JEE Main & Advanced AIEEE Solved Paper-2003

  • question_answer
    The de-Broglie wavelength of a tennis ball of mass 60g moving with a velocity of 10 m/s is approximately (Planck's constant, \[h=6.63\times {{10}^{-34}}\] Js)     AIEEE  Solved  Paper-2003

    A) \[{{10}^{-33}}\] m

    B)                       \[{{10}^{-31}}\] m                           

    C)  \[{{10}^{-16}}\]m          

    D)        \[{{10}^{-25}}\] m

    Correct Answer: A

    Solution :

       \[\lambda =\frac{h}{mv}\] Given,       \[h=6.63\times {{10}^{-34}}Js\] or  \[h=6.63\times {{10}^{-34}}kg\,{{m}^{2}}{{s}^{-1}}\]  \[(\therefore J=kg\,{{m}^{2}}{{s}^{-2}})\] or                \[h=6.63\times {{10}^{-31}}g\,{{m}^{2}}{{s}^{-1}}\]                     m = 60g                     v = 10m/s Thus          \[\lambda =\frac{6.63\times {{10}^{-31}}}{60\times 10}\]                 \[=1.105\times {{10}^{-33}}m\]      


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