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BITSAT 2024Paper 1
Exam
BITSAT
Year
2024
Paper
Paper 1
Subject
Physics
Chapter
Units and Dimensions

BITSAT 2024 · Paper 1 · Physics · Units and Dimensions

The dimensions of coefficient of self inductance are

The dimensions of coefficient of self inductance are

Options

  1. A[ML2 T−2 A−2]\left[\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~A}^{-2}\right]
  2. B[ML2 T−2 A−1]\left[\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]
  3. C[MLT−2 A−2]\left[\mathrm{MLT}^{-2} \mathrm{~A}^{-2}\right]
  4. D[MLT−2 A−1]\left[\mathrm{MLT}^{-2} \mathrm{~A}^{-1}\right]

Correct answer

A. [ML2 T−2 A−2]\left[\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~A}^{-2}\right]

Step-by-step solution

Energy stored in an inductor, \mathrm{U}=\frac{1}{2} \mathrm{LI}^2\Rightarrow \quad \mathrm{L}=\frac{2 \mathrm{U}}{\mathrm{I}^2}[\mathrm{L}]=\frac{\left[\mathrm{\text{ ML }}^2 \mathrm{ T}^{-2}\right]}{[\mathrm{A}]^2}= \left[\mathrm{ML}^2 \mathrm{ T}^{-2} \mathrm{ A}^{-2}\right]
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