A particle is moving in a circular path with a constant speed. If `theta` Is the angular displacement, then starting from `theta=0` , the maximum and minimum change in the linear momentum will occur when value of `theta` is respectively

Options

A. ` 45^@ ` and ` 90^@`
B. ` 90^2` and ` 180^@`
C. ` 180^@` and 360^@`
D. 90^@`and ` 270^@`

Answer

C

Explanation

When ` theta = 180^@` , the particle will bw at diametrically opposite point , where its velocity is opposite to the initial direction of motion . The change in momentum ` = mv - ( - mv) = 2 , (max). When momentium ` mv= 0 (minimum)`.