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qUESTIONS

The charge per unit area of a large flat sheet of charge is 3μC/m2. Calculate the electric field intensity at a point just near the surface of the sheet, measured from its midpoint.

The length of a straight thin wire is 2 m. It is uniformly charged with a positive charge of 3μC. Calculate: (i) the charge density of the wire (ii) the electric intensity due to the wire at a point 1.5 m away from the center of the wire

A sphere of radius 10 cm carries a charge of1µC. Calculate the electric field (i) at a distance of 30 cm from the center of the sphere (ii) at the surface of the sphere and (iii) at a distance of 5 cm from the center of the sphere.

The distance between two consecutive bright fringes in a biprism experiment using light of wavelength 6000 Å is 0.32 mm by how much will the distance change if light of wavelength 4800 Å is used?

A star is emitting light at the wavelength of 5000 Å. Determine the limit of resolution of a telescope having an objective of a diameter of 200 inch.

Monochromatic electromagnetic radiation from a distant source passes through a slit. The diffraction pattern is observed on a screen 2.50 m from the slit. If the width of the central maximum is 6.00 mm, what is the slit width if the wavelength is (a) 500 nm (visible light); (b) 50 µm (infrared radiation); (c) 0.500 nm (X-rays)?

What must be the ratio of the slit width to the wavelength for a single slit to have the first diffraction minimum at 45.0°?

A parallel beam of green light of wavelength 546 nm passes through a slit of width 0.4 mm. The intensity pattern of the transmitted light is seen on a screen which is 40 cm away. What is the distance between the two first order minima?

The intensity of the light coming from one of the slits in Young’s experiment is twice the intensity of the light coming from the other slit. What will be the approximate ratio of the intensities of the bright and dark fringes in the resulting interference pattern?

In Fraunhoffer diffraction by a narrow slit, a screen is placed at a distance of 2 m from the lens to obtain the diffraction pattern. If the slit width is 0.2 mm and the first minimum is 5 mm on either side of the central maximum, find the wavelength of light.

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