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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A particle of mass m and charge q is projected into a region that has a perpendicular magnetic field B. Find the angle of deviation of the particle as it comes out of the magnetic field if the width d of the region is very slightly smaller than

  1. $\frac{\text{mv}}{\text{qB}}$

  2. $\frac{\text{mv}}{2\text{qB}}$

  3. $\frac{2\text{mv}}{\text{qB}}.$

What is meant by power of lens? Explain this.
Two large conducting plates are placed parallel to each other with a separation of 2.00cm between them. An electron starting from rest near one of the plates reaches the other plate in 2.00 microseconds. Find the surface charge density on the inner surfaces.
Refer to figure. Find
  1. The magnitude.
  2. x and y components
  3. The angle with the X-axis of the resultant of $\overrightarrow{\text{OA}},\overrightarrow{\text{BC}}$ and $\overrightarrow{\text{DE}}.$
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In the circuit shown in Fig., when the input voltage of the base resistance is 10V, Vbe is zero and Vce is also zero. Find the values of Ib, Ic and β.

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A certain element emits $\text{K}_\alpha$ X-ray of energy 3.69keV. Use the data from the previous problem to identify the element.
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A compound microscope consists of an objective lens of focal length 2.0 cm and an eyepiece of focal length 6.25 cm separated by a distance of 15 cm. How far from the objective should an object be placed in order to obtain the final image at (a) the least distance of distinct vision (25 cm), and (b) at infinity? What is the magnifying power of the microscope in each case?