In Melde's experiment, the string vibrates in 4 loops when a 50 gram weight is placed in the pan of weight 15 gram . To make the string to vibrates in 6 loops the weight that has to be removed from the pan is

Options

A. 0.0007 kg wt
B. 0.0021kg wt
C. 0.0036 kg wt
D. 0.0029kg wt

Answer

C

Explanation

`P_1 = 4, m_1=50g, m_0=15g, P_2=6, m_2=?`
`P_1T_1^2 = P_2T_2^2`
`16xx(50+15) = 36xxm_2`
`16xx65 = 36m_2`
`m_2 = (65xx4)/(9) = 260/9`
`m_2 = 28.98`
`m_1-m_2 = 65 - 28 = 36 gm` wt