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AIIMS AIIMS Solved Paper-2014

  • question_answer
    If the de-Brogue wavelength of a particle of mass m is 100 times its velocity then its value in terms of its mass (m) and Planck's constant (h) is

    A)  \[\frac{1}{10}\sqrt{\frac{m}{h}}\]                           

    B) \[10\sqrt{\frac{h}{m}}\]

    C) \[\frac{1}{10}\sqrt{\frac{h}{m}}\]                            

    D) \[10\sqrt{\frac{m}{h}}\]

    Correct Answer: B

    Solution :

                    Let wavelength of particle be \[x\]. Volocity\[v=\frac{x}{100}\] \[\because \]     \[\lambda =\frac{h}{mv}\] \[\therefore \]  \[X=\frac{h\times 100}{m\times x}\] \[{{x}^{2}}=100\frac{h}{m}\] \[x=10\sqrt{\frac{h}{m}}\]


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