J & K CET Medical J & K - CET Medical Solved Paper-2000

  • question_answer
    Which of the following is dimensionless?

    A)  Universal gravitational constant

    B)  Relative permittivity

    C)  Relative velocity

    D)  Plancks constant

    Correct Answer: B

    Solution :

                    The ratio of permittivity of free space\[({{\varepsilon }_{0}})\]and permittivity of medium\[(\varepsilon )\]is called the dielectric constant K, or relative permittivity of the medium\[K=\frac{\varepsilon }{{{\varepsilon }_{0}}}\] Hence, it is dimensionless. Whereas dimensions of universal gravitational constant (G) are\[[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}],\]Relative velocity \[[L{{T}^{-1}}],\]and Plancks constant has dimensions\[[M{{L}^{2}}{{T}^{-1}}]\].


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