If a Second’s pendulum is moved to a planet where acceleration due to gravity is 4 times, the length of the second’s pendulum on the planet should be made

Question

If a Second’s pendulum is moved to a planet where acceleration due to gravity is 4 times, the length of the second’s pendulum on the planet should be made (A) 2 times (B) 4 times (C) 8 times (D) 15 times

Tardigrade Admin · Accepted Answer

Time period of a pendulum T=2 π √(l/g) text or T2 √(l/g) If g becomes 4 times. l must also be increased by 4 times to keep T constant.

Q. If a Second’s pendulum is moved to a planet where acceleration due to gravity is $4$ times, the length of the second’s pendulum on the planet should be made

2 times

4 times

8 times

15 times

Time period of a pendulum
$T = 2 π \frac{l}{g} or T_{2} \frac{l}{g}$
If $g$ becomes $4$ times. $l$ must also be increased by 4 times to keep $T$ constant.

Q. If a Second’s pendulum is moved to a planet where acceleration due to gravity is 4 times, the length of the second’s pendulum on the planet should be made