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Physics
Physics
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
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