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If $m, e, ε_{0}, h a n d c$ denote mass of 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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M0L0 T-1

M0 L-1 T-1

M2 L T-3

M0 L-1 T0

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detailed solution

Correct option is D

In Bohr's model, 1λ=me4ε02h3c1n12-1n22where, λ=wavelength,n1 and n2 are principal quantum numbers∴me4ε02h3c=L-1=M0 L-1 T0

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

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If $m, e, ε_{0}, h a n d c$ denote mass of 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