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Which of the following units denotes the dimensions ML2Q2, where Q denotes the electric charge?

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Important Questions on Physics and Measurement

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Which of the following pairs does not have similar dimensions?
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The dimensional formula for permittivity of free space ε0 in the equation F=14πε0q1q2r2 , where symbols have their usual meaning, is
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The Van der Waal's equation of a gas is P+aT2VVc=RT+b, where a, b, c and R are constants. If the isotherm is represented by P=AVmBVn, where A and B depends on temperature, then
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If pressure P, velocity V and time T are taken as fundamental physical quantities, then the dimensional formula of force F is
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From the dimensional consideration, which of the following equations is correct? (Here T=time period, R=radius, M=mass and G=gravitational constant)

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dx2ax-x2=ansin-1xa-1

Find the value of n. (Solve using dimensional analysis)

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Dimension of 1μ0ε0, where symbols have their usual meanings, is,
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The force acting on a particle is 5 N. If the units of length and time are doubled and the unit of mass is halved then, the numerical value of force, in the new system, will be,