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← JEE Main 2022 · 29 Jul · Shift 2
PhysicsInteger+4 / -1Question 57 of 90

JEE Main 2022 · 29 Jul · Shift 2, Physics question 57

The metallic bob of simple pendulum has the relative density 5. The time period of this pendulum is 10 s. If the metallic bob is immersed in water, then the new time period becomes 5x5\sqrt x s. The value of xx will be _______.

Answer and worked solution

Official answer: 5

Buoyancy reduces g to g(1−15)=0.8gg\left(1-\frac15\right)=0.8g: T′=100.8=55T'=\dfrac{10}{\sqrt{0.8}}=5\sqrt5 s.

Answer: 5