Question

# How many times more energy is there in one photon of an x-ray with a frequency...

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

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.

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