SATHEE: Physics And Measurement Question 190

Physics And Measurement Question 190

Question: 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

Options:

A) [ $M_{}^{0} L_{}^{0} T_{}^{- 1}$ ]

B) [ $M_{}^{0} L_{}^{- 1} T_{}^{- 1}$ ]

C) [ $M_{}^{2} L_{}^{} T_{}^{- 3}$ ]

D) [ $M_{}^{0} L_{}^{- 1} T_{}^{0}$ ]

Show Answer

Answer:

Correct Answer: D

Solution:

[d] In Bohr’s model, $\frac{1}{λ} = \frac{m e^{4}}{{ε_{0}}^{2} h^{3} c} (\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}})$

Where $λ$ =wavelength, $n_{1}$

and $n_{2}$ are principal quantum numbers.

$∴ [\frac{m e^{4}}{{ε_{0}}^{2} h^{3} c}] = [L^{- 1}] = [M^{0} L^{- 1} T^{0}]$

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Physics And Measurement Question 190

Question: 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

Options:

Answer:

Solution:

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Question: 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