[Solved] The 6563 A˚ Hα line emitted by hydrogen in a star is found to be red-shifted by 15 A˚. Estimate the speed with which the star is receding from the Earth. - Physics Part-II

The red-shift in the light is given by:λ′−λ=cvλ⇒v=λc(λ′−λ)Since, the change in wavelength is:λ′−λ=15A˚=15×10−10mv=6563×10−103×108×(15×10−10)From the given values, v=6.86×105ms−1

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Physics Part-II

Wave Optics

The 6563 {A} H_ line emitted by hydrogen in a star is found t

Physics Part-II

Class 12

NCERT

Chapter 1: Ray Optics and Optical Instruments

41 questions

Chapter 2: Wave Optics

30 questions

Estimate the distance for which ray optics is good approximation for an aperture of

4 mm

and wavelength

400 nm

The 6563

\overset{˚}{A}

H_{α}

line emitted by hydrogen in a star is found to be red-shifted by 15

\overset{˚}{A}

. Estimate the speed with which the star is receding from the Earth.

Explain how Corpuscular theory predicts the speed of light in a medium, say, water, to be greater than the speed of light in vacuum. Is the prediction confirmed by experimental deteration of the speed of light in water? If not, which alternative picture of light is consistent with experiment?

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Chapter 3: Dual Nature of Radiation and Matter

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Chapter 4: Atoms

23 questions

Chapter 5: Nuclei

38 questions

Chapter 6: Semiconductor Electronics: Materials, Devices and Simple Circuits

25 questions

Question

Easy

Solving time: 2 mins

The 6563 $\overset{˚}{A}$ $H_{α}$ line emitted by hydrogen in a star is found to be red-shifted by 15 $\overset{˚}{A}$ . Estimate the speed with which the star is receding from the Earth.

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Updated on: Oct 13, 2023

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Physics Part-II (NCERT)

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The 6563

\overset{˚}{A}

H_{α}

line emitted by hydrogen in a star is found to be red-shifted by 15

\overset{˚}{A}

. Estimate the speed with which the star is receding from the Earth.

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

The red-shift in the light is given by:

λ^{^{'}} - λ = \frac{v}{c} λ

\Rightarrow v = \frac{c}{λ} (λ^{'} - λ)

Since, the change in wavelength is:

λ^{^{'}} - λ = 15 \overset{˚}{A} = 15 \times 1 0^{- 10} m

v = \frac{3 \times 1 0 ^{8}}{6563 \times 1 0 ^{- 10}} \times (15 \times 1 0^{- 10})

From the given values,

v = 6.86 \times 1 0^{5} m s^{- 1}

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Practice more questions from Physics Part-II (NCERT)

Estimate the distance for which ray optics is good approximation for an aperture of

4 mm

and wavelength

400 nm

The 6563

\overset{˚}{A}

H_{α}

line emitted by hydrogen in a star is found to be red-shifted by 15

\overset{˚}{A}

. Estimate the speed with which the star is receding from the Earth.

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Question Text	The 6563 $\overset{˚}{A}$ $H_{α}$ line emitted by hydrogen in a star is found to be red-shifted by 15 $\overset{˚}{A}$ . Estimate the speed with which the star is receding from the Earth.
Updated On	Oct 13, 2023
Topic	Wave Optics
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 7
Upvotes	636
Avg. Video Duration	5 min

The 6563 $\overset{˚}{A}$ $H_{α}$ line emitted by hydrogen in a star is found to be red-shifted by 15 $\overset{˚}{A}$ . Estimate the speed with which the star is receding from the Earth.

Text solutionVerified

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The 6563 A˚ Hα​ line emitted by hydrogen in a star is found to be red-shifted by 15 A˚. Estimate the speed with which the star is receding from the Earth.

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The 6563 $\overset{˚}{A}$ $H_{α}$ line emitted by hydrogen in a star is found to be red-shifted by 15 $\overset{˚}{A}$ . Estimate the speed with which the star is receding from the Earth.