The wavelength of light and its frequency in air are 6000 Aº and 5 x 10¹⁴ Hz respectively. Calculate the frequency of light in water.pls solve ASAP
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The wavelength of light and its frequency in air are 6000 Aº and 5 x 10¹⁴ Hz respectively. Calculate the frequency of light
Answer:
The correct option is A
5
×
10
14
H
z
,
4000
A
∘
While travelling from one medium to other, frequency of light remains same.
λ
1
=
6000
A
∘
We know,
μ
2
μ
1
=
λ
1
λ
2
or,
1.5
1
=
6000
A
∘
λ
2
∴
λ
2
=
6000
(
3
2
)
=
4000
A
∘
Explanation:
In air velocity of light is 3×10
8
m/s and wavelength is 6000A
o
=6000×10
−10
m
We know that c=λ×f , f=frequency
3×10
8
=6000×10
−10
×f
f=5×10
14
Hz
We know that refractive index n=
velocityoflightinmedium
velocityoflightinvacuum
=
v
c
Here c=3×10
8
m/s
So 1.5=
v
3×10
8
⟹v=2×10
8
m/s
Since frequency does not change when light enters from one medium to other.
v=λf
2×10
8
=λ×5×10
14
λ=4×10
−7
m=4000A
o
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