Reason (R) : For same air resistance, acceleration of both the bodies will be same.
a) If both Assertion and Reason are true and Reason is correct explanation of Assertion.
b) If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
c) If Assertion is true but Reason is false.
d) If Assertion is false and Reason is true.
Doubt by Ishmeet
Solution :
Let
W=Mg=Weight of the Heavier body
W'=mg=Weight of the lighter body
F=Force of air resistance on both the bodies.
a=acceleration of the heavier body with which it comes downward
a'=acceleration of the lighter body with which it comes downward
Now,
For Heavier Body
W-F=Ma
Mg-F=Ma
[Mg-F]/M=a
a=Mg/M-F/M
a=g-F/M
Similarly for Lighter Body
a'=g-F/m
∵M>m
∴ a>a'
Since both the bodies have different accelerations so as per the equation s=ut+½at² both will the bodies will reach the earth at different times so Assertion (A) is false.
As we have already proved that both the bodies will have different acceleration although they have air resistance. So Reason (R) is also false.
Hence, both Assertion (A) and Reason (R) are false.
This option is not available in the given options, so it might be a misprint in the question paper.