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The dimensions of universal gas constant are
Options
(a) [ML²T⁻²θ⁻¹]
(b) [M²LT⁻²θ]
(c) [ML³T⁻²θ⁻¹]
(d) None of these
Correct Answer:
[ML²T⁻²θ⁻¹]
Explanation:
According to Ideal gas equation, PV = nRT
where P is the pressure, V is the volume, n is the no of moles, R is gas constant and T is temperature.
now , R = PV/nT
dimension of pressure = [ML⁻¹T⁻²]
dimension of volume = [ L³ ]
dimension of mole = no dimension
dimension of temperature = [ θ]
So , dimension of R =[ML⁻¹T⁻²][L³]/[θ]
=[ ML²T⁻²θ⁻¹]
Related Questions: - A mass m moves in a circle on a smooth horizontal plane with velocity v₀
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Question Type: Memory
(964)
Difficulty Level: Easy
(1008)
Topics: Physical World and Measurement
(103)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A mass m moves in a circle on a smooth horizontal plane with velocity v₀
- The magnetic field due to a current carrying circular loop of radius 3 cm at a point
- The operation of a nuclear reactor is said to be critical, if the multiplication
- Which dimensions will be the same as that of time?
- A step-up transformer operates on a 230 V line and supplies a current of 2 A.
Question Type: Memory (964)
Difficulty Level: Easy (1008)
Topics: Physical World and Measurement (103)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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