Question

Assertion :Two bodies of different masses dropped from the same height reach the ground at the same instant of time. Reason: Time of flight depends upon the mass of the bodies.

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

Answer 1

The correct option is C Assertion is correct but Reason is incorrect

Initial velocity of each body $u=0$

Acceleration due to gravity acting on each body is $g$ (downwards).

Let they are dropped from a height $H$.

Using $H=ut+\frac{1}{2}g{t}^2$

where $t$ is the time of flight.

Or $H=0+\frac{1}{2}g{t}^2$

$⟹$ $t=\sqrt{\frac{2H}{g}}$

So, time of flight is same for each body.

Also, time of flight is independent of the mass of the bodies.

Hence option C is correct.