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Planck's constant has the same unit as:
1. force × time
2. force × speed
3. force × distance
4. force × distance × time

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Correct Answer - Option 4 : force × distance × time

Concept:

Planck’s constant: It is a constant value that represents the quantum of electromagnetic radiations.

It relates the energy carried by a photon to its frequency. The expression of the energy of a photon is given as

E = hν.

\(\therefore h=\frac{E}{ν }\)

h is Planck's constant, ν is the frequency of radiation

Hence, the unit of Planck's constant is    

\(h=\frac{Joule}{1/sec}=Joule\cdot sec\)

The value of Planck's constant is 6.6 × 10-34 Js.

Explanation:

  • Force × distance = work done
  • The unit of work done is Joule
  • Therefore the unit of 
  • Force × distance × time = Joule × second
  • This is the same unit as Planck's constant.

So, the correct option is Force × distance × time

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