JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank Doppler's Effect of Light

  • question_answer
    In the spectrum of light of a luminous heavenly body the wavelength of a spectral line is measured to be 4747 Å while actual wavelength of the line is 4700 Å. The relative velocity of the heavenly body with respect to earth will be (velocity of light is \[3\times {{10}^{8}}m/s\])                                                             [MP PMT/PET 1998]

    A)            \[3\times {{10}^{5}}m/s\]moving towards the earth

    B)            \[3\times {{10}^{5}}m/s\]moving away from the earth

    C)            \[3\times {{10}^{6}}m/s\]moving towards the earth

    D)            \[3\times {{10}^{6}}m/s\]moving away from the earth

    Correct Answer: D

    Solution :

                       \[\Delta \lambda =\frac{{{v}_{s}}}{c}\lambda \Rightarrow {{v}_{s}}=\frac{\Delta \lambda .c}{\lambda }=\frac{47\times 3\times {{10}^{8}}}{4700}\] \[=3\times {{10}^{6}}m/s\]away from earth


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