For the following questions answer them individually
If $$u = \log \frac{x^{2}}{y}$$, then $$\frac{\partial u}{\partial x} + y\frac{\partial u}{\partial y}$$ is equal to
If the frequency of an AC circuit is increased. what happens to the inductive reactance ($$X_{L})$$ of an inductor?
Arrange the following in ascending order in accordance to coordination number
(A). Face centered cubic structured Au
(B). Body centered cubic structured Na
(C). Diamond
(D). NaCl
Choose the correct answer from the options given below:
The angle between the dipole moment and electric field at any point on the equatorial plane is
Consider a solid cylinder of mass M and radius R. What will be the moment of inertia on the surface of the cylinder.
Two planets $$P_{1}$$ and $$P_{2}$$ having masses $$M_{1}$$ and $$M_{2}$$ revolve around the sun in elliptical orbits with time period $$T_{1}$$ and $$T_{2}$$ respectively. the minimum and maximum distances of planets $$P_{1}$$ from the sun are R and 3R respectively. Whereas for planet $$P_{2}$$, these are 2R and 4R respectively. Where R is the constant. Assuming $$M_{1}$$ and $$M_{2}$$ are much smaller than the mass of the sun. the magnitude of $$T_{2}/T_{1}$$ is
Find the force of attraction between two balls each of mass 1kg when their centers are 10cm apart?