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Assertion : A body is dropped from heigh...

Assertion : A body is dropped from height h and another body is thrown vertically upwards with a speed `sqrt(gh).` They meet at height `h/ 2.`
Reason : The time taken by both the blocks in reaching the height `h/2` is same.

A

If the both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

Verified by Experts

The correct Answer is:
A
`t_1=sqrt((2(h//2))/g)=sqrt(h/g)`
velocity of second particle at height h/2 is,
`v=sqrt(u^2-2g(h//2))`
`sqrt(gh-gh)=0`
or h/r is its highest point.
`:. T_2=u/g=sqrt(gh)/g=sqrt(h/g)`
rArr `t_1=t_2`
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