Question
A 100W light bulb is placed at the centre of a spherical chamber of radius 20cm. 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.

Answer

Power = 100W Radius = 20cm 60% is converted to light = 60wNow, $\text{Force}=\frac{\text{power}}{\text{velocity}}=\frac{60}{3\times10^8}=2\times10^{-7}\text{N}.$
$\text{pressure}=\frac{\text{force}}{\text{area}}=\frac{2\times10^{-7}}{4\times3.14\times(0.2)^2}$
$\frac{1}{8\times3.14}\times10^{-5}$
$=0.039\times10^{-5}=3.9\times10^{-7}=4\times10^{-7}\text{N/m}^2.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

An object is to be seen through a simple microscope of focal length 12cm. Where should the object be placed so as to produce maximum angular magnification? The least distance for clear vision is 25cm.
Calculate the acceleration due to gravity at the surface of Mars if its diameter is $6760km$ and mass one tenth that of the earth. The diameter of earth is $12742km$ and acceleration due to gravity on the earth is $9.8m/ s^2$.
Two balls of different masses $m_1$ and $m_2 (m_1 > m_2)$ are thrown vertically upwards with the same initial speed $v_0$ simultaneously.
  1. Which one of the two balls, will rise to the greater height?
  2. Which of the two balls, will come back with greater speed to the point of projection?
  3. Which of the two balls, will come back first to the point of projection?
Figure shows a $11.7ft$ wide ditch with the approach roads at an angle of $15°$ with the horizontal. With what minimum speed should a motorbike be moving on the road so that it safely crosses the ditch?
Assume that the length of the bike is $5ft$, and it leaves the road when the front part runs out of the approach road.
A gram molecule of a gas at $127°C$ expands isothermally until its volume is doubled. Find the amount of work done and heat absorbed.
A molecule in a gas container hits a horizontal wall with speed $200ms^{-1}$ and angle 30° with the normal, and rebounds with the same speed. Is momentum conserved in the collision? Is the collision elastic or inelastic?
Figure shows the strain$-$stress curve for a given material. What are $(a)$ Young’s modulus and $(b)$ approximate yield strength for this material?
Two tuning forks A and B when sounded together give 4 beats/ sec, A in unison with the note emitted by a length 0.96m of a sonometer wire under a certain tension while B is in unison with 0.97m of the same wire under the same tension. Find the frequencies of the forks.
A cylindrical vessel filled with water upto a height of 2 m stands on a horizontal plane. The side wall of the vessel has a plugged circular hole touching the bottom. Find the minimum diameter of the hole so that the vessel begin to move on the floor, if the plug is removed. The coefficient of friction between the bottom of the vessel and the plane is 0.4 and total mass of water plus vessel is 100 kg.
A table with smooth horizontal surface is fixed in a cabin that rotates with angular speed o in a circular path of radius R. A smooth groove AB of length L(< < R) is made on the surface of table as shown in figure. A small particle is kept at the point A in the groove and is released to move, find the time taken by the particle to reach the point B.