Light of wavelength $500 n m$ traveling with a speed of $2.0 \times 10^{8} m s^{- 1}$ in a certain medium enters another medium of refractive index $5 / 4$ times that of the first medium. What are the wavelength and speed in the second medium?

400 n m, 1.6 \times 10^{8} m s^{- 1}

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400 n m, 2.5 \times 10^{8} m s^{- 1}

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500 n m, 2.5 \times 10^{8} m s^{- 1}

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625 n m, 1.6 \times 10^{8} m s^{- 1}

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Solution

The correct option is A $400 n m, 1.6 \times 10^{8} m s^{- 1}$
Wavelength is $λ_{m} = \frac{λ_{1}}{n} = \frac{500}{5 / 4} = 400 n m$
Speed is $v_{m} = \frac{v_{1}}{n} = \frac{2 \times 10^{8}}{5 / 4} = 1.6 \times 10^{8} m / s$
option $A$ is correct

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Similar questions

Q. If the speed of light in medium 1 and medium 2 are

2.5 \times 10^{8} m s^{- 1}

and

2 \times 10^{8} m s^{- 1}

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(Take the speed of light in air $= 3 \times 10^{8} m s^{- 1}$ )

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Q. The speed of light in air is 3 × 10⁸ m/s. In medium X its speed is 2 × 10⁸ m/s and in medium Y the speed of light is 2.5 × 10⁸ m/s Calculate:

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(b) _air n_Y
(c) _x n_Y

State the laws of refraction of light. If the speed of light in vacuum is $3 \times 10^{8} m s^{- 1}$ , find the speed of light in a medium of absolute refractive index 1.5

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Light of wavelength 500 nm traveling with a speed of 2.0×108ms−1 in a certain medium enters another medium of refractive index 5/4 times that of the first medium. What are the wavelength and speed in the second medium?

The correct option is A 400nm,1.6×108ms−1Wavelength is λm=λ1n=5005/4=400nmSpeed is vm=v1n=2×1085/4=1.6×108m/soption A is correct

Light of wavelength $500 n m$ traveling with a speed of $2.0 \times 10^{8} m s^{- 1}$ in a certain medium enters another medium of refractive index $5 / 4$ times that of the first medium. What are the wavelength and speed in the second medium?

The correct option is A $400 n m, 1.6 \times 10^{8} m s^{- 1}$
Wavelength is $λ_{m} = \frac{λ_{1}}{n} = \frac{500}{5 / 4} = 400 n m$
Speed is $v_{m} = \frac{v_{1}}{n} = \frac{2 \times 10^{8}}{5 / 4} = 1.6 \times 10^{8} m / s$
option $A$ is correct