EXPLANATION
- a) M⁻¹L⁰T⁰
- b) M⁰L¹T⁰
- c) M⁰L⁰T⁻¹
- d) M⁻²L⁻²T¹
ANSWER: b) M⁰L¹T⁰
EXPLANATION:
The dimension of wavelength is [M⁰L¹T⁰]. This means that wavelength is a pure length quantity, and it does not have any dependence on mass, time, or any other physical quantity.
The wavelength of a wave is the distance between two consecutive points on the wave that have the same phase. For example, the wavelength of a sound wave is the distance between two consecutive compressions or rarefactions of the air. The wavelength of a light wave is the distance between two consecutive crests or troughs of the light wave.
The dimensional formula for wavelength can be derived from the following equation:
λ = v / f
where:
λ is the wavelength
v is the speed of the wave
f is the frequency of the wave
The dimensions of speed are [L T⁻¹], and the dimensions of frequency are [T⁻¹]. Substituting these into the equation, we get the dimensional formula for wavelength:
[λ] = [v] / [f] = [L T⁻¹] / [T⁻¹] = [L]
Therefore, the dimension of wavelength is [M⁰L¹T⁰].
