(A) For a non-reflecting (totally absorbing) surface,the radiation pressure $P$ is given by $P = \frac{F}{A} = \frac{I}{c}$,where $I$ is the intensity

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$20 \times 10^4 \text{ Wm}^{-2}$

(A) For a non-reflecting (totally absorbing) surface,the radiation pressure $P$ is given by $P = \frac{F}{A} = \frac{I}{c}$,where $I$ is the intensity (energy flux) and $c$ is the speed of light.Given:Force $F = 10^{-6} \text{ N}$Area $A = 15 \text{ cm}^2 = 15 \times 10^{-4} \text{ m}^2$Speed of light $c = 3 \times 10^8 \text{ ms}^{-1}$Rearranging the formula for intensity $I$:$I = \frac{F \cdot c}{A}$Substituting the values:$I = \frac{10^{-6} \times 3 \times 10^8}{15 \times 10^{-4}}$$I = \frac{3 \times 10^2}{15 \times 10^{-4}}$$I = \frac{3}{15} \times 10^6 = 0.2 \times 10^6 \text{ Wm}^{-2} = 20 \times 10^4 \text{ Wm}^{-2}$.

Class 12 Physics Dual Nature of Radiation and matter Radiation Force and Pressure

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Light falls on a non-reflecting surface normally. If the average force exerted on a surface with area $15 \text{ cm}^2$ during a $20 \text{ minute}$ time interval is $10^{-6} \text{ N}$,then the energy flux (intensity) of light is (Velocity of light $= 3 \times 10^8 \text{ ms}^{-1}$)

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A
$20 \times 10^4 \text{ Wm}^{-2}$
B
$15 \times 10^4 \text{ Wm}^{-2}$
C
$25 \times 10^4 \text{ Wm}^{-2}$
D
$10 \times 10^4 \text{ Wm}^{-2}$

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Dual Nature of Radiation and matter

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Radiation Force and Pressure

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Light falls on a non-reflecting surface normally. If the average force exerted on a surface with area $15 \text{ cm}^2$ during a $20 \text{ minute}$ time interval is $10^{-6} \text{ N}$,then the energy flux (intensity) of light is (Velocity of light $= 3 \times 10^8 \text{ ms}^{-1}$)

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An astronaut floating freely in space decides to use his flashlight as a rocket. He shines a $10$ $W$ light beam in a fixed direction so that he acquires momentum in the opposite direction. If his mass is $80$ kg,how long must he shine the light to reach a velocity of $1$ $m/s$?

Radiations of intensity $0.5 \ Wm^{-2}$ are striking a metal plate. The pressure exerted on the plate is:

$A$ light bulb of power $100 \ W$ is placed at the centre of a hollow sphere of radius $10 \ cm$. If $66\%$ of the energy is converted into light,then the pressure exerted by the light on the surface of the sphere will be (Assume the surface of the sphere to be perfectly absorbing).

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