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

Answer

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Find the potential difference Va - Vb between the points a and b shown in each part of the figure.




A circular loop of string rotates about its axis on a frictionless horizontal plane at a uniform rate so that the tangential speed of any particle of the string is v. If a small transverse disturbance is produced at. a point of the loop, with what speed (relative to the string) will this disturbance travel on the string?
The electric field associated with a light wave is given by $\text{E}=\text{E}_0\sin[(1.57\times10^7\text{m}^{-1})(\text{x}-{\text{ct}})].$ Find the stopping potential when this light is used in an experiment on photoelectric effect with the emitter having work function 1.9eV.
  1. Using Biot-Savart’s law, derive the expression for the magnetic field in the vector form at a point on the axis of a circular current loop.
  2. What does a toroid consist of ? Find out the expression for the magnetic field inside a toroid for N turns of the coil having the average radius r and carrying a current I. Show that the magnetic field in the open space inside and exterior to the toroid is zero.
(a) Obtain an expression for current flowing through an ideal inductor joined with an ac source of voltage $v=v_0 \sin \omega t$ by using phasor diagram. Draw a graph between (i) voltage applied and (ii) current as a function of (wt.).
(b) Obtain an expression for average power dissipation in any series LCR circuit.
Find the current through the resistance R in figure. if.

  1. $\text{R}=12\Omega$
  2. $\text{R}=48\Omega$
Explain quantitatively the order of magnitude difference between the diamagnetic susceptibility of N2 (~5 × 10-9) (at STP) and Cu (~10-5).
A heater coil is to be constructed with a nichrome wire $(\rho=1.0\times10^{-6}\Omega-\text{m})$which can operate at 500W when connected to a 250V supply.
  1. What would be the resistance of the coil?
  2. If the cross-sectional area of the wire 0.5mm2, what length of the wire will be needed?
  3. If the radius of each turn is 4.0mm, how many turns will be there in the coil?
The $\text{K}_\beta$ X-rays from certain elements are given below. Draw a Moseley-type plot of $\sqrt{\text{v}}$ versus Z for $\text{K}_\beta$ radiation.
Element
Ne
P
Ca
Mn
Zn
Br
Energy (keV)
0.858
2.14
4.02
6.51
9.57
13.3