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JEE Advanced Model Paper 12 with solutions for online practice
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© examsnet.com
Question : 16
Total: 60
A car moves towards a hill with speed
V
c
. It blows a horn of frequency ’f’ which is heardby an observer following the car with speed
V
0
. The speed of sound in air is 'V'
The wavelength of sound reaching the hill is
V
f
The wavelength of sound reaching the hill is
V
−
V
c
f
The beat frequency observed by the observer is
2
V
c
(
V
+
V
0
)
f
V
2
−
V
c
2
The wavelength of sound of horn directly reaching the observer is
V
+
V
c
f
Validate
Solution:
Frequency of horn directly heard by observer =
(
υ
+
υ
0
υ
+
υ
c
)
f . Frequency of echo, =
(
υ
υ
−
υ
c
)
∴ Frequency of echo of horn as heard by the observer =
(
υ
+
υ
c
υ
)
(
υ
υ
−
υ
c
)
f =
(
υ
+
υ
c
υ
−
υ
c
)
f
frequency of beats, “n . Wavelength of sound reaching the hill. Wavelength of sound of horn directly reaching the observer
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