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If m, e, $ε_{0}$ , h and c denote mass electron, charge of electron. Planck's constant and speed of light, respectively. The dimensions of $\frac{m e^{4}}{ε_{0}^{2} h^{3} c}$ are

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M0L0T−1

M0L−1T−1

M2LT−3

M0L−1T0

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detailed solution

Correct option is D

In Bohr's model, 1λ=me4ε02h3c1n12−1n22where λ= wavelength ,n1 and n2 principal quantum numbers.∴ me4ε02h3c=L−1=M0L−1T0

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If m, e, ε0, h and c denote mass electron, charge of electron. Planck's constant and speed of light, respectively. The dimensions of me4ε02h3c are

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If m, e, $ε_{0}$ , h and c denote mass electron, charge of electron. Planck's constant and speed of light, respectively. The dimensions of $\frac{m e^{4}}{ε_{0}^{2} h^{3} c}$ are