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For the wave with in metres and in seconds
PHYSICS · Single correct · CBSE · Physics · Waves · Waves
Problem
For the wave
y
=
0.01
sin
(
k
x
−
ω
t
)
y=0.01\sin(kx-\omega t)
y
=
0.01
sin
(
k
x
−
ω
t
)
with
x
x
x
in metres and
t
t
t
in seconds, which one of the following pairs gives permissible SI units for
k
k
k
and
ω
\omega
ω
respectively so that the argument of the sine function is dimensionless? (a)
m
−
1
,
s
\text{m}^{-1},\; \text{s}
m
−
1
,
s
(b)
m
,
s
−
1
\text{m},\; \text{s}^{-1}
m
,
s
−
1
(c)
m
−
1
,
s
−
1
\text{m}^{-1},\; \text{s}^{-1}
m
−
1
,
s
−
1
(d)
m
,
s
\text{m},\; \text{s}
m
,
s
Related theory
Wave Description
Waves
Transverse and longitudinal waves
Wavelength and angular wave number
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