Question
What are circular and elliptically polarized light?
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A device 'X' is connected to an a.c source. The variation of voltage, current and power in one complete cycle is shown in Fig.
- Which curve shows power consumption over a full cycle?
- What is the average power consumption over a cycle?
- Identify the device 'X'.
A neutron star has a density equal to that of the nuclear matter. Assuming the star to be spherical, find the radius of a neutron star whose mass is $4.0 \times 10^{30}kg ($twice the mass of the sun$).$
→Potassium $-40$ can decay in three modes. It can decay by $\beta^-$ emission, $\beta^+$ emission of electron capture.
→- Write the equations showing the end products.
- Find the $Q-$ values in each of the three cases. Atomic masses of $\text{ }^{40}_{18}\text{Ar},\text{ }^{40}_{19}\text{K}$ and $\text{40}_{20}\text{Ca}$ are $39.9624u \ \ 39.9640u$ and $39.9626u$ respectively.
Sometimes we show an idealised magnetic field which is uniform in a given region and falls to zero abruptly. One such field is represented in figure. Using Ampere's law over the path PQRS, show that such a field is not possible.
Distinguish the magnetic properties of dia, para$-$ and ferro$-$magnetic substances in terms of $(i)$ susceptibility, $(ii)$ magnetic permeability and $(iii)$ coercivity. Give one example of each of these materials. Draw the field lines due to an external magnetic field near a $(i)$ diamagnetic, $(ii)$ paramagnetic substance.
→A long cylindrical wire carries a positive charge of linear density $2.0 \times 10^{-8}Cm^{-1}.$ An electron revolves around it in a circular path under the influence of the attractive electrostatic force. Find the kinetic energy of the electron. Note that it is independent of the radius.
→A point object $ 'O\ '$ is kept in a medium of refractive index $n_1$ in front of a convex spherical surface of radius of curvature $R$ which separates the second medium of refractive index $n_2$ from the first one, as shown in the figure.
→- Draw the ray diagram showing the image formation and deduce the relationship between the object distance and the image distance in terms of $n_1, n_2$ and $R$.
- When the image formed above acts as a virtual object for concave spherical, surface separating the medium $n_2$ from $n_1 (n_2 > n_1),$ draw this ray diagram and write the similar $($similar to $(a)$ relation$)$. Hence obtain the expression for the lens maker's formula.
Four particles having masses m, 2m, 3m and 4m are placed at the four corners of a square of edge a. Find the gravitational force acting on a particle of mass m placed at the centre.
- In the explanation of photo electric effect, we asssume one photon of frequency $ν$ collides with an electron and transfers its energy. This leads to the equation for the maximum energy $E_\text{max}$ of the emitted electron as,
- $\text{E}_\text{max}=\text{hv}-\phi_0$
where $\phi_0$ is the work function of the metal. If an electron absorbs $2$ photons $($each of frequency $ν)$ what will be the maximum energy for the emitted electron? - Why is this fact $($two photon absorption$)$ not taken into consideration in our discussion of the stopping potential?
(a) and (b) show refraction of a ray in air incident at 60° with the normal to a glass-air and water-air interface, respectively. Predict the angle of refraction in glass when the angle of incidence in water is 45º with the normal to a water - glass interface.
