A solid sphere of mass `m` and radius `R` is kept over a rough ground. A time varying force `F=2t` is acting at the topmost point as shown in figure.
(a). Find angular momentum of the sphere about the bottommost point as a function of time `t`
(b). Does this result depend on the fact whether the ground is rough or smooth?

Options

A. `(r^(2)t^(2))/(R )`
B. `(R+r)^(2)/(r )t^(2)`
C. `(R+r)t^(2)`
D. `(R^(2)t^(2))/(r )`

Answer

A

Explanation

`vprop(1)/(n)" ", " "p=mvprop(1)/(n)" ", " "lambda=(h)/(p)propn`
i.e. `lambda` is quantized because `p prop (1)/(n)`