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Obtain expressions for instantaneous values of alternating emf and current.
Can the bulb of a thermometer be made of an adiabatic wall?
What is the speed of a photon with respect to another photon if:
  1. The two photons are going in the same direction and.
  2. They are going in opposite directions?
Consider a box with three terminals on top of it as shown in Fig (a):

Three components namely, two germanium diodes and one resistor are connected across these three terminals in some arrangement. A student performs an experiment in which any two of these three terminals are connected in the circuit shown in Fig. (b).

The student obtains graphs of current-voltage characteristics for unknown combination of components between the two terminals connected in the circuit. The graphs are

  1. When A is positive and B is negative,

  1. When A is negative and B is positive,

  1. When B is negative and C is positive,

  1. When B is positive and C is negative,

  1. When A is positive and C is negative,

  1. When A is negative and C is positive,

From these graphs of current - voltage characteristic shown in Fig. (c) to (h), determine the arrangement of components between A, B and C.

An operator sitting in his base camp sends a sound signal of frequency 400Hz. The signal is reflected back from a car moving towards him. The frequency of the reflected sound is found to be 410Hz. Find the speed of the car. Speed of sound in air = 324m/s.
A scooter company gives the following specifications about its product.
  • Weight of the scooter - 95kg.
  • Maximum speed - 60km/h.
  • Maximum engine power - 3.5hp.
  • Pick up time to get the maximum speed - 5s.
  • Check the validity of these specifications.
Shows a convex lens of focal length 12cm lying in a uniform magnetic field B of magnitude 1.2T parallel to its principal axis. A particle with charge 2.0 × 10-3C and mass 2.0 × 10-5 kg is projected perpendicular to the plane of the diagram with a speed of 4.8 ms-1. The particle moves along a circle with its centre on the principal axis at a distance of 18cm from the lens. Show that the image of the particle moves along a circle and find the radius of that circle.

Calculate the electric field in a copper wire of cross-sectional area 2.0mm2 carrying a current of 1A.
The resistivity of copper $=1.7\times10^{-8}\Omega\text{-m}.$
A source contains two phosphorous radio nuclides $^{32}_{15}\text{P }(\text{T}_{1/2}=14.3\text{d})$ and $^{33}_{15}\text{P }(\text{T}_{1/2}=25.3\text{d})$ Initially, 10% of the decays come from $^{33}_{15}\text{P}.$ How long one must wait until 90% do so?
Four charges are arranged at the corners of a square $ABCD$ of side $d$, as shown in Fig. 2.15.(a) Find the work required to put together this arrangement. (b) A charge $q_0$ is brought to the centre $E$ of the square, the four charges being held fixed at its corners. How much extra work is needed to do this?
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