An Indian submarine is moving in “Arab Sagar” with a constant velocity. To detect enemy it sends out sonar waves which travel with velocity 1050 m/s in water. Initially the waves are getting reflected from a fixed island and the reflected waves are coming back to submarine. The frequency of reflected waves are detected by the submarine and found to be 10% greater than the sent waves.
Now an enemy ship comes in front, due to which the frequency of reflected waves detected by submarine becomes 21% greater than the sent waves.
(i) The speed of Indian submarine is
Text Solution
Verified by ExpertsCHECK THE SOLUTION
(i)
Sol. 
f× = f 0 
, v = 1050 
= 0.1
v 1 = 50 m/sec.
(ii)
Sol. 
f× = f´ 
, f’ = f 0 
f× = f 0 
= 1.21f 0 [21% greater then sent waves]
get v 2 = 50 m/sec toward Indian submarine
(iii)
Sol. λ´ = 
= 
λ× = 
= 
= 
= 
= 1.1
(iv)
Sol. v = 
⇒ 1050 = 
B 
10 9 N/m 2
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