An object of specific gravity is hung from a thin steel wire

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

An object of specific gravity

\rho

is hung from a thin steel wire. The fundamental frequency for transverse standing waves in the wire is

300

Hz. The object is immersed in water, so that one half of its volume is submerged. The new fundamental frequency (in Hz) is (JEE 1995) (1)

300 \left( \frac{2\rho - 1}{2\rho} \right)^{1/2}

(2)

300 \left( \frac{2\rho}{2\rho - 1} \right)^{1/2}

(3)

300 \left( \frac{2\rho}{2\rho - 1} \right)

(4)

300 \left( \frac{2\rho - 1}{2\rho} \right)