A traveller stands at point between two tall

PHYSICS · Multi-part · CBSE · Physics · Sound · Sound

Problem

A traveller stands at point

P

between two tall, parallel cliffs

A

and

B

. In calm air he fires a pistol and hears two separate echoes. The first echo is heard

1.0\,\text{s}

after the shot, and the second echo is heard

1.6\,\text{s}

after the shot. The speed of sound in the valley may be taken as

320\,\text{m/s}

. (i) Find the distance of cliff

A

(the nearer cliff) from point

P

. (ii) Find the distance of cliff

B

(the farther cliff) from point

P

. (iii) Determine the distance between the two cliffs. (iv) If the traveller now walks

40\,\text{m}

straight towards cliff

A

and fires again from the new position, calculate the new time interval between the two echoes.