Question

As the temperature is increased, the time period of a pendulum:

• A. increases as its effective length increases due to shifting of center of mass below the center of the bob.
  
• B. decreases as its effective length remains same but the center of mass shifts above the center of the bob
  
• C. decreases as its effective length increases even though its center of mass still remains at the center of the bob.
  
• D. increases as its effective length increases even though its center of mass still remains at the center of the bob.
  

Answer 1

The correct option is D increases as its effective length increases even though its center of mass still remains at the center of the bob.



The time period of the simple pendulum is given by,

$T=2\pi \sqrt{\frac{L}{g}}$ …(i)

where L is the effective length of the pendulum.

Therefore, with an increase in temperature, the effective length L of the simple pendulum increases even though its center of mass still remains at the center of the bob.

From(i),

$T\propto \sqrt{L}$

So, Time period T of simple pendulum increases as temperature increases.

Final Answer: Option (a)