Answer :
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'
[tex] \frac{T'}{T} = \sqrt{ \frac{g}{g'} } \\ \\ T'=T \sqrt{ \frac{g}{g'} } \\ \\ T'=T \sqrt{ \frac{g}{g/4} } \\ \\ T'=T \sqrt{4} =2T[/tex]
So the time period becomes 2 times the original time period.
Time period of a seconds' pendulum = 2s
New Time period = 2×2s = 4s
T α 1/√g
given that gravity falls to one-fourth.
g' = g/4
let original time period = T
final time period = T'
[tex] \frac{T'}{T} = \sqrt{ \frac{g}{g'} } \\ \\ T'=T \sqrt{ \frac{g}{g'} } \\ \\ T'=T \sqrt{ \frac{g}{g/4} } \\ \\ T'=T \sqrt{4} =2T[/tex]
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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