General Physics Ques 49
Question 27
- Write the dimensions of the following in terms of mass, time, length and charge.
(1982, 2M) (a) Magnetic flux (b) Rigidity modulus
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Answer:
Correct Answer: 49.(a) $\left[M L^{2} T^{-1} Q^{-1}\right]$ (b) $\left[M L^{-1} T^{-2}\right]$
Solution:
Formula:
- (a) Magnetic flux, $\varphi=B s=\frac{F}{q v}(s) \quad[\because F=B q v]$
$$ \therefore \quad[\varphi]=\frac{\mathrm{Fs}}{\mathrm{qv}}=\frac{\mathrm{MLT}^{-2} \mathrm{~L}^{2}}{\mathrm{QLT}^{-1}}=\left[\mathrm{ML}^{2} \mathrm{~T}^{-1} \mathrm{Q}^{-1}\right] $$
(b) $[$ Rigidity Modulus $]=\frac{\mathrm{F}}{\mathrm{A}}=\frac{\mathrm{MLT}^{-2}}{\mathrm{~L}^{2}}$
$$ =\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right] $$
BETA
