Question

A pendulum suspended from the roof of an elevator at rest has a time period $T_{1}$, when the elevator moves up with an acceleration $a$ its time period becomes $T_{2}$, when the elevator moves down with an acceleration $a$, its time period becomes $T_{3}$, then

• A. $T_{1}=\sqrt{\left(T_{2} T_{3}\right)}$
• B. $T_{1}=\sqrt{\left(T_{2}^{2}+T_{3}^{2}\right)}$
• C. $T_{1}=\frac{\sqrt{2} T_{2} T_{3}}{\sqrt{T_{2}^{2}+T_{3}^{2}}}$
• D. none of these

Answer 1

Answer: (C)

Correct answer is (c) $T_{1}=\frac{\sqrt{2} T_{2} T_{3}}{\sqrt{T_{2}^{2}+T_{3}^{2}}}$