ExamBro
ExamBro
MHT CET · Physics · Units and Dimensions

The refractive index of the medium is \(\mu=\mathrm{A}+\frac{\mathrm{B}}{\lambda^{2}}\), where \(\mathrm{A}\) and \(\mathrm{B}\) are constants and \(\lambda\) is the wavelength of light. The dimensions of \(B\) are same as that of

  1. A Velocitv.
  2. B area.
  3. C wavelength.
  4. D Volume.
Verified Solution

Answer & Solution

Correct Answer

(B) area.

Step-by-step Solution

Detailed explanation

\(\mu=\mathrm{A}+\frac{\mathrm{B}}{\lambda^{2}}\). Equating dimensions give
\(\frac{\mathrm{B}}{\lambda^{2}}=\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{0}\) \(\Rightarrow \mathrm{B}=\mathrm{M}^{0} \mathrm{~L}^{2} \mathrm{~T}^{0} \rightarrow\) same as dimension of area.