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1.Units, Dimensions and Measurement
medium
Dimensional formula of magnetic flux is
A$M{L^2}{T^{ - 2}}{A^{ - 1}}$
B$M{L^0}{T^{ - 2}}{A^{ - 2}}$
C${M^0}{L^{ - 2}}{T^{ - 2}}{A^{ - 3}}$
D$M{L^2}{T^{ - 2}}{A^3}$
(IIT-1982) (AIPMT-1999)
Solution
(a) $\phi = BA = \frac{F}{{I \times L}}A $
$= \frac{{[ML{T^{ – 2}}]\,\,[{L^2}]}}{{[A]\,\,[L]}} $
$= [M{L^2}{T^{ – 2}}{A^{ – 1}}]$
$= \frac{{[ML{T^{ – 2}}]\,\,[{L^2}]}}{{[A]\,\,[L]}} $
$= [M{L^2}{T^{ – 2}}{A^{ – 1}}]$
Standard 11
Physics
Similar Questions
Match List$-I$ with List$-II$
| List$-I$ | List$-II$ |
| $(a)$ $h$ (Planck's constant) | $(i)$ $\left[ M L T ^{-1}\right]$ |
| $(b)$ $E$ (kinetic energy) | $(ii)$ $\left[ M L ^{2} T ^{-1}\right]$ |
| $(c)$ $V$ (electric potential) | $(iii)$ $\left[ M L ^{2} T ^{-2}\right]$ |
| $(d)$ $P$ (linear momentum) | $( iv )\left[ M L ^{2} I ^{-1} T ^{-3}\right]$ |
Match List $I$ with List $II$
| List $I$ | List $II$ |
| $A$ Spring constant | $I$ $(T ^{-1})$ |
| $B$ Angular speed | $II$ $(MT ^{-2})$ |
| $C$ Angular momentum | $III$ $(ML ^2)$ |
| $D$ Moment of Inertia | $IV$ $(ML ^2 T ^{-1})$ |
Match List $I$ with List $II$
| LIST$-I$ | LIST$-II$ |
| $(A)$ Torque | $(I)$ $ML ^{-2} T ^{-2}$ |
| $(B)$ Stress | $(II)$ $ML ^2 T ^{-2}$ |
| $(C)$ Pressure of gradient | $(III)$ $ML ^{-1} T ^{-1}$ |
| $(D)$ Coefficient of viscosity | $(IV)$ $ML ^{-1} T ^{-2}$ |
