Question
Two car garages have a common gate which needs to open automatically when a car enters either of the garages or cars enter both. Devise a circuit that resembles this situation using diodes for this situation.

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An electric field of magnitude 1000NC-1 is produced between two parallel plates having a separation of 2.0cm as shown in figure.

  1. What is the potential difference between the plates?
  2. With what minimum speed should an electron be projected from the lower plate in the direction of the field so that it may reach the upper plate?
  3. Suppose the electron is projected from the lower plate with the speed calculated in part (b). The direction of projection makes an angle of 60° with the field. Find the maximum height reached by the electron.

The electric field at a point associated with a light wave is $\text{E}=\big(100\frac{\text{v}}{\text{m}}\big)\sin[(3.0\times10^{15}\text{s}^{-1})\text{t]sin[(6.0}\times10^{15}\text{s}^{-1})\text{t}].$ If this light falls on a metal surface having a work function of 2.0eV, what will be the maximum kinetic energy of the photoelectrons?
A person standing on the floor of an elevator drops a coin. The coin reaches the floor of the elevator in a time t1 if the elevator is stationary and in time t2 if it is moving uniformly. Then:
  1. t1 = t2
  2. t1 < t2
  3. t1 > t2
  4. t1 < t2 or t1 > t2 depending on whether the lift is going up or down.
A closed circular wire hung on a nail in a wall undergoes small oscillations of amplitude 20 and time period 2s. Find,
  1. The radius of the circular wire,
  2. The speed of the particle farthest away from the point of suspension as it goes through its mean position,
  3. The acceleration of this particle as it goes through its mean position and
  4. The acceleration of this particle when it is at an extreme position. Take $\text{g}=\pi^2\text{m/s}^2.$
Write the properties of charge. What is meant by charge conservation? Explain with example. What do you understand by charge quantization?
Consider a two slit interference arrangements (Fig.) such that the distance of the screen from the slits is half the distance between the slits. Obtain the value of D in terms of λ such that the first minima on the screen falls at a distance D from the centre O.

The potentiometer wire AB shown in the figure. is 40cm long. Where should the free end of the galvanometer be connected on AB so that the galvanometer may show zero deflection?

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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Explain graphically the flow of current in semiconductors in the presence of an external electric field.