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← JEE Main 2022 · 25 Jul · Shift 2
PhysicsSingle correct+4 / -1Question 43 of 90

JEE Main 2022 · 25 Jul · Shift 2, Physics question 43

The length of a seconds pendulum at a height h=2Rh=2R from earth surface will be :

(Given R = Radius of earth and acceleration due to gravity at the surface of earth, g=π2g=\pi^2 ms−2^{-2})

Choose one option
Answer and worked solution

Official answer: D

At h = 2R g′=g9=π29g'=\frac g9=\frac{\pi^2}9. Seconds pendulum (T=2T=2 s): L=g′T24π2=19L=\dfrac{g'T^2}{4\pi^2}=\dfrac19 m.

(D)