AIIMS 2011
- Exam
- AIIMS
- Year
- 2011
- Subject
- Physics
- Chapter
- Units and Dimensions
AIIMS 2011 · Physics · Units and Dimensions
What is the dimensions of magnetic field B in terms of C (=...
What is the dimensions of magnetic field in terms of (= coulomb), M, L, T?
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
\begin{aligned}
& \text{ }: B=\frac{F}{q v}=\frac{\left[\mathrm{MLT}^{-2}\right]}{[\mathrm{AT}]\left[\mathrm{LT}^{-1}\right]}=\left[\mathrm{ML}^0 \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right] \\
& \text{ But }[A]=\left[C \mathrm{~T}^{-1}\right] \\
& \therefore \quad[B]=\left[\mathrm{ML}^0 \mathrm{~T}^{-1} \mathrm{C}^{-1}\right]
\end{aligned}