Homework Statement
B=10^-7Wm^-2Hz^-1sr^-1;T=10^4K
h=6.6x10^-34J.s
k=1.4x10-23JK^-1
c=3.0x10^8m^-1
Homework Equations
Calculate v fom Bv(T)=(2hv^3)/(c^2)x1/(exp(hv/kT)-1)
The Attempt at a Solution
I have managed to obtain a LHS= (Bc^2/2h)xexp(h/kT)
but RHS is posing a problem...
Actually =Bc^2 exp(h.kT)/2h
I think I correctly calculated the exp(h/kT) bit but I just can't figure out the rest of the equation on the RHS
Thanks for looking
I can't resolve v(cubed)/exp(v)-1
which is the RHS of an equation that has been sorted out of the left!
I am rather hoping that this becomes v(cubed)/v which simplifies to v^2.
Thanks
Can anyone help me get my head around this one?
A star with a parallax angle of pi = 10 millisecs and has apparent magnitude of V= 10.2
How can I determine absolute magnitude:
I have the formula M=v -5logd -5 +A which can be ignored.
d=1/pi but I am always determining d which is less than...
Thanks to all you good guys!
Is the Planck function mentioned above, valid for high frequency range where v>>kt/h?
What would a graph look like; v against kt/h?...an exponential rising upwards and rapidly from 0. How would the range on the y-axis appear 10^-1 to 10^-10 for example or the...
Thanks 82
I actually thought that the result would be of little consequence;
I'll look closely at the differentiation!
Obviously now that I see it, with h=constant and K=constant, any overall increase over 1 must mean the value of v increases against T which I assume doesn't change either...
for hv>>kT how does exp(hv/kT) compare to 1?
I understand hv >>KT leads to an exponential fall in brightness but why did Planck introduce 1 in his equation.
and only for values hv<<kT can this exponential be expanded!
Thanks for any help!