SATHEE: Physics And Measurement Question 97

Physics And Measurement Question 97

Question: If $P$ represents radiation pressure, $c$ represents speed of light and $Q$ represents radiation energy striking a unit area per second, then non-zero integers $x, y$ and $z$ such that $P^{x} Q^{y} c^{z}$ is dimensionless, are

[AFMC 1991; CBSE PMT 1992; CPMT 1981, 92; MP PMT 1992]

Options:

A) $x = 1, y = 1, z = - 1$

B) $x = 1, y = - 1, z = 1$

C) $x = - 1, y = 1, z = 1$

D) $x = 1, y = 1, z = 1$

Show Answer

Answer:

Correct Answer: B

Solution:

By substituting the dimension of given quantities

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

By comparing the power of M, L, T in both sides $x + y = 0$ …..(i)

$- x + z = 0$ …..(ii)

$- 2 x - 3 y - z = 0$ -(iii)

The only values of $x, y, z$ satisfying (i), (ii) and (iii) corresponds to .

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Physics And Measurement Question 97

Question: If $P$ represents radiation pressure, $c$ represents speed of light and $Q$ represents radiation energy striking a unit area per second, then non-zero integers $x, y$ and $z$ such that $P^{x} Q^{y} c^{z}$ is dimensionless, are

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 97

Question: If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, then non-zero integers x,y and z such that PxQycz is dimensionless, are

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: If $P$ represents radiation pressure, $c$ represents speed of light and $Q$ represents radiation energy striking a unit area per second, then non-zero integers $x, y$ and $z$ such that $P^{x} Q^{y} c^{z}$ is dimensionless, are