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VITEEE 2009 Paper
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© examsnet.com
Question : 1
Total: 120
PART - I (PHYSICS)
When a wave transverses a medium the displacement of a particle located at x at a time t is given by y = a sin (bt-cx). Where a , b and c are constants of the wave. Which of the following is a quantity with dimensions?
y
a
bt
cx
b
c
Validate
Solution:
Here, y = a sin (bt-cx)
Comparing this equation with general wave equation
y
=
a
‌
sin
(
2
Ï€
t
T
−
2
Ï€
x
λ
)
we get
b
=
2
Ï€
T
,
c
=
2
Ï€
λ
(a) Dimensions of
y
a
=
[
L
]
[
L
]
=
Dimensionless
(b) Dimensions of
bt
=
2
Ï€
T
.
t
=
[
T
]
[
T
]
=
Dimensionless
(c) Dimensions of
cx
=
2
Ï€
λ
.
x
=
[
L
]
[
L
]
=
Dimensionless
(d) Dimensions of
b
c
=
2
Ï€
T
2
Ï€
λ
=
λ
T
=
[
LT
−
1
]
© examsnet.com
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