Gravitation 5 Question 2
2. The mass and the diameter of a planet are three times the respective values for the earth. The period of oscillation of a simple pendulum on the earth is . The period of oscillation of the same pendulum on the planet would be
(a)
(b)
(c)
(d)
Show Answer
Answer:
Correct Answer: 2. (c)
Solution:
- Period of motion of a pendulum is given by
On the surface of earth, let period of motion is
On the another planet, let period of motion is
(
From Eqs. (ii) and (iii),
Now,
Given,
From Eqs. (iv) and (v),
or