SATHEE: Physics And Measurement Question 35

Physics And Measurement Question 35

Question: In the relation $P = \frac{α}{β} e^{- \frac{α Z}{k θ}}$ P is pressure, Z is the distance, k is Boltzmann constant and q is the temperature. The dimensional formula of b will be

[IIT (Screening) 2004]

Options:

A) $[M^{0} L^{2} T^{0}]$

B) $[M^{1} L^{2} T^{1}]$

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

D) $[M^{0} L^{2} T^{- 1}]$

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Answer:

Correct Answer: A

Solution:

In given equation, $\frac{α z}{k θ}$ should be dimensionless

$∴$ $α = \frac{k θ}{z} \Rightarrow [α] = \frac{[M L^{2} T^{- 2} K^{- 1} \times K]}{[L]} = [M L T^{- 2}]$

and $P = \frac{α}{β} \Rightarrow [β] = [\frac{α}{p}] = \frac{[M L T^{- 2}]}{[M L^{- 1} T^{- 2}]} = [M^{0} L^{2} T^{0}]$ .

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Physics And Measurement Question 35

Question: In the relation $P = \frac{α}{β} e^{- \frac{α Z}{k θ}}$ P is pressure, Z is the distance, k is Boltzmann constant and q is the temperature. The dimensional formula of b will be

Options:

Answer:

Solution:

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सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Physics And Measurement Question 35

Question: In the relation P=αβe−αZkθ P is pressure, Z is the distance, k is Boltzmann constant and q is the temperature. The dimensional formula of b will be

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: In the relation $P = \frac{α}{β} e^{- \frac{α Z}{k θ}}$ P is pressure, Z is the distance, k is Boltzmann constant and q is the temperature. The dimensional formula of b will be