Three discs A, B and C having radii 2 m, 4m, and 6 m, respectively are coated with carbon black on their outer surfaces. The wavelengths corresponding to maximum intensity are 3 m, 4 m and 5 m respectively. The power radiated by them are `P_(A),P_(B)andP_(C )` respectively. Find the ratio of powers emitted by the three discs.
Text Solution
AI Generated Solution
To find the ratio of powers emitted by the three discs A, B, and C, we will use the principles of Stefan-Boltzmann law and Wien's displacement law.
### Step-by-Step Solution:
1. **Understanding the Relationship**:
- According to Stefan's law, the power radiated (P) by a black body is proportional to the fourth power of its absolute temperature (T):
\[
P \propto T^4
...
Three discs, A, B and C having radii 2m, 4m and6m respectively are coated with carbon black on their outer surfaces. The wavelengths corresponding to maximum intensity are 300nm, 400nm and 500 nm , respectively. The power radiated by them are Q_A, Q_B and Q_C respectively (a) Q_A is maximum (b) Q_B is maximum (c) Q_C is maximum (d) Q_A = Q_B = Q_C
Find the surface area of a chalk box whose length, breadth and height are 16c m ,8cm and 6c m , respectively.
The areas of two similar triangles are 9\ c m^2 and 16\ c m^2 respectively . The ratio of their corresponding sides is
The length, breadth and height of a room are 5m, 4.5m and 3m, respectively. Find the volume of the air it contains.
If wavelengths of maximum intensity of radiations emitted by the sun and the moon are 0.5xx10^(-6)m " and " 10^(-4) m respectively, the ratio of their temperature is ……………
If wavelength of maximum intensity of radiation emitted by sun and moon are 0.5xx10^(-6) m and 10^(-4) m respectively. Calculate the ratio of their temperatures
In parallelogram A B C D ,A B=10c m . The altitudes corresponding to the sides A B and A D are respectively 7c m and 8c m . Find A D .
Two planets of masses M and M/2 have radii R and R/2 respectively. If ratio of escape velocities from their surfaces (v_1)/(v_2) is n/4 , then find n :
The volume and the curved surface area of a cylinder are 1650\ c m^3a n d\ 660\ c m^2 respectively. Find the radius and height of the cylinder.
Two metal spheres have radii rand 2r and they emit thermal radiation with maximum intensities at wavelengths lambda and 2lambda . respectively. The respective ratio of the radiant energy emitted by them per second will be
VMC MODULES ENGLISH-PROPERTIES OF MATTER-JEE Advanced (Archive) Level - 2 (MATRIX MATCH TYPE)
