Solveeit Logo
Login

Question

Question: A uniform spring of spring constant k is cut into two pieces whose lengths are in the ratio 1 : 2. T...

A uniform spring of spring constant k is cut into two pieces whose lengths are in the ratio 1 : 2. The ratio of frequencies of oscillations in the vertical direction when mass m each is suspended from the smaller and the larger pieces of the spring is –

A

12\frac { 1 } { \sqrt { 2 } }

B

2\sqrt { 2 }

C

12\frac { 1 } { 2 }

D

2

Answer

12\frac { 1 } { \sqrt { 2 } }

Explanation

Solution

Also ℓ2ℓ1\frac { \ell _ { 2 } } { \ell _ { 1 } } = 2

Solving k1 = , k2 = 3k

n1 = 12π\frac { 1 } { 2 \pi } 12π\frac { 1 } { 2 \pi }