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BITSAT 2018 Slot 2 Solved Paper
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© examsnet.com
Question : 6
Total: 150
A train moves towards stationary observer with speed
34
m
∕
s
. The train blows whistle and its frequency is registered by the observer as
f
1
. If the train's speed is reduced to
17
m
∕
s
, the frequency registered is
f
2
. If the speed of sound is
340
m
∕
s
, then the ratio
t
1
f
2
is
19
18
18
19
2
1
∕
2
Validate
Solution:
According to Doppler’s effect, the approximate frequency heard by the stationary observer,
v
=
v
v
−
v
s
v
0
Case (i)
v
s
=
34
m
∕
s
where,
v
=
speed of sound in air,
u
s
=
speed of source
and
v
0
=
frequency of the source.
∴
v
1
=
340
340
−
34
v
0
=
340
306
v
0
.........(i)
Case (ii)
v
s
=
17
m
∕
s
∴
v
2
=
340
340
−
17
v
0
=
340
323
v
0
........(ii)
From Eqs. (i) and (ii), we get
∴
v
1
v
2
=
340
∕
306
340
∕
323
⇒
323
306
≈
19
18
© examsnet.com
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