SATHEE: Physics And Measurement Question 33

Physics And Measurement Question 33

Question: If the constant of gravitation $(G)$ , Planck’s constant $(h)$ and the velocity of light $(c)$ be chosen as fundamental units. The dimension of the radius of gyration is

[AMU (Eng.) 1999]

Options:

A) $h^{1 / 2} c^{- 3 / 2} G^{1 / 2}$

B) $h^{1 / 2} c^{3 / 2} G^{1 / 2}$

C) $h^{1 / 2} c^{- 3 / 2} G^{- 1 / 2}$

D) $h^{- 1 / 2} c^{- 3 / 2} G^{1 / 2}$

Show Answer

Answer:

Correct Answer: A

Solution:

Let radius of gyration $[k] \propto {[h]}^{x} {[c]}^{y} {[G]}^{z}$

By substituting the dimension of $[k] = [L]$ , $[h] = [M L^{2} T^{- 1}], [c] = [L T^{- 1}], [G] = [M^{- 1} L^{3} T^{- 2}]$ and by comparing the power of both sides we can get

$x = 1 / 2, y = - 3 / 2, z = 1 / 2$

So dimension of radius of gyration are ${[h]}^{1 / 2} {[c]}^{- 3 / 2} {[G]}^{1 / 2}$

पिछला

अगला

Physics And Measurement Question 33

Question: If the constant of gravitation $(G)$ , Planck’s constant $(h)$ and the velocity of light $(c)$ be chosen as fundamental units. The dimension of the radius of gyration 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 33

Question: If the constant of gravitation (G) , Planck’s constant (h) and the velocity of light (c) be chosen as fundamental units. The dimension of the radius of gyration 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

Menu

Question: If the constant of gravitation $(G)$ , Planck’s constant $(h)$ and the velocity of light $(c)$ be chosen as fundamental units. The dimension of the radius of gyration is