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JEE Main 2026 (8 Apr, Shift 2) · Applications of Dimensional Analysis

Applications of Dimensional Analysis question from JEE Main 2026 (8 Apr, Shift 2)

Q8JEE Main 2026 · 8 APR · SHIFT 2Medium

Applications of Dimensional Analysis

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?

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Answer: (b)

Time $t = 6\times60 + 40 = 400$ s.
Taking $c$ as one unit per second, distance $= c\,t = 400\alpha$ .
So the answer is (b) $400\alpha$ .

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