Two stones are thrown in same verticle plane from different floors of the same building simultaneously so as to hit the ground simultaneously. Statement-1: They may collide in air.
Statement-2: The two stones may have been projected with same horizontal component of speed.

Options

A. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
B. Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.
C. Statement-1 is true, statement-2 is false.
D. Statement -1 is false, statement -2 is true.

Answer

D

Explanation

To strike ground simulaneously
using `thetat-(g t_(0)^(2))/2=-h_(2)`
using `thetat-(g t_(0)^(2))/2=-h_(1)`
`(u-u)t=(h-h)`
`t=(h_(2)-h_(1))/(u_(1y)-u_(2y))`
to collide in mid air x component should be equal relative velocity `u-u` displcement `h-h`
time taken `t=(h_(2)-h_(1))/(u_(1y)-u_(2y))`
hence cannot collide.