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42. Photoelectric Effect and Wave-Particle Duality
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Q44 of 69 Page 365

A sphere of radius 1.00 cm is placed in the path of a parallel beam of light of large aperture. The intensity of the light is 0.50 W cm–2. If the sphere completely absorbs the radiation falling on it, find the force exerted by the light beam on the sphere.

If the is fully absorbing then force exerted is


=


Then


Where I= intensity.


A=area


In this area, is the perpendicular area in which it falls.


∴


Hence, force is


=.


=


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8

A totally reflecting, small plane mirror placed horizontally faces a parallel beam of light as shown in figure. The mass of the mirror is 20g. Assume that there is no absorption in the lens and that 30% of the light emitted by the source goes through the lens. Find the power of the source needed to support the weight of the mirror. Take g = 10 m s–2.


9

A 100 W light bulb is placed at the center of a spherical chamber of radius 20 cm. Assume that 60% of the energy supplied to the bulb is converted into light and that the surface of the chamber is perfectly absorbing. Find the pressure exerted by the light on the surface of the chamber

11

Consider the situation described in the previous problem. Show that the force on the sphere due to the light falling on it is the same even if the sphere is not perfectly absorbing

12

Show that it is not possible for a photon to be completely absorbed by a free electron

Questions · 69
42. Photoelectric Effect and Wave-Particle Duality
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