RAJASTHAN ­ PET Rajasthan PET Solved Paper-2006

  • question_answer
    A star of emitting radiation 5000\[\overset{o}{\mathop{\text{A}}}\,\]is coming towards the earth with velocity\[1.5\times {{10}^{6}}m/s\]. The change of wavelength of radiation on earth will be

    A)  250\[\overset{o}{\mathop{\text{A}}}\,\]           

    B)  25\[\overset{o}{\mathop{\text{A}}}\,\]

    C)  2.5\[\overset{o}{\mathop{\text{A}}}\,\]             

    D)  zero

    Correct Answer: B

    Solution :

     \[\frac{\lambda '}{\lambda }=1-\frac{v}{c}\] \[\Rightarrow \] \[\lambda '=\left( 1-\frac{v}{c} \right)\lambda \] \[=\left( 1-\frac{1.5\times {{10}^{6}}}{3\times {{10}^{8}}} \right)\times 5000\] \[=4975\overset{o}{\mathop{\text{A}}}\,\] Change in wavelength\[=5000-4975=25\overset{o}{\mathop{\text{A}}}\,\]


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