Question

If a 1 metre pendulum has a time period of 2 seconds , what should be the length of a pendulum of time period 4 seconds​

Answer 1

If a 1m pendulum has a time period of 2s , what should be the length of a pendulum of time period 4s ...

solution : we know, time period of simple pendulum, T = 2π√(l/g), where l is length of pendulum, g is acceleration due to gravity and T is time period.

case 1 : l = 1m, T = 2s

so, time period, 2s = 2π√(1/g).....(1)

case2 : time period, T' = 4s

so, T' = 4s = 2π√(l'/g) .....(2)

from equations (1) and (2),

T/T' = 2s/4s = √(1/l')

or, 1/2 = √(1/l')

or, 1/4 = 1/l'

or, l' = 4m

hence, length of the pendulum must be 4m.

Answer 2

Answer:

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