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Units and Dimensions question bank (Physics)

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Q1.

Consider the equation $H = \dfrac{x^p \epsilon^q E^r}{t^s}$, where $H=$ magnetic field; $E=$ electric field, $\epsilon=$ permittivity, $x=$ distance, $t=$ time. The values of $p, q, r$ and $s$ respectively are:

(A)

$1, 1, 1, 1$

(B)

$-1, 1, 2, 1$

(C)

$1, -1, -2, 1$

(D)

$-1, -2, -2, 1$

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Q2.

A new unit $(\alpha)$ of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and Earth in terms of $\alpha$ units if light takes $6$ min. $40$ s to cover this distance?

(A)

$200\,\alpha$

(B)

$400\,\alpha$

(C)

$300\,\alpha$

(D)

$500\,\alpha$

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