JEE Main & Advanced Sample Paper JEE Main Sample Paper-7

  • question_answer
    An \[\alpha -\]particle of mass 4.0026 amu has a velocity of 10% of the speed of light. What is its de-Broglie wavelength (in m)?

    A)  \[3.32\times {{10}^{-15}}m\]    

    B)  \[3.3\times {{10}^{-18}}m\]

    C)  \[3.7\times {{10}^{-16}}m\]                       

    D)  \[1.22\times {{10}^{-15}}m\]

    Correct Answer: B

    Solution :

    \[\lambda =\frac{h}{m\upsilon }\] \[=\frac{6.6\times {{10}^{-34}}\times 6.022\times {{10}^{23}}\times 100}{4.0026\times 3\times {{10}^{8}}\times 10}=3.3\times {{10}^{-18}}m\]


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