In an experiment with vernier callipers of least count $$0.1 \mathrm{~mm}$$, when two jaws are joined together the zero of vernier scale lies right to the zero of the main scale and 6th division of vernier scale coincides with the main scale division. While measuring the diameter of a spherical bob, the zero of vernier scale lies in between $$3.2 \mathrm{~cm}$$ and $$3.3 \mathrm{~cm}$$ marks, and 4th division of vernier scale coincides with the main scale division. The diameter of bob is measured as
A physical quantity P is given as
$$P = {{{a^2}{b^3}} \over {c\sqrt d }}$$
The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and 4% respectively. The percentage error in the measurement of quantity P will be
Match List I with List II
LIST I | LIST II | ||
---|---|---|---|
A. | Torque | I. | $$\mathrm{ML^{-2}T^{-2}}$$ |
B. | Stress | II. | $$\mathrm{ML^2T^{-2}}$$ |
C. | Pressure gradient | III. | $$\mathrm{ML^{-1}T^{-1}}$$ |
D. | Coefficient of viscosity | IV. | $$\mathrm{ML^{-1}T^{-2}}$$ |
Choose the correct answer from the options given below:
Dimension of $$\frac{1}{\mu_{0} \in_{0}}$$ should be equal to