Question

If the length of a simple pendulum is halved its time period will become

Answer 1

Hi Mate!!!

T1 = k √L


T2 = k √ ( L / 2 )

Dividing both the question

T1 : T2 = √2

T2 = T1 / √2

Answer 2

If the length of a simple pendulum is halved its time period will become decreased by a factor of 2.

• So the period of a pendulum is directly proportional to the square root of its length.
• So, if the length increases, its time period also increases. It means that it takes longer to complete one oscillation.
• So when its length is halved, its time period is decreased by a factor of 2.

• Time taken is, T=2π√l/g
• l is the length of the pendulum and g is the Earth's gravity.
• length is halved then, T1=2π√l/2g
• So T1/T = 1/√2

So the time period is decreased by a factor of 2

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