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COMEDK Exam 2022 Solved Paper
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© examsnet.com
Question : 47
Total: 180
A source of sound emits sound waves at frequency
f
0
. It is moving towards an observer with fixed speed
v
s
(
v
s
<
v
.
, where
v
is the speed of sound in air.) If the observers were to move towards the source with speed
v
0
, one of the following two graphs
(
A
and
B
)
will give the correct variation of the frequency
f
heard by the observer as
v
0
is change
The variation of
f
with
v
0
is given correctly by
graph
A
with slope
=
f
0
(
v
+
v
s
)
graph
B
with slope
=
f
0
(
v
−
v
s
)
graph
A
with slope
=
f
0
(
v
−
v
s
)
graph
B
with slope
=
f
0
(
v
+
v
s
)
Validate
Solution:
According to Doppler's effect, the apparent frequency of sound when both source and observer are moving towards each other
⇒
f
=
(
v
+
v
0
)
f
0
(
v
−
v
0
)
⇒
f
=
(
v
v
−
v
s
)
f
0
+
(
v
0
v
−
v
s
)
f
0
⇒
f
=
(
f
0
v
−
v
s
)
v
0
+
(
f
0
v
−
v
s
)
v
Equation of straight line,
y
=
m
x
+
c
which is equation of straight line making an intercept
c
on
Y
-axis,
Slope of the graph
=
f
0
v
−
v
s
and intercept
=
v
f
0
v
−
v
s
This condition is represented in graph A plotted between
f
and
v
0
.
Hence, option (c) is correct.
© examsnet.com
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