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A spectral line of a certain star is obs...

A spectral line of a certain star is observed to be "red shifted" from a wavelength of 500 nm to a wavelength of 1500 nm. Interpreting this as a Doppler effect, the speed of recession of this star is

A

0.33c

B

0.50c

C

0.71c

D

0.8c

Text Solution

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The correct Answer is:
D
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The spectral line emitted by a star, known to have a wavelength of 6500 Å.What is the speed of the star in the line of sight relative to the earth ? Is the star approaching or receding ? Speed of light in air =3xx10^(8) ms^(-1) .

The spectral line for a given element in light received from a distant star is shifted towards longer wavelength by 0.024% . Deduce the velocity of star in the line of sight.

Knowledge Check

  • Light coming from a star is observed to have a wavelength of 3737 Å , while its real wavelength is 3700 Å . The speed of the star relative to the earth is [Speed of light 3 xx 10^(8) m//s ]

    A
    `3 xx 10^(5) m//s`
    B
    `3 xx 10^(6) m//s`
    C
    `3.7 xx 10^(7) m//s`
    D
    `3.7 xx 10^(6) m//s`
  • In Young's double-slit experiment, 12 fringes are obtained on a certain segment of the screen when light of wavelength 600 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed on the same segment of the screen is given by

    A
    18
    B
    24
    C
    30
    D
    36
  • Due to Doppler effect, the shift in wavelength observed is 01 Å, for a star producing a wavelength 600 Å . The velocity of recession of the star will be:

    A
    `20 kms^(-1)`
    B
    `2.5 kms^(-1)`
    C
    `10 kms^(-1)`
    D
    `5 kms^(-1)`
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