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RAJASTHAN PMT Rajasthan - PMT Solved Paper-1996

  • question_answer
    A star is receding from earth with velocity \[{{10}^{6}}m/s\]. If the wavelength of one of its spectral lines is\[5700\overset{o}{\mathop{\text{A}}}\,\], the observed Doppler shift will be:

    A)  \[200\overset{o}{\mathop{\text{A}}}\,\]                           

    B)         \[19\overset{o}{\mathop{\text{A}}}\,\]                              

    C)         \[20\overset{o}{\mathop{\text{A}}}\,\]                                              

    D)         \[0.2\overset{o}{\mathop{\text{A}}}\,\]

    Correct Answer: B

    Solution :

    Doppler displacement \[\Delta \,\lambda =\frac{\upsilon }{c}\lambda \] \[=\frac{{{10}^{6}}}{3\times {{10}^{8}}}\times 5700\] \[=19\overset{\text{o}}{\mathop{\text{A}}}\,\]


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