A photon of X-ray has energy of 1 keV. A photon of visible radiation has energy of 3 eV. In this context, which one of the following statements is not correct?

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Q: 30 (CDS-I/2017)
A photon of X-ray has energy of 1 keV. A photon of visible radiation has energy of 3 eV. In this context, which one of the following statements is not correct?

question_subject: 

Science

question_exam: 

CDS-I

stats: 

0,13,37,14,9,16,11

keywords: 

{'visible radiation photon': [0, 0, 0, 1], 'visible radiation': [0, 0, 3, 2], 'different energies': [0, 0, 0, 1], 'photon': [0, 0, 0, 2], 'photons': [0, 0, 1, 2], 'wavelength': [0, 0, 3, 3], 'energy': [0, 0, 1, 2], 'frequency': [0, 0, 1, 3]}

Option 1 states that the wavelength of the X-ray photon is less than the wavelength of the visible radiation photon. This statement is correct. X-rays have shorter wavelengths than visible light, which is why they can pass through objects that block visible light.

Option 2 claims that both photons have different energies. This statement is correct. The X-ray photon has an energy of 1 keV, while the visible radiation photon has an energy of 3 eV. Since 1 keV is equal to 1000 eV, the energies are different.

Option 3 states that the speeds of both photons in vacuum are different. This statement is not correct. According to the theory of special relativity, all electromagnetic waves, including photons, travel at the same speed in vacuum, which is the speed of light (approximately 3 x 10^8 meters per second).

Option 4 suggests that the frequency of the X-ray photon is higher than the frequency of the visible radiation photon. This statement is correct. The frequency of a photon is directly proportional to its energy. Since the X-ray photon has a higher energy, its frequency is also higher compared to the visible radiation photon.

Therefore, option 3 is the correct answer because the speeds of both photons in a vacuum

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