Two simple pendulums have lengths and respectively

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

Problem

Two simple pendulums have lengths

1\,\text{m}

and

4\,\text{m}

respectively, both oscillating at the same place. Which of the following correctly gives the relation between their time periods

T_1

(for

1\,\text{m}

) and

T_2

(for

4\,\text{m}

)? (a)

T_2 = 4T_1

(b)

T_2 = \dfrac{T_1}{2}

(c)

T_2 = 2T_1

(d)

T_2 = 2\pi\,T_1