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JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Critical Thinking

  • question_answer
    X-rays of wavelength 0.1 Å allowed to fall on a metal get scattered. The wavelength of scattered radiation is 0.111 Å. If h = 6.624 \[\times \]10?34 J-s and m0 = 9 \[\times \]10?31 kg, then the direction of the scattered photons will be

    A)            cos?1 (0.547)                         

    B)            cos?1 (0.4484)

    C)            cos?1 (0.5)                              

    D)            cos?1 (0.3)

    Correct Answer: A

    Solution :

                       Direction of scattered photon \[\cos \varphi =1-\frac{\Delta \lambda {{m}_{e}}c}{h}\]                    Here \[\Delta \lambda =0.011\,\,{\AA}\]                    \[\therefore \,\,\cos \varphi =1-\frac{0.011\times {{10}^{-10}}\times 9.1\times {{10}^{-31}}\times 3\times {{10}^{8}}}{6.624\times {{10}^{-34}}}\]                                 \[=1-0.453=0.547\]                    \[\therefore \,\,\varphi ={{\cos }^{-1}}\,(0.547)\]


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