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Physics · JEE | UNITS AND MEASUREMENT

हिन्दी

If the unit of force is \( 100 \text{ N} \), the unit of length is \( 10 \text{ m} \), and the unit of time is \( 100 \text{ s} \), then the unit of mass in this system is:

  1. A
    \( 10^3 \text{ kg} \)
  2. B
    \( 10^4 \text{ kg} \)
  3. C
    \( 10^5 \text{ kg} \)
  4. D
    \( 10^6 \text{ kg} \)
View Answer & Solution

Correct answer · Option B

\( 10^4 \text{ kg} \)

Explanation

Force \( F = MLT^{-2} \implies M = \frac{F T^2}{L} \). Substituting units: \( M' = \frac{100 \times (100)^2}{10} = \frac{10^6}{10} = 10^5 \text{ g} = 10^4 \text{ kg} \).
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