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Physics · UNITS AND MEASUREMENT

हिन्दी

If the speed of light in vacuum is taken as the unit of speed and 1 year (\( 365.25\text{ days} \)) as the unit of time, the distance between the Sun and the Earth (which takes light \( 8\text{ minutes} \) and \( 20\text{ seconds} \) to travel) in this new unit of distance (light year) is:

  1. \( 1.58 \times 10^{-5}\text{ ly} \)
  2. \( 2.12 \times 10^{-6}\text{ ly} \)
  3. \( 3.15 \times 10^{-7}\text{ ly} \)
  4. \( 8.33 \times 10^{-2}\text{ ly} \)

Correct answer · Option 1

\( 1.58 \times 10^{-5}\text{ ly} \)

Explanation

Time taken \( = 500\text{ s} \). 1 year \( = 3.1557 \times 10^7\text{ s} \). Distance in light years \( = \frac{500}{3.1557 \times 10^7} \approx 1.58 \times 10^{-5}\text{ ly} \).
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