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Chemistry · Some Basic Concepts of Chemistry

हिन्दी

According to the SI definition of the base unit of mass, the kilogram is defined by taking the fixed numerical value of the Planck constant \( h \) as \( 6.62607015 \times 10^{-34} \) when expressed in the unit \( \text{J}\cdot\text{s} \). The base SI unit equivalent of \( \text{J}\cdot\text{s} \) is:

  1. \( \text{kg}\cdot\text{m}\cdot\text{s}^{-2} \)
  2. \( \text{kg}\cdot\text{m}^2\cdot\text{s}^{-1} \)
  3. \( \text{kg}\cdot\text{m}^2\cdot\text{s}^{-2} \)
  4. \( \text{kg}\cdot\text{m}^{-1}\cdot\text{s}^{-1} \)

Correct answer · Option 2

\( \text{kg}\cdot\text{m}^2\cdot\text{s}^{-1} \)

Explanation

Since \( \text{J} = \text{kg}\cdot\text{m}^2\cdot\text{s}^{-2} \), multiplying by \( \text{s} \) yields \( \text{J}\cdot\text{s} = \text{kg}\cdot\text{m}^2\cdot\text{s}^{-1} \).
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