Match List I with List II
LIST I | LIST II | ||
---|---|---|---|
A. | Torque | I. | $$ \left[M^1 L^1 T^{-2} A^{-2}\right] $$ |
B. | Magnetic field | II. | $$ \left[L^2 A^1\right] $$ |
C. | Magnetic moment | III. | $$ \left[M^1 T^{-2} A^{-1}\right] $$ |
D. | Permeability of free space | IV. | $$ \left[M^1 L^2 T^{-2}\right] $$ |
Choose the correct answer from the options given below:
While measuring diameter of wire using screw gauge the following readings were noted. Main scale reading is $$1 \mathrm{~mm}$$ and circular scale reading is equal to 42 divisions. Pitch of screw gauge is $$1 \mathrm{~mm}$$ and it has 100 divisions on circular scale. The diameter of the wire is $$\frac{x}{50} \mathrm{~mm}$$. The value of $$x$$ is :
What is the dimensional formula of $$a b^{-1}$$ in the equation $$\left(\mathrm{P}+\frac{\mathrm{a}}{\mathrm{V}^2}\right)(\mathrm{V}-\mathrm{b})=\mathrm{RT}$$, where letters have their usual meaning.
A vernier callipers has 20 divisions on the vernier scale, which coincides with $$1^{\text {th }}$$ division on the main scale. The least count of the instrument is $$0.1 \mathrm{~mm}$$. One main scale division is equal to ________ mm.