Laws Of Motion Question 4
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.
Options:
A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
C) If assertion is true but reason is false.
D) If the assertion and reason both are false.
E) If assertion is false but reason is true.
Show Answer
Answer:
Correct Answer: D
Solution:
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=\frac{Mg-F}{M}=g-\frac{F}{M} $ Now, M > m, therefore, the body with larger mass will have greater acceleration and it will reach the ground first.
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