You could try trial and error method. As we have 2^x and x^2 in equation , x^2 is always positive hence 2^x is less than 100. hence x is less than 6,now put values of x=1,2,3,4,5,6. Here x=6 satisfies equation .Hence soln. is x=6.
If photons have no mass, why would black holes attract light?
I was told that photons have no mass. However I thought that black holes are called "black" because no light can go escape the gravity force in their vicinity. I somehow think that, if light is just photons, then it should not be...
Homework Statement
Let m be the number of numbers fromantic the set {1,2,3,...,2014} which can be expressed as difference of squares of two non negative integers. The sum of the digits of m is ...
Homework EquationsThe Attempt at a Solution
I got a solution from a magazine but I didn't under...
In short: the laws of conservation (angular momentum, charge, mass-energy, etc.) still work during the process of creation of a black hole. So if a star had some angular momentum/charge before it collapsed, the resulting black hole will also have some (assuming the angular momentum/charge was...
My book says 'Maximum work can be obtained only from thermodynamically reversible processes,' but why is it so? What is the cause?
Actually to me the definition of reversible process is confusing. It says that at each step during the process, equilibrium is maintained. But, let's say,we have to...
Why does hydroquinone possesses non zero dipole moment? The OH groups present at para positions on the benzene ring should cancel the effect of each other...if there is a plane change then exactly in which cases molecules do change planes?
No particle (or field) interacts directly with all other fields. Heck, gluons only barely interact with the rest of them. So why is it then that anything that has energy (e.g. everything that exists) also has a gravitational interaction? Gravity seems unique in that all particles interact...
A force, as I understand it, involves the interaction of matter particles with each other via a field. An energy quantisation of the field is the force carrying particle of the field.
In the case of gravity though, particles don't interact with one another in this way. General relativity...
After reading many questions, , I wonder:
is it possible to consider also the other fundamental forces, the electroweak interaction and the strong interaction or ultimately the unification of these, to be fictitious forces like gravity in the framework of general relativity?
If we want a final...
Have a look at this applet (it is designed for electrons in WDs, but will do here). It shows occupation index vs energy for fermions. To get the momentum distribution, you multiply this by the density of momentum states g(p) = 8pi p^2/h^3. Look at what happens when you increase the temperature...
Your first paragraph is not quite right. Gas pressure does not "stop" upon formation of an iron core, it is merely that the star cannot generate further heat from nuclear reactions and becomes unstable to collapse. i.e. The star does collapse! Perhaps what you mean is what halts the collapse...