MHT CET20243 May 2024Evening ShiftPhysicsOscillationsActual
The period of a simple pendulum gets doubled when
Options
- Aits length is doubled.
- Bits length is made four times.
- Cits length is made half.
- Dthe mass of the bob is doubled.
Correct answer
B. its length is made four times.
Step-by-step solution
We know for a simple pendulum, aligned & T =2 l ~g ~T l & ~T ₁ ~T ₂ = l₁ l₂ aligned When l₂=4 l₁ , T ₁ ~T ₂ = l₁ 4 l₁ ~T ₂=2 ~T ₁ Period is doubled when length is made four times aligned & T ₁ 2 ~T ₁ = l₁ l₂ & 1 2 = l₁ l₂ 1 4 = l₁ l₂ l₂=4 l₁ aligned Period is doubled when length is made four times