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AIEEE 2008 Solved Paper
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© examsnet.com
Question : 51
Total: 104
While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of
18
cm
during winter. Repeating the same experiment during summer, she measures the column length to be
x
cm
for the second resonance. Then
18
>
x
x
>
54
54
>
x
>
36
36
>
x
>
18
Validate
Solution:
For first resonant length
v
=
v
4
ℓ
1
=
v
4
×
18
(in winter)
For second resonant length
v
′
=
3
v
′
4
ℓ
2
=
3
v
′
4
x
(in summer)
∴
v
4
×
18
=
3
v
′
4
×
x
∴
x
=
3
×
18
×
v
′
v
∴
x
=
54
×
v
′
v
cm
v
′
>
v
because velocity of light is greater in summer as compared to winter
(
v
∝
√
T
)
∴
x
>
54
cm
© examsnet.com
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