Assertion :For the planets orbiting around the sun, angular speed, linear speed and K.E. changes with time, but angular momentum is constant. Reason: No torque is acting on the rotating planet. So its angular momentum is constant.
A
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
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B
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a 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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Solution
The correct option is B STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1 Both the statements are true. But the angular momentum is constant because the radius vector sweeps equal areas in equal amount of times (Kepler's law of areas). Thus mathematically it shows that angular momentum is constant.