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Q.

Assertion : The quantity (1μ0ε0) is dimensionally equal to velocity and numerically equal to velocity of light.Reason : μ0 is permeability of free space and ε0 is the permittivity of free space.

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a

If both the assertion and reason are true and reason is a true explanation of the assertion.

b

If both the assertion and reason are true but the reason is not the correct explanation of assertion.

c

If the assertion is true but reason is false.

d

If both the assertion and reason are false.

answer is .

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Detailed Solution

Both assertion and reason are true but reason is not the correct explanation of assertion.[ε0] = [M-1L-3T4I2], [μ0] = [MLT-2I-2]⇒1(μ0/4π)×4πE0 = 9×10910-7 = 9×1016= 3×108 m/sTherefore 1μ0ε0 has dimension of velocity and numerically equal to velocity of light

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Assertion : The quantity (1μ0ε0) is dimensionally equal to velocity and numerically equal to velocity of light.Reason : μ0 is permeability of free space and ε0 is the permittivity of free space.