I think the same .
Why ?
Irrespective of the heat capacity of the hot object , it will start cooling down till it's temperature becomes equal to the room temperature .
Rate of Heat transfer is proportional to the temperature difference (fourth power) . It will be maximum initially and...
In the OP in part c) I have assumed energy to be kinetic energy in which case the momentum of proton was more and wavelength smaller .
But if I consider energy to be relativistic energy in part c) , then momentum of photon comes out to be less and wavelength of proton is longer .
I hope you...
Please confirm one thing .
What is your interpretation of the problem statement ?
Are you comparing
1) the time before and after the hot body is placed .
OR
2) the time after the hot body is placed till thermal equilibrium is achieved .
Don't you think we just need to consider whether the rate of heat transfer decreases or not ?
As the temperature of hot body decreases , rate of heat transfer decreases . As a consequence , the photons comprising the heat radiations should decrease with time .
Please have a relook at the OP...
Could you explain why my assumption that time after the hot body is placed is incorrect .
Don't you think wording of the question should have been " Has the number of photons increased ? " if the question wanted to compare the number before and after the hot body is placed ?
Homework Statement
Homework Equations
The Attempt at a Solution
No .
The number of photons should decrease . As the rate of heat transfer decreases with time , the net electromagnetic radiation from the hot body to the surroundings decrease .
Heat radiations are composed of photons ...
No :smile:
I asked because E = Pc doesn't involve vectors whereas in the OP direction of momentum vector was to be considered while relating to wavelength (energy ) .
In the relation E = Pc for a photon, are both the terms on RHS (momentum and speed ) treated as vectors and is it that a dot product is taken so as to get the energy term E ?
Are the two expressions equivalent ?
What should we put for P (momentum ) ?
Should it be mv ?
I am studying basics of photons , so I am quite hesitant to use mv for momentum for other particles as well .