In a region of the ocean the speed of sound increases by for every rise in temperature

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

Problem

In a region of the ocean the speed of sound increases by

1.5\,\text{m s}^{-1}

for every

1^{\circ}\text{C}

rise in temperature. A sonar set is calibrated for

15^{\circ}\text{C}

water where it takes

v_0 = 1450\,\text{m s}^{-1}

. If the water temperature at a particular spot is

25^{\circ}\text{C}

and the round-trip time recorded for an ultrasonic pulse is

2.00\,\text{s}

, determine the actual depth of the water at that spot. (a)

1480\,\text{m}

(b)

2930\,\text{m}

(c)

1465\,\text{m}

(d)

1450\,\text{m}