Assertion: A particle is rotating in a circle with constant speed as shown. Between point `A` and `B` , ratio of average acceleration and average velocity is angular velocity of particle about point `O` .
Reason: Since speed is constant, angular velocity is also constant.

Options

A. If 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, true but the Reason is false.
D. If Assertion is false but the Reason is true.

Answer

B

Explanation

`A` to `B` , `S=sqrt(2)R`
and `|Deltav|=sqrt(v^(2)+v^(2)-2v.vcos90^(@))`
`sqrt(2)v`
Average acceleration `=(|Deltav|)/(t)=(sqrt(2)v)/(t)`
And average velocity `=(S)/(t)=(sqrt(2)R)/(t)`
The desired ratio is `(v)/(R)=omega`