SATHEE: Physics And Measurement Question 265

Physics And Measurement Question 265

Question: Assuming that the mass m of the largest stone that can be moved by a flowing river depends upon the velocity v of the water, its density $ρ$ and the acceleration due to gravity g. Then m is directly proportional to:

Options:

A) $ν^{3}$

B) $ν^{4}$

C) $ν^{5}$

D) $ν^{6}$

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $m \propto v^{x} ρ^{y} g^{z}$

$M \equiv {[L T^{- 1}]}^{x} {[M L^{- 3}]}^{y} {[L T^{- 2}]}^{z}$

$M^{1} L^{0} T^{0} = M^{y} L^{x - 3 y + z} T^{- x - 2 z}$

$y = 1. x - 3 y + z = 0, - x - 2 z = 0$

Solving above equations $x - 3 - \frac{x}{2} = 0 \Rightarrow \frac{x}{2} = 3 \Rightarrow x = 6$

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Physics And Measurement Question 265

Question: Assuming that the mass m of the largest stone that can be moved by a flowing river depends upon the velocity v of the water, its density $ρ$ and the acceleration due to gravity g. Then m is directly proportional to:

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 265

Question: Assuming that the mass m of the largest stone that can be moved by a flowing river depends upon the velocity v of the water, its density ρ and the acceleration due to gravity g. Then m is directly proportional to:

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: Assuming that the mass m of the largest stone that can be moved by a flowing river depends upon the velocity v of the water, its density $ρ$ and the acceleration due to gravity g. Then m is directly proportional to: