J & K CET Engineering J and K - CET Engineering Solved Paper-2003

  • question_answer
    The dimensional formula of Planck's constant (h) is

    A)  \[[M{{L}^{-2}}{{T}^{-3}}]\]    

    B)  \[[M{{L}^{2}}{{T}^{-1}}]\]

    C)  \[[ML{{T}^{-2}}]\] 

    D)  \[[M{{L}^{-2}}{{T}^{-1}}]\]

    Correct Answer: B

    Solution :

    away from the coil (Lenz's law). Hence, acceleration of the falling magnet is less than g. From Planck's law, energy of a photon of frequency v is given by \[E=hv\] where h is Planck's constant. \[\therefore \]   Dimensions of \[h=\frac{Dimensions\text{ }of\text{ E}}{Dimensions\text{ }of\text{ v}}\] Dimensions of \[h=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[{{T}^{-1}}]}\] \[[M{{L}^{2}}{{T}^{-1}}]\]


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