SATHEE: Physics And Measurement Question 204

Physics And Measurement Question 204

Question: The dimension of $e^{2} / 4 π ε_{2} h c,$ where $e, ε_{0}, h$ and c are electronic charge, electric permittivity, Planck’s constant and velocity of light in vacuum, respectively, is

Options:

A) $[M^{0} L^{0} T^{0}]$

B) $[M^{1} L^{0} T^{0}]$

C) $[M^{0} L^{1} T^{0}]$

D) $[M^{0} L^{0} T^{1}]$

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $[e] = [A T], L_{0} = [M^{- 1} L^{- 3} T^{4} A^{2}]$ = $[M L^{2} T^{- 1}]$

and $[c] = [L T^{- 1}]$

$[\frac{e^{2}}{4 π \in_{0} h c}] = [\frac{A^{2} T^{2}}{M^{- 1} L^{- 3} T^{4} A^{2} \times M L^{2} T^{- 1} \times L T^{- 1}}]$

$= [M^{0} L^{0} T^{0}]$

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Physics And Measurement Question 204

Question: The dimension of $e^{2} / 4 π ε_{2} h c,$ where $e, ε_{0}, h$ and c are electronic charge, electric permittivity, Planck’s constant and velocity of light in vacuum, respectively, is

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Physics And Measurement Question 204

Question: The dimension of e2/4πε2hc, where e,ε0,h and c are electronic charge, electric permittivity, Planck’s constant and velocity of light in vacuum, respectively, is

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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Question: The dimension of $e^{2} / 4 π ε_{2} h c,$ where $e, ε_{0}, h$ and c are electronic charge, electric permittivity, Planck’s constant and velocity of light in vacuum, respectively, is