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Units and Dimensions question bank (Physics)

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Q1.

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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Q2.

The percentage error in the calculated volume of a sphere, if there is $2\%$ error in its diameter measurement, is __________.

(A)
$1$
(B)
$2$
(C)
$6$
(D)
$8$
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