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Statement1: |
No external force acts on a system of two spheres which undergo a perfectly elastic head–on collision. The minimum kinetic energy of this system is zero if the net momentum of the system is zero |
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Statement2: |
If any two bodies undergo a perfectly elastic head–on collision, at the instant of maximum deformation, the complete kinetic energy of the system is converted to deformation potential energy of the system |
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a) |
Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1 |
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b) |
Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1 |
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c) |
Statement 1 is True, Statement 2 is False |
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d) |
Statement 1 is False, Statement 2 is True |
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Statement1: |
No external force acts on a system of two spheres which undergo a perfectly elastic head–on collision. The minimum kinetic energy of this system is zero if the net momentum of the system is zero |
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Statement2: |
If any two bodies undergo a perfectly elastic head–on collision, at the instant of maximum deformation, the complete kinetic energy of the system is converted to deformation potential energy of the system |
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a) |
Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1 |
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b) |
Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1 |
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c) |
Statement 1 is True, Statement 2 is False |
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d) |
Statement 1 is False, Statement 2 is True |
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(c) For a system of two isolated spheres having non–zero initial kinetic energy, the complete kinetic energy can be converted to other forms of energy if the momentum of the system is zero. This is due to the fact that for an isolated system, the net momentum remains conserved. If an isolated system has non–zero momentum, for the momentum to remain constant, complete kinetic energy of the system cannot become zero. Hence, Statement I is true while Statement II is false |