A plate of mass 10 text{ g} is in equilibrium | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For the plate to be in equilibrium,the radiation force exerted by the light beam must balance the weight of the plate.Given mass $m = 10 	ext{ g}

Vedclass · Accepted Answer

$3 	imes 10^7 	ext{ W}$

Vedclass · Answer

(B) For the plate to be in equilibrium,the radiation force exerted by the light beam must balance the weight of the plate.Given mass $m = 10 	ext{ g} = 10 	imes 10^{-3} 	ext{ kg} = 10^{-2} 	ext{ kg}$.Acceleration due to gravity $g = 10 	ext{ m/s}^2$.Speed of light $c = 3 	imes 10^8 	ext{ m/s}$.The radiation force $F$ on a perfectly absorbing surface is given by $F = \frac{P}{c}$,where $P$ is the power of the beam.For equilibrium,$F = mg$.Therefore,$\frac{P}{c} = mg$.$P = mgc$.Substituting the values:$P = (10^{-2} 	ext{ kg}) 	imes (10 	ext{ m/s}^2) 	imes (3 	imes 10^8 	ext{ m/s})$.$P = 10^{-1} 	imes 3 	imes 10^8 	ext{ W} = 3 	imes 10^7 	ext{ W}$.

$A$ plate of mass $10 \text{ g}$ is in equilibrium in air due to the force exerted by a light beam on the plate. Calculate the power of the beam,if the plate is perfectly absorbing.

Similar Questions

$A$ small object at rest absorbs a light pulse of power $20\,mW$ and duration $300\,ns$. Assuming the speed of light as $3 \times 10^8\,m/s$,the momentum of the object becomes equal to $.........\times 10^{-17}\,kg\,m/s$.

Electromagnetic radiation of intensity $0.6 \ W/m^2$ is falling on a black surface. The radiation pressure on the surface is

$A$ bulb of power $660 \,W$ radiates uniformly in all directions. The pressure exerted by the radiation on the surface at a distance of $5 \,m$ is

What is radiation pressure?

Radiation of intensity $I$ is falling obliquely on a surface. The area of the surface exposed to radiation is $A$. The angle of incidence with the normal is $\theta$. Select the correct alternative,where $\beta$ is a constant that depends upon the nature of the surface.

Vedclass Test Series

Exam Paper Generator

Online Exam Module