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Question

Assertion :Two bodies of masses M and m(M>m) are allowed to fall from the same height if the air resistance for each be the same then both the bodies will reach the earth simultaneously. Reason: For same air resistance, acceleration of both the bodies will be same.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution

The correct option is D Both Assertion and Reason are incorrect
The force acting on the body of mass M are its weight Mg acting vertically downwards and air resistance F acting vertically upward.
Acceleration of the body
a=MgFM=gFM
Now, M>m, therefore, the body with larger mass will have greater acceleration and it will reach the ground first.

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