26A) the frquency of gamma radiation is 10 22 HZ. if plancks constant, h is equa

Question

26A) the frquency of gamma radiation is 1022HZ. if plancks constant, h is equal to 6.6 x 10-22 J s, what is the energy of each gamma ray photon show ur caculations.

26B) The energy of each photon of visible light have about 6.6 x 10-19 j of energy. which has a higher frequency, visible light or gamma rays? Give an explantion for your answer based on the relationship between energy amd frequency.

26C) which has a longer wavelenght, gamma radiation or visible light? How do you know?

26D) if a beam of visible light causes a peice of metal to eject electrons, do you think that a beam of gamma rays would cause the metal to eject electrons? why or why not?

Thank you for your time. =]

Explanation / Answer

26A)

Frequency f = 1022

h = 6.6 x 10-22

E = hf

E = 6.6 x 10-22 x 1022 = 6.6 J

Hence energy of each gamma ray is 6.6 J.

26B)

Energy = Frequency x Planck's Constant.

So, Energy is proportional to Frequency.

In previous problem we have seen that energy of gamma ray is 6.6 J. It is given that energy of visible light is 6.6 x 10-19 J, which is way less than the energy of gamma rays.

Hence we can conclude that Frequency of gamma rays is higher than Frequency of visible light.

26C)

Frequency = 1/ Wave length

Hence, more the frequency, shorter the wavelength.

Since Visible Light has lesser frequency than Gamma rays, wave length of Visible light is longer.

26D)

More the frequency, more is the energy.

Gamma rays have more frequency than visible light.

So, gamma rays have higher energy that visible light.

To eject an electron from a metal, some energy is required. If visible light has sufficient energy, gamma rays definetly have more than the required amount. Hence gamma rays can eject electrons form that metal.

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