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:
The number density of free electrons in copper is nearly $$8 \times 10^{28} \mathrm{~m}^{-3}$$. A copper wire has its area of cross section $$=2 \times 10^{-6} \mathrm{~m}^{2}$$ and is carrying a current of $$3.2 \mathrm{~A}$$. The drift speed of the electrons is ___________ $$\times 10^{-6} \mathrm{ms}^{-1}$$
Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature $$30 \mathrm{~cm}$$. The centre of curvature of surface is towards denser medium and a point object is placed on the principle axis in rarer medium at a distance of $$15 \mathrm{~cm}$$ from the pole of the surface. The distance of image from the pole of the surface is ____________ $$\mathrm{cm}$$.
A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The length of the string producing a fundamental frequency of 180 Hz will be _________ cm.