Question
By giving example of bar magnet, explain its basic properties.

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The coil of an electric bulb takes 40 watts to start glowing. If more than 40W is supplied, 60% of the extra power is converted into light and the remaining into heat. The bulb consumes 100W at 220V. Find the percentage drop in the light intensity at a point if the supply voltage changes from 220V to 200V.
Give a brief description of the basic elementary process involved in the photoelectric emission in Einstein’s picture.
When a photosensitive material is irradiated with the light of frequency v, the maximum speed of electrons is given by vmax. A plot of v2max is found to vary with frequency ν as shown in the figure.

Use Einstein’s photoelectric equation to find the expressions for:
  1. Planck’s constant.
  2. Work function of the given photosensitive material, in terms of the parameters l, n and mass m of the electron.
Figure. shows two vessels A and B with rigid walls containing ideal gases. The pressure, temperature and the volume are pA, TA, V in the vessel A and pB, TB, V in the vessel B. The vessels are now connected through a small tube. Show that the pressure p and the temperature T satisfy $\frac{\text{p}}{\text{T}}=\frac{1}{2}\Big(\frac{\text{P}_\text{A}}{\text{T}_\text{A}}+\frac{\text{p}_\text{B}}{\text{T}_\text{B}}\Big)$ when equilibrium is achieved.

A monoenergetic electron beam with electron speed of 5.20 × 106 ms–1 is subject to a magnetic field of 1.30 × 10–4 T normal to the beam velocity. What is the radius of the circle traced by the beam, given e/m for electron equals 1.76 × 1011C kg–1.
Answer the following question:
The small ozone layer on top of the stratosphere is crucial for human survival. Why?
An atom is in its excited state. Does the probability of its coming to ground state depend on whether the radiation is already present or not? If yes, does it also depend on the wavelength of the radiation present?
In semiconductors, thermal collisions are responsible for taking a valence electron to the conduction band. Why does the number of conduction electrons not go on increasing with time as thermal collisions conμnuously take place?
A particle is found to be at rest when seen from a frame S1 and moving with constant velocity when seen from another frame S2. Mark out the possible options:
  1. Both the frames are inertial.
  2. Both the frames are non-inertial.
  3. S1 is inertial and S2 is non-inertial.
  4. S1 is non-inertial and S2 is inertial.
(i) Obtain an expression for torque acting on a rectangular current carrying coil in a uniform magnetic field. (ii) Calculate magnetic dipole of a circular electric current loop.
Electrons give up energy at the rate of RI2 per second to the thermal energy. What time scale would one associate with energy in problem (a)? n = no of electron/volume = 1029/m3, length of circuit = 10cm, cross-section = A = (1mm)2.