JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Question Bank Self Evaluation Test - Structure of Atom

  • question_answer
    If the de-Broglie wavelength of a particle 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 :

    [b] Let wavelength of particle be x So, velocity \[\left( v \right)=\frac{x}{100}\] \[\lambda =\frac{h}{mv};\,x=\frac{h\times 100}{m\times x}\] \[{{x}^{2}}=100\frac{h}{m}\]       or            \[x=10\sqrt{\frac{h}{m}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner