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Question: A sound wave of wavelength 90 cm in glass is refracted into air. If the velocity of sound in glass i...

A sound wave of wavelength 90 cm in glass is refracted into air. If the velocity of sound in glass is 5400 m/sec, the wavelength of the wave in air is –

A

55 cm

B

5.5 cm

C

55 m

D

5.5 m

Answer

5.5 cm

Explanation

Solution

Velocity = frequency × wavelength

In glass : 5400 × 100 = n × 90

or n =5400×10090\frac{5400 \times 100}{90}cps

In air: 330×100λ\frac{330 \times 100}{\lambda} = n =5400×10090\frac{5400 \times 100}{90}

l =330×100×905400×100\frac{330 \times 100 \times 90}{5400 \times 100}= 5.5 cm