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What are circular and elliptically polarized light?
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- An equiconvex lens with radii of curvature of magnitude r each, is put over a liquid layer poured on top of a plane mirror. A small needle, with its tip on the principal axis of the lens, is moved along the axis until its inverted real image coincides with the needle itself. The distance of the needle from the lens is measured to be 'a'. On removing the liquid layer and repeating the experiment the distance is found to be 'b'.
Given that two values of distances measured represent the focal length values in the two cases, obtain a formula for the refractive index of the liquid.
- If r = 10cm, a = 15cm, b = 10cm, find the refractive index of the liquid.
A solid aluminium sphere and a solid copper sphere of twice the radius are heated to the same temperature and are allowed to cool under identical surrounding temperatures. Assume that the emissivity of both the spheres is the same. Find the ratio of:
- The rate of heat loss from the aluminium sphere to the rate of heat loss from the copper sphere.
- The rate of fall of temperature of the aluminium sphere to the rate of fall of temperature of the copper sphere. The specific heat capacity of aluminium = 900Jkg-1°C-1 and that of copper= 390Jkg-1°C-1. The density of copper = 3.4 times the density of aluminium.
Figure shows two parallel plate capacitors with fixed plates and connected to two batteries. The separation between the plates is the same for the two capacitors. The plates are rectangular in shape with width b and lengths l1 and l2 The left half of the dielectric slab has a dielectric constant K1 and the right half K2. Neglecting any friction, find the ratio of the emf of the left. battery to that of the right battery for which the dielectric slab may remain in equilibrium.
Suppose that the electric field amplitude of an electromagnetic wave is E0 = 120 N/C and that its frequency is ν = 50.0 MHz. (a) Determine, B0, ω, k, and λ. (b) Find expressions for E and B.
A resistor of resistance $100\Omega$ is connected to an AC source $\in=(12\text{V})\sin(250\pi\text{s}^{-1})\text{t}.$ Find the energy dissipated as heat during $\text{t}=0$ to $\text{t}=1.0\text{ms}.$
→Describe the potential energy of an electric dipole in an external field in different positions also draw the diagram.
With the help of a labelled diagram, explain how does an AC works. There are $N$ turns in coil of AC generator. Area of each turn is A and the coil is rotating with a uniform angular velocity. Establish an expression for generated induced electromotive force. What is the source of energy production by this method?
→The heavier block in an Atwood machine has a mass twice that of the lighter one. The tension in the string is 16.0N when the system is set into motion. Find the decrease in the gravitational potential energy during the first second after the system is released from rest.
What is capacitance of a conductor? What is its unit? Find the formula for capacitance of an isolated spherical conductor. Draw a graph between capacitance and radius. If a spherical conductor is placed in dielectric constant $\in_r$, then what will be the effect on the value of capacitance?###If the area of each conducting plate of a parallel plate capacitor is A and the separation between them is $d$, then express the formula for its capacitance.
→Is it possible that in a Coolidge tube characteristic $\text{L}_\alpha$ X-rays are emitted but not $\text{K}_\alpha$ X-rays?
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