Kepler stated that the areal velocity of a planet remains constant. What are the units and dimensions of areal velocity?

Options

A. `m//s[M^(0)L^(1)T^(-2)]`
B. `m^(2)//s[M^(0)L^(2)T^(-1)]`
C. `m^(2)//s[M^(0)L^(2)T^(2)]`
D. `m//s[M^(0)L^(1)T^(-1)]`

Answer

b

Explanation

Areal velocity is the area swept out by the planet per unit time. It is measured in `m^(2)//s` and its dimensional formula is
[Areal velocity] `=[("Area")/("time")]=[M^(0)L^(2)T^(-1)]`