Gravitation Question 10
Question: The mass and diameter of a planet have twice the value of the corresponding parameters of earth. Acceleration due to gravity on the surface of the planet is[NCERT 1971; Pb. PMT 2000]
Options:
A) $ [9.8,m/{{\sec }^{2}}] $
B) $ [4.9,m/{{\sec }^{2}}] $
C) $ [980,m/{{\sec }^{2}}] $
D) $ [19.6,m/{{\sec }^{2}}] $
Show Answer
Answer:
Correct Answer: B
Solution:
$ [\frac{g’}{g}=\frac{M’}{M}{{\left( \frac{R}{R’} \right)}^{2}}=\left( \frac{2M}{M} \right)\ {{\left( \frac{R}{2R} \right)}^{2}}=\frac{1}{2}] $ Þ$ [{g}’=\frac{g}{2}=\frac{9.8}{2}=4.9\ m/s^{2}] $
