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GUJCET · Physics · Magnetism And Matter
Select the dimensional formula of \(\frac{ B ^2}{2 \mu_0}\).
- A \(M ^1 L^1 T^2\)
- B \(M ^{-1} L^1 T^2\)
- C \(M ^{-1} L^{-1} T^{-2}\)
- D \(M ^1 L^{-1} T^{-2}\)
Answer & Solution
Correct Answer
(D) \(M ^1 L^{-1} T^{-2}\)
Step-by-step Solution
Detailed explanation
D
Energy density
\(U =\frac{ B ^2}{2 \mu_0}=\frac{\text { Energy }}{\text { Volume }}\)
\(\begin{array}{l}=\frac{M^1 L^2 T^{-2}}{L^3} \\ =M^1 L^{-1} T^{-2}\end{array}\)
Energy density
\(U =\frac{ B ^2}{2 \mu_0}=\frac{\text { Energy }}{\text { Volume }}\)
\(\begin{array}{l}=\frac{M^1 L^2 T^{-2}}{L^3} \\ =M^1 L^{-1} T^{-2}\end{array}\)
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