Please help me with the following question.

Dear Student,
A Seconds' pendulum is a pendulum whose time period T = 2s.
Time period of a pendulum is given by:
T=2πlg
So, the length of the Second's pendulum can be determined as:
T=2πlgSquaring we get,T2=4π2lgl=T2g4π2=4g4π2
If the acceleration due to gravity falls to 1/4th, i.e., g' = g/4
Then, the new time period would be:

T'=2πlg'T'=2πlg'=2π2g4π2g'=2π4g×44π2g=2π4π2=2×2s=4s

Thus,the new time period will be twice the original time period value.
Regards

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dear friend,
Time period of a pendulum is inversely proportional to the square root of acceration due to gravity.

T α 1/√g

given that gravity falls to one-fourth.
g' = g/4
let original time period = T
final time period = T'

A seconds' pendulum is taken to a place where acceleration due to gravity  falls to one-fourth. How is the time period of the pendulum affected, if at  all? Give reason. What will

So the time period becomes 2 times the original time period.

Time period of a seconds' pendulum = 2s
New Time period = 2×2s = 4s

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Dear friend,
seconds pendulum is taken to a place where acceleration due to gravity  falls to one fourth how is the - Brainly.in

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