Basic Maths and Units and DimensionsMedium

Question

The speed of light in vacuum is taken as unity. If light takes 6 min 40 s to reach the Earth from the Sun, the distance between the Sun and the Earth in new unit is:

Options

A.$3 \times 10^{8}$
B.500
C.$3 \times 10^{10}$
D.400

Solution

Sol. [Key Concept: Distance = speed × time in chosen units] Time, $t = 6\text{ }min40\text{ }s$

$$\begin{matrix} & \ = 360 + 40 \\ & \ = 400\text{ }s \end{matrix}$$

Distance in new system $d = vt$ $= 1 \times 400 = 400$

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