For a planet, the graph of `T^(2)` against `r^(3)` is plotted. The slope of the graph is

Options

A. `4pi GM`
B. `(4pi^(2))/(GM)`
C. `(GM)/(4pi^(2))`
D. `(GM)/(4pi)`

Answer

B

Explanation

The graph of `T^(2)` against `r^(3)` is a straightline.
`because T^(2)=(4pi^(2)r^(3))/(GM) therefore (T^(2))/(r^(3))=" Slope " = (4 pi^(2))/(GM)`