A car moves in positive y-direction with velocity v proportional to distance travelled y as `v(y) prop y^(beta)`, where `beta` is a positive constant. The car covers a distance L with average velocity `lt v gt` proportional to L as `lt v gt prop L^(1//3)`, The constant `beta` is given as

Options

A. `1/4`
B. `1/3`
C. `2/3`
D. `1/2`

Answer

B

Explanation

Given that ,
`v(y) prop^(beta)" "…(1)`
`v prop L^(1//3) " "…(2)`
On compairing (1) & (2),
`beta = 1//3`