In Melde's exprtiment, the string vibrates in 4 loops when a weight of 50 gram is placed in the pan of weight 13 gram. How much weiight should be removed from the pan, to make the string vibrate in 6 loops ?

Options

A. 28 gram
B. 35 gram
C. 40 gram
D. 42 gram

Answer

B

Explanation

`P_(1)^(2) xx T_(1) = P_(2)^(2) xx T_(2) `
` 4^(2)xx (50 + 13) = 6^(2) xx T_(2) :. 16 xx 63 = 36 xx T_(2) `
` :. T_(2) = (16 xx 63)/36 = 28 ` gr. wt
` :. ` The weight that should be removed `(63 - 28) = 35` gr. Wt.