The speed of sound in air varies with temperature according to

PHYSICS · Single correct · CBSE · Physics · Sound · Sound

Problem

v = 331 + 0.6T

, where

v

is in

\text{m/s}

and

T

^{\circ}\text{C}

. On a day when the air temperature is

25^{\circ}\text{C}

, a student shouts and hears the echo

0.50\,\text{s}

later from a cliff. What is the distance of the cliff from the student? (a)

173\,\text{m}

(b)

86.5\,\text{m}

(c)

127\,\text{m}

(d)

82.8\,\text{m}