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10. If an electron jumps from second orbit to first orbit in hydrogen atom, it emits photon of

Question

10. If an electron jumps from second orbit to first orbit in hydrogen atom, it emits photon of

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Solution

When an electron jumps from a higher energy level (second orbit) to a lower energy level (first orbit) in a hydrogen atom, it emits a photon. This is due to the conservation of energy. The energy difference between the two orbits is released in the form of a photon.

The energy of the emitted photon can be calculated using the formula:

E = hf

where: E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 Joule second), and f is the frequency of the photon.

The frequency can be calculated using the Rydberg formula:

1/λ = RZ^2 (1/n1^2 - 1/n2^2)

where: λ is the wavelength of the photon, R is the Rydberg constant (1.097 x 10^7 per meter), Z is the atomic number (for hydrogen, Z=1), n1 is the lower energy level (for the first orbit, n1=1), and n2 is the higher energy level (for the second orbit, n2=2).

After calculating the wavelength using the Rydberg formula, you can find the frequency using the speed of light (c = 3.00 x 10^8 meters per second):

f = c/λ

Finally, you can find the energy of the photon using the E = hf formula.

This problem has been solved

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