A stationary source emits sound waves of frequency 500 HZ. Two observes moving along a line passing through the source detect sound to be of frequencies 480 Hz and 530Hz. Their respective speeds are, in ms−1 (Given speed of sound = 300 m/s)
(a)
12, 16
(b)
16, 14
(c)
8 ,18
(d)
12, 18
A stationary source emits sound waves of frequency 500 HZ. Two observes moving along a line passing through the source detect sound to be of frequencies 480 Hz and 530Hz. Their respective speeds are, in ms−1 (Given speed of sound = 300 m/s)
(a)
12, 16
(b)
16, 14
(c)
8 ,18
(d)
12, 18
Question ID - 51327 | SaraNextGen Top Answer
A stationary source emits sound waves of frequency 500 HZ. Two observes moving along a line passing through the source detect sound to be of frequencies 480 Hz and 530Hz. Their respective speeds are, in ms−1 (Given speed of sound = 300 m/s)
(a)
12, 16
(b)
16, 14
(c)
8 ,18
(d)
12, 18
|
A stationary source emits sound waves of frequency 500 HZ. Two observes moving along a line passing through the source detect sound to be of frequencies 480 Hz and 530Hz. Their respective speeds are, in ms−1 (Given speed of sound = 300 m/s) |
|||
|
(a) |
12, 16 |
(b) |
16, 14 |
|
(c) |
8 ,18 |
(d) |
12, 18 |
Frequency of sound source (f0) = 500 Hz
When observer is moving away from the source
Apparent frequency f1= 480 = f0
… (i)
And when observer is moving towards the source f2= 530 f0 
…(ii)
From equation (i)
480 = 500 
= 12 m/s
From equation (ii)
530 =500 
= 18m/s