A body of mass (\(4m\)) is lying in the x-y plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass (\(m\)) move perpendicular to each other with equal speeds (\(u\)). The total kinetic energy generated due to explosion is:
1. | \(mu^2\) | 2. | \(1.5~mu^2\) |
3. | \(2~mu^2\) | 4. | \(3~mu^2\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyA uniform force of \((3 \hat{i} + \hat{j})\) newton acts on a particle of mass \(2\) kg. Hence the particle is displaced from position \((2 \hat{i} + \hat{k})\) meter to position \((4 \hat{i} + 3 \hat{j} - \hat{k})\) meter. The work done by the force on the particle is:
1. | \(6\) J | 2. | \(13\) J |
3. | \(15\) J | 4. | \(9\) J |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyA particle of mass m1 is moving with a velocity v1 and another particle of mass m2 is moving with a velocity v2. Both of them have the same momentum, but their kinetic energies are E1 and E2 respectively. If m1 > m2 then:
1.
2.
3.
4.
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyIf the kinetic energy of a body is increased by \(300\)%, then the percentage change in momentum will be:
1. \(100\)%
2. \(150\)%
3. \(265\)%
4. \(73.2\)%
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology\(250\) N force is required to raise \(75\) kg mass from a pulley. If the rope is pulled \(12\) m, then the load is lifted to \(3\) m. The efficiency of the pulley system will be:
1. \(25\text{%}\)
2. \(33.3\text{%}\)
3. \(75\text{%}\)
4. \(90\text{%}\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThe kinetic energy of a person is just half of the kinetic energy of a boy whose mass is just half of that person. If the person increases his speed by \(1~\text{m/s},\) then his kinetic energy equals to that of the boy, then the initial speed of the person was:
1. \(\left( \sqrt{2}+1 \right)~\text{m/s}\)
2. \(\left( 2+\sqrt{2} \right)~\text{m/s}\)
3. \(2\left( 2+\sqrt{2} \right)~\text{m/s}\)
4. none of the above
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology