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A sodium bulb of 150W radiates 8 percent of the absorbed energy as yellow light of wavelength 4000 angstrom.find the number of quanta emitted by the bulb per second?
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A sodium bulb of 150W radiates 8 percent of the absorbed energy as yel...
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A sodium bulb of 150W radiates 8 percent of the absorbed energy as yel...
Given data:
- Power of sodium bulb (P) = 150W
- Percentage of absorbed energy radiated as yellow light (R) = 8%
- Wavelength of yellow light (λ) = 4000 angstroms

Calculating the absorbed energy:
The power of the bulb represents the rate at which it consumes energy. Therefore, the energy absorbed by the bulb per second can be calculated using the formula:

Energy absorbed (E) = Power (P) x Time (t)

Since the time is not given, we will assume it to be 1 second for simplicity.
Hence, E = P x t = 150W x 1s = 150 Joules

Calculating the energy radiated as yellow light:
The percentage of absorbed energy that is radiated as yellow light is given as 8%. Therefore, the energy radiated as yellow light can be calculated using the formula:

Energy radiated as yellow light (E_yellow) = R/100 x E

Substituting the given values, we get:
E_yellow = 8/100 x 150 Joules = 12 Joules

Calculating the number of quanta emitted:
To calculate the number of quanta emitted, we need to convert the energy radiated as yellow light (E_yellow) into quanta using the formula:

Energy (E) = Number of quanta (n) x Energy per quantum (E_q)

The energy per quantum can be calculated using the equation:
E_q = hc/λ

Where:
h = Planck's constant (6.626 x 10^-34 J.s)
c = speed of light (3 x 10^8 m/s)
λ = wavelength of yellow light (4000 angstroms)

Converting the wavelength from angstroms to meters:
1 angstrom = 10^-10 meters
4000 angstroms = 4000 x 10^-10 meters = 4 x 10^-7 meters

Substituting the values into the equation, we get:
E_q = (6.626 x 10^-34 J.s x 3 x 10^8 m/s) / (4 x 10^-7 m)
E_q = 4.9695 x 10^-19 Joules

Now, we can calculate the number of quanta emitted:
n = E_yellow / E_q
n = 12 Joules / (4.9695 x 10^-19 Joules)
n ≈ 2.41 x 10^19 quanta

Therefore, the sodium bulb emits approximately 2.41 x 10^19 quanta of yellow light per second.
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A sodium bulb of 150W radiates 8 percent of the absorbed energy as yellow light of wavelength 4000 angstrom.find the number of quanta emitted by the bulb per second?
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A sodium bulb of 150W radiates 8 percent of the absorbed energy as yellow light of wavelength 4000 angstrom.find the number of quanta emitted by the bulb per second? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A sodium bulb of 150W radiates 8 percent of the absorbed energy as yellow light of wavelength 4000 angstrom.find the number of quanta emitted by the bulb per second? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sodium bulb of 150W radiates 8 percent of the absorbed energy as yellow light of wavelength 4000 angstrom.find the number of quanta emitted by the bulb per second?.
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