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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 0.5 W Cm−2. If the Sphere Completely Absorbs the Radiation Falling on It

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प्रश्न

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 0.5 W cm−2. If the sphere completely absorbs the radiation falling on it, find the force exerted by the light beam on the sphere.

(Use h = 6.63 × 10-34J-s = 4.14 × 10-15 eV-s, c = 3 × 108 m/s and me = 9.1 × 10-31kg)

योग
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उत्तर

Given:-

Radius of the sphere, r = 1 cm

Intensity of light, I = 0.5 Wcm−2

Let A be the effective area of the sphere perpendicular to the light beam.

So, force exerted by the light beam on the sphere is given by,

`F = P/c = (AI)/c`

`F = (pi xx (1)^2 xx 0.5)/(3 xx 10^8)`

`= (3.14 xx 0.5)/(3 xx 10^8)`

`= 0.523 xx 10^-8`

`= 5.2 xx 10^-9  "N"`

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अध्याय 42: Photoelectric Effect and Wave-Particle Duality - Exercises [पृष्ठ ३६५]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 42 Photoelectric Effect and Wave-Particle Duality
Exercises | Q 10 | पृष्ठ ३६५

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