Home / Aptitude Tests / Physics / Two strings of the s...

Two strings of the same length and under the same tension...

Two strings of the same length and under the same tension gives notes of frequencies in the ratio 4 : 1. The masses of the strings are in the corresponding ratio of

A.

2 : 1

B.

1 : 2

C.

1 : 4

D.

1 : 16

Correct answer is D

F = \(\frac{1}{2L}\)\(\sqrt\frac{T}{m}\)

\(\frac{F_1}{F_2}\) = \(\sqrt\frac{m_2}{m_1}\)

\(\frac{1}{4}\) = \(\sqrt\frac{m_2}{m_1}\)

\(\frac{m_2}{m_1}\) = \(\frac{1}{16}\)