| 1. | \(0.5~\text{ms}^{-1}\) | 2. | \(1~\text{ms}^{-1}\) |
| 3. | \(2.5~\text{ms}^{-1}\) | 4. | \(4.8~\text{ms}^{-1}\) |
Subtopic: Work Energy Theorem |
51%
Level 3: 35%-60%
NEET - 2024
Hints
A particle is displaced through \((3 \hat{i}+4 \hat{j})~\text{m}\) by force \(2 \hat{i}~\text{N}\). The work done is:
1. \(14~\text{J}\)
2. \(8~\text{J}\)
3. \(6~\text{J}\)
4. \(10~\text{J}\)
1. \(14~\text{J}\)
2. \(8~\text{J}\)
3. \(6~\text{J}\)
4. \(10~\text{J}\)
Subtopic: Work done by constant force |
86%
Level 1: 80%+
NEET - 2024
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The potential energy of a long spring when stretched by \(2~\text{cm}\) is \(U.\) If the spring is stretched by \(8~\text{cm},\) the potential energy stored in it will be:
| 1. | \(16U\) | 2. | \(2U\) |
| 3. | \(4U\) | 4. | \(8U\) |
Subtopic: Elastic Potential Energy |
76%
Level 2: 60%+
NEET - 2023
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A bullet from a gun is fired on a rectangular wooden block with velocity \(u\). When bullet travels \(24\) cm through the block along its length horizontally, velocity of bullet becomes \(u/3\). Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:
| 1. | \(30\) cm | 2. | \(27\) cm |
| 3. | \(24\) cm | 4. | \(28\) cm |
Subtopic: Work Energy Theorem |
71%
Level 2: 60%+
NEET - 2023
Hints
A bullet of mass \(m\) hits a stationary block of mass \(M\) elastically. The transfer of energy is the maximum, when:
| 1. | \(M=m\) | 2. | \(M=2m\) |
| 3. | \(M\ll m\) | 4. | \(M\gg m\) |
Subtopic: Collisions |
58%
Level 3: 35%-60%
NEET - 2023
Hints
A particle moves with a velocity \((5\hat i-3\hat j+6\hat k)~\text{ms}^{-1}\) horizontally under the action of a constant force \((10\hat i+10\hat j+20\hat k)~\text N.\) The instantaneous power supplied to the particle is:
| 1. | \(200~\text W\) | 2. | zero |
| 3. | \(100~\text W\) | 4. | \(140~\text W\) |
Subtopic: Power |
80%
Level 1: 80%+
NEET - 2023
Hints
The energy that will be ideally radiated by a \(100~\text{kW}\) transmitter in \(1~\text{hr}\) is:
| 1. | \(1\times 10^{5}~\text J\) | 2. | \(36\times 10^{7}~\text J\) |
| 3. | \(36\times 10^{4}~\text J\) | 4. | \(36\times 10^{5}~\text J\) |
Subtopic: Power |
76%
Level 2: 60%+
NEET - 2022
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An electric lift with a maximum load of \(2000\) kg (lift+passengers) is moving up with a constant speed of \(1.5\) ms–1. The frictional force opposing the motion is \(3000\) N. The minimum power delivered by the motor to the lift in watts is: (Take \(g=10\) ms–2)
| 1. | \(23500\) | 2. | \(23000\) |
| 3. | \(20000\) | 4. | \(34500\) |
Subtopic: Power |
66%
Level 2: 60%+
NEET - 2022
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