A wire is attached to a pan of mass 200 g that contains a 2.0 kg mass as shown in the figure. When plucked, the wire vibrates at a fundamental frequency of 220 Hz. An additional unknown mass M is then added to the pan and a fundamental frequency of 260 Hz is detected. What is the value of M?
.

Answer

C

Explanation

`f prop (sqrt T)`
`:. f_1/f_2 = sqrt (T_1/T_2)`
or ` 220/260 = sqrt(2.2g)/((2.2 + M)g)`
Solving we get,
M=0.873 kg.