A source of sound is travelling with a velocity of 30 m/s towards a stationary observer. If actual frequency of source is 1000 Hz and the wind is blowing with velocity 20 m/s in a direction at 60 ∘ with the direction of motion of source, then the apparent frequency heard by observer is (speed of sound is 340 m/s) Options: A . &nbsp 1011 Hz B . &nbsp 1000 Hz C . &nbsp 1094 Hz D . &nbsp 1086 Hz

Answer: Option C : C f = ( v + v m v + v m − v s o u r c e ) 1000 = ( 340 + 20 c o s 60 ∘ 340 + 20 c o s 60 ∘ − 30 ) 1000 =1094 Hz

A source of sound is travelling with a velocity of 30 m/s towards a stationary

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A source of sound is travelling with a velocity of 30 m/s towards a stationary observer. If actual frequency of source is 1000 Hz and the wind is blowing with velocity 20 m/s in a direction at $60^{\circ}$ with the direction of motion of source, then the apparent frequency heard by observer is (speed of sound is 340 m/s)

Options:

A . 1011 Hz

B . 1000 Hz

C . 1094 Hz

D . 1086 Hz

Answer: Option C
:
C

f = (\frac{v + v_{m}}{v + v_{m} - v_{s o u r c e}}) 1000

= (\frac{340 + 20 c o s 60^{\circ}}{340 + 20 c o s 60^{\circ} - 30}) 1000

=1094 Hz

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