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If the velocity of light c, gravitational constant G and Planck's constant h are chosen as fundamental units, then the dimension of mass in the new system is

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Important Questions on Units and Measurement

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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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Distance travelled by a particle, at any time instant t, can be represented as S=At+B+Ct2. The dimensions of B are (A, B and C are constants),
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Two quantities A and B have different dimensions. Which operation is physically meaningful?
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A spherical body of mass m and radius r is allowed to fall in a medium of viscosity η. The time in which the velocity of the body increases from 0 to 0.63 times the terminal velocity v is called time constant τ. Dimensionally, τ can be represented by (given η=ML-1T-1),
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Dimension of 1μ0ε0, where symbols have their usual meanings, is,
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The physical quantities not having same dimensions are,
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Which of the following equations is dimensionally incorrect?

[Here, t=time, p=momentum, i=impulse, m=mass, g=acceleration, v=speed, F=force, r=radius or distance, L=inductance, C=capacitance, R=resistance, I=moment of inertia, τ=torque.]