Question

The time period T of the moon of planet mars (mass ) is related to its orbital radius R as (G = Gravitational constant)

• A.
• B. $\mathrm { T } ^ { 2 } = \frac { 4 \pi ^ { 2 } \mathrm { GR } ^ { 3 } } { \mathrm { M } _ { \mathrm { m } } }$
• C.
• D. $\mathrm { T } ^ { 2 } = 4 \pi \mathrm { M } _ { \mathrm { m } } \mathrm { GR } ^ { 3 }$

Answer 1

Answer: (A)

Answer 2

Time period.

Where the symbols, have their meanings as given in the questions.

Squaring both sides, we get