Question

How many times more energy is there in one photon of an x-ray with a frequency of 1.00 x 10¹² s -1 than in one photon of a radar wave with a frequency of 2.00 x 10⁹ s -1 ?

What has more energy, 6.00 moles of photons of light with a frequency of 1.00 x 1012 s -1 or a can of diet pop that has 1.00 Calorie per can? 1.000 Calorie = 4184 Joules

Answer 1

a) energy of photon = hxfrequency where h = Planck's constant = 6.626x 10^-34 J .sec

Thus energy of photon =  6.626x 10^-34 J.sec x 1.00x10¹² sec^-1

= 6.62x10^-22J

similarly energy of radar wave = 6.626x 10^-34 J .sec x 2.00x10⁹ sec^-1

=1.3252x10 ^-25J

So energy of X-ray is 6.626x10^-22/1.325x10^-25 times= 5x10³ = 5000 times greater than energy of rada wave.

b) energy of a single photon = h x frqueny

= 6.626x 10^-34 J .sec x 1.00x 10¹²sec^-1

energy of 6 moles of potons = 6x 6.02x10²³x6.626x 10^-34 J .sec x 1.00x 10¹²sec^-1

=2393 J

energy of a can of diet pop = 1.00Cal = 1.00kcal = 4184 J

Thus the energy of diet pop is more tan 6 phtons o light of given frequency.