JEE PHYSICS MCQ: UNITS & MEASUREMENTS

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Analyzing +4 | -1

In a typical combustion engine, the work done by a gas molecule is given

W = {\alpha ^2}\beta {e^{\frac{{ - \beta {x^2}}}{{kT}}}},

where

x

is the displacement,

k

is the Boltzmann constant and

T

is the temperature. If

\alpha \,

and

\beta

are constants, dimensions of

\alpha

will be

View answer and explanation

Correct option: B

[{M^0}L{T^0}]

Option B ([{M⁰}L{T⁰}]) is correct because after dimensional analysis, the dimension of alpha is found to be [L].

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{\varepsilon _0}L\frac{{\Delta V}}{{\Delta t}},\;

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{\Delta V}

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