Numford

Fundamental constantsClass 11, Thermal Properties of Matter

Dimensional formula of Wien's constant

[L K]

Symbolb SI unitmetre kelvin (m K)

The b in λ_max T = b, about 2.9 × 10⁻³ m K.

Derivation

How to get the dimensional formula of Wien's constant

  1. Start from the definition: Wien's constant = length × temperature.
  2. Put in the dimension of each part: [L] × [K].
  3. Add the powers of each base quantity: [L K].
Practice

Three questions on Wien's constant

1Which is the dimensional formula of Wien's constant?

2What is the SI unit of Wien's constant?

3Do Wien's constant and atomic mass unit have the same dimensions?

Questions

Wien's constant: quick answers

What is the dimensional formula of Wien's constant?

The dimensional formula of Wien's constant is [L K]. It comes from Wien's constant = length × temperature.

What is the SI unit of Wien's constant?

The SI unit of Wien's constant is the metre kelvin (m K).

Is Wien's constant dimensionless?

No. Wien's constant has the dimensions [L K].

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