Consider a simple pendulum of length and bob inertial mass oscillating near Earth’s…

PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations

Problem

Consider a simple pendulum of length

L

and bob inertial mass

m_i

oscillating near Earth’s surface. If the ratio

\dfrac{m_g}{m_i}=k \neq 1

, which expression gives the period

T

of small oscillations? (a)

T = 2\pi k\,\sqrt{\dfrac{L}{g}}

(b)

T = 2\pi\sqrt{\dfrac{L}{g}}

(c)

T = 2\pi\sqrt{\dfrac{L}{k g}}

(d)

T = 2\pi\sqrt{\dfrac{k L}{g}}