Assertion (A): Two bodies of masses \(M\) and \(m\) (\(M > m\)) are allowed to fall from the same height if the air resistance force for each be the same then both the bodies will reach the earth simultaneously.
Reason (R): For same air resistance, acceleration of both the bodies will be same.
Solution:
If the air resistance force \(F_{/text{air}}\) is the same for both bodies, the net force is \(mg - F_{/text{air}}\). The acceleration is \(a = g - F_{/text{air}}/m\). Since masses \(M\) and \(m\) are different, their accelerations will be different. Thus, they will not reach the earth simultaneously, and their accelerations will not be the same. Both assertion and reason are false.
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