A spherical balloon of volume 8000 em contains helium at an (inside) pressure of 1.2 10% Pa. How many molecules of helium are in the balloon if the average kinetic energy of the helium atoms is 6.3 10-22 J?

Let f(x) = x4- 8x2 . find the relativeextrema of this function using the second derivative test.

Glass is transparent to visibile light under normal conditions; however, at extremely high intensities, glass will absorb most of the light incident upon it. this works through a process known as multiphoton absorption. in this process, several photons are absorbed at the same time. if very intense light whose photons carry 2ev of energy is shined onto a material with a band gap of 4ev, that light can be absorbed through two-photon absorption, because two photons have the right amount of energy to bridge the band gap. what is the minimum number of photons of 800-nm light that are needed to equal or exceed the band gap of fused silica glass

Which statement is best supported by the information in the chart? wave y is moving the fastest. wave x is moving the fastest. all of the waves are moving at the same speed. all of the waves have the same value of wavelengths per second.