Answer:
The value of g = 0.6168 m/s².
Explanation:
Given that,
On a planet X,
Length of the pendulum(L) = 0.25 meters,
Time period of the pendulum(T) = 4 seconds.
We have to find the 'g' value on the planet.
The 'g' value on a planet can be found by a pendulum with help of the formula,
T = 2π × [tex]\frac{\sqrt{L} }{\sqrt{g} }[/tex]
From this, g = 4π² × [tex]\frac{L}{T^{2} }[/tex]
Using the above formula and substituting the values,we get,
g = 0.6168 m/s².