Gravitation Question 7
Question: A body weighs 700 gm wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass is $ [\frac{1}{7}] $ and radius is half that of the earth [CMC Vellore 1984; AFMC 2000]
Options:
A) 200 gm wt
B) 400 gm wt
C) 50 gm wt
D) 300 gm wt
Show Answer
Answer:
Correct Answer: B
Solution:
We know that $ [g=\frac{GM}{R^{2}}] $
On the planet $ [g_{p}=\frac{GM/7}{R^{2}/4}=\frac{4g}{7}=\frac{4}{7}g] $
Hence weight on the planet $ [=700\times \frac{4}{7}=400,,gm,wt] $