A cork suspended from the bottom of a container filled with water with a string as shown in figure. If the container accelerates in a horizontal direction towards right, which one is correct?

Options

A. Inclination of string with vertical is `tan^(-1)` (a/g) towards left
B. Inclination of the string with is `tan^(-1)` (a/g) towards right
C. Inclination of the string with vertical is `[pi//2-tan^(-1)(a//g)]` towards left
D. Inclination of the string with vertical is `[pi//2-tan^(-1)(a//g)]` towards right

Answer

D

Explanation

`Y = (c )/(6)t^(6)implies V = (dy)/(dt) = Ct^(5)`
`a = (dv)/(dt) = 5Ct^(4)`
`(a)/(v) = (5)/(t)`
So, at t = 5 sec, `(a)/(v) = 1 implies a = v`