SATHEE: Physics And Measurement Question 199

Physics And Measurement Question 199

Question: Which of the following product of $e, h, μ, G$ (where $μ$ is the permeability) be taken so that the dimensions of the product are same as that of the speed of light?

Options:

A) $h e_{}^{- 2} μ_{}^{- 1} G_{}^{0}$

B) $h_{}^{2} e G_{}^{0} μ$

C) $h_{}^{0} e_{}^{2} G_{}^{- 1} μ$

D) $h G e_{}^{- 2} μ_{}^{0}$

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Here $v = e^{a} h^{b} μ^{c} G^{d}$ .

Taking the dimensions, $M^{0} L T^{- 1} A^{0} = {[A T^{1}]}^{a} {[M L^{2} T^{- 1}]}^{b} {[M L T^{- 2} A^{- 2}]}^{c} [M^{- 1} L^{3} T^{- 2}]$

There will be four simultaneous equations by equating the dimensions of M, L, T, and A.

These are a-2c=0, a-b-2c solving for a, b, c, and d, we get a=-2, b=1, c=-1, d=0

Thus, $v = e^{- 2} h μ^{- 1} G^{0}$

पिछला

अगला

Physics And Measurement Question 199

Question: Which of the following product of $e, h, μ, G$ (where $μ$ is the permeability) be taken so that the dimensions of the product are same as that of the speed of light?

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 199

Question: Which of the following product of e,h,μ,G (where μ is the permeability) be taken so that the dimensions of the product are same as that of the speed of light?

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

Menu

Question: Which of the following product of $e, h, μ, G$ (where $μ$ is the permeability) be taken so that the dimensions of the product are same as that of the speed of light?