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Suppose you are inside the water in a swimming pool near an edge. A friend is standing on the edge. Do you find your friend taller or shorter than his usual height?
Show that the magnetic field at a point due to a magnetic dipole is perpendicular to the magnetic axis if the line joining the point with the centre of the dipole makes an angle of $\tan^{-1}(\sqrt{2})$ with the magnetic axis.
The needle of a dip circle shows an apparent dip of 45° in a particular position and 53° when the circle is rotated through 90°. Find the true dip.
  1. State briefly the processes involved in the formation of p-n junction explaining clearly how the depletion region is formed.
  2. Using the necessary circuit diagrams, show how the V-I characteristics of a p-n junction are obtained in
  1. Forward biasing.
  2. Reverse biasing.

How are these characteristics made use of in rectification?

Light of wavelength 488 nm is produced by an argon laser which is used in the photoelectric effect. When light from this spectral line is incident on emitter, the stopping (cut-off) potential of photoelectrons is 0.38 V. Find the work function of the material from which material is made.
 For the past some time, Aarti had been observing some erratic body movement, unsteadiness and lack of coordination in the activities of her sister Radha, who also used to complain of severe headache occasionally. Aarti suggested to her parents to get a medical check-up of Radha. The doctor thoroughly examined Radha and diagnosed that she has a brain tumour.
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Niels Bohr introduced the atomic Hydrogen model in 1913. He described it as a positively charged nucleus, comprised of protons and neutrons, surrounded by a negatively charged electron cloud. In the model, electrons orbit the nucleus in atomic shells. The atom is held together by electrostatic forces between the positive nucleus and negative surroundings.

Bohr correctly proposed that the energy and radii of the orbits of electrons in atoms are quantized, with energy for transitions between orbits given by
$\triangle\text{E}=\text{h}\upsilon=\text{E}_\text{i}-\text{E}_\text{f}$ where $\triangle\text{E}$ is the change in energy between the initial and final orbits and $\text{h}\upsilon$ is the energy of an absorbed or emitted photon.
  1. In the Bohr model of the hydrogen atom, discrete radii and energy states result when an electron circles the atom in an integer number of
  1. De Broglie wavelengths
  2. Wave frequencies
  3. Quantum numbers
  4. Diffraction patterns.
  1. The angular speed of the electron in the nth orbit of Bohr's hydrogen atom is.
  1. Directly proportional to n
  2. Inversely proportional to $\sqrt{\text{n}}$
  3. Inversely proportional to n2
  4. Inversely proportional to n3
  1. When electron jumps from n = 4 level to n = 1 level, the angular momentum of electron changes by.
  1. $\frac{\text{h}}{2\pi}$
  2. $\frac{\text{h}}{\pi}$
  3. $\frac{\text{3h}}{2\pi}$
  4. $\frac{\text{2h}}{\pi}$
  1. The lowest Bohr orbit in hydrogen atom has.
  1. The maximum energy
  2. The least energy
  3. Infinite energy
  4. Zero energy
  1. Which of the following postulates of the Bohr model led to the quantization of energy of the hydrogen atom?
  1. The electron goes around the nucleus in circular orbits.
  2. The angular momentum of the electron can only be an integral multiple of $\frac{\text{h}}{2\pi}$.
  3. The magnitude of the linear momentum of the electron is quantized.
  4. Quantization of energy is itself a postulate of the Bohr model.
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Step-down transformers are used to decrease or step-down voltages. These are used when voltages need to be lowered for use in homes and factories. A small town with a demand of 800kW of electric power at 220V is situated 15km away from an electric plant generating power at 440V. The resistance of the two wire line carrying power is 0.5Q per km. The town gets power from the line through a 4000 - 220V step-down transformer at a sub-station in the town.

  1. The value of total resistance of the wires is:
  1. $25\Omega$
  2. $30\Omega$
  3. $35\Omega$
  4. $15\Omega$
  1. The line power loss in the form of heat is:
  1. 550kW
  2. 650kW
  3. 600kW
  4. 700kW
  1. How much power must the plant supply, assuming there is negligible power loss due to leakage?
  1. 600kW
  2. 1600kW
  3. 500W
  4. 1400kW
  1. The voltage drop in the power line is:
  1. 1700V
  2. 3000V
  3. 2000V
  4. 2800V
  1. The total value of voltage transmitted from the plant is:
  1. 500V
  2. 4000V
  3. 3000V
  4. 7000V