Q. Statement I Three pendulums are suspended from ceiling as shown in Fig. These three pendulums are set to oscillate as shown by arrows, and it is found that all three have same time period. Now, all three are taken to a place where acceleration due to gravity changes to 4/9th of its value at the first place. If spring pendulum makes 60 cycles in a given time at this place, then torsion pendulum and simple pendulum will also make 60 oscillation in same (given) time interval. Statement II: Time period of torsion pendulum is independent of acceleration due to gravity.

Options

A. Statement-I is true, Statement-Ii is true, Statement-II is a correct explanation for Statement-I.
B. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanantion for Statement-I.
C. Statement-I is true, Statement-II is false
D. Statement-I is false, Statement-II is true

Answer

D

Explanation

`T_(1) =2pi sqrt((l)/(g)), T_(2) = 2pi sqrt((m)/(k)), T_(3) = 2pi sqrt((I)/(c ))`, only `T_(1)` depends on place where oscillations have been taken: