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Find the maximum magnifying power of a compound Microscope having a 25 diopter lens as the objective, a 5 diopter lens as the eyepiece and the separation 30cm between the two lenses. The least distance for clear vision is 25cm.
If the above capacitor is connected across a 6.0V battery, find:
  1. The charge supplied by the battery.
  2. The induced charge on the dielectric.
  3. The net charge appearing on one of the coated surfaces.
What is meant by electric field intensity? Write its units and dimensional formula. Find the expression for the electric field intensity at a point due to a point charge. Draw a graph between electric field intensity E and distance r.
Let $\text{X}=\overline{\text{ABC}}+\overline{\text{BCA}}+\overline{\text{CAB}}.$ Evaluate X for:
  1. $\text{A}=1,\text{B}=0,\text{C}=1$
  2. $\text{A}=\text{B}=\text{C}=1$
  3. $\text{A}=\text{B}=\text{C}=0$
Continuous X-rays are made to strike a tissue paper soaked with polluted water. The incoming X-rays excite the atoms of the sample by knocking out the electrons from the inner shells. Characteristic X-rays are analysed and the intensity is plotted against the wavelength. Assuming that only $\text{K}_\alpha$ intensities are detected, list the elements present in the sample from the plot. Use Moseley's equation v - (25 × 1014Hz)(Z - 1)2.

An angular magnification (magnifying power) of 30X is desired using an objective of focal length 1.25 cm and an eyepiece of focal length 5 cm. How will you set up the compound microscope?
A solenoid having inductance 4.0H and resistance $10\Omega$ is connected to a 4.0V battery at t = 0. Find
  1. The time constant.
  2. The time elapsed before the current reaches 0.63 of its steady-state value.
  3. The power delivered by the battery at this instant.
  4. The power dissipated in Joule heating at this instant.
Using Huygens’ Principle, draw a diagram to show propagation of a wavefront originating from a monochromatic point source. Explain briefly.
The wavelengths of $\text{K}_\alpha$ and $\text{L}_\alpha$ X-rays of a material are 21.3pm and 141pm respectively. Find the wavelength of $\text{K}_\beta$ X-ray of the material.
The resistance of an iron wire and a copper wire at 20°C are $3.9\Omega$ and $4.1\Omega,$ respectively. At what temperature will the resistance be equal? Temperature coefficient of resistivity for iron is $5.0\times10^{-3}\text{K}^{-1}$ and for copper, it is $4.0\times10^{-3}\text{K}^{-1}.$ Neglect any thermal expansion.