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

  • question_answer
    A star is moving towards the earth with a speed of \[4.5\times {{10}^{6}}\]m/s. If the true wavelength of a certain line in the spectrum received from the star is\[5890\,\,{AA}\], its apparent wavelength will be about \[[c=3\times {{10}^{8}}m/s]\]                             [MP PMT 1999]

    A) \[5890\,\,{AA}\]

    B) \[5978\,\,{AA}\]

    C) \[5802\,\,{AA}\]               

    D) \[5896\,\,{AA}\]

    Correct Answer: C

    Solution :

    \[\lambda '=\lambda \left( 1-\frac{v}{c} \right)=5890\,\left( 1-\frac{4.5\times {{10}^{6}}}{3\times {{10}^{8}}} \right)\]\[\approx 5802\,\,{AA}\]


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