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Work function of sodium is 2.35eV. What is the threshold wavelength and frequency of light that causes the photoelectrons to be emitted? What is the maximum kinetic energy of photoelectrons if radiation of 1000A falls on the metal surface? Calculate the stopping potential for the radiation.?
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Work function of sodium is 2.35eV. What is the threshold wavelength an...
**Threshold Wavelength and Frequency:**

The work function of sodium is given as 2.35 eV. To find the threshold wavelength and frequency of light that causes the photoelectrons to be emitted, we can use the equation:

E = hf - φ

where E is the energy of the incident photon, h is the Planck's constant (6.626 x 10^-34 J.s), f is the frequency of the incident light, and φ is the work function.

First, we need to convert the work function from electron volts (eV) to Joules (J). We know that 1 eV is equal to 1.6 x 10^-19 J. Therefore, the work function in Joules is:

φ = 2.35 eV * (1.6 x 10^-19 J/eV) = 3.76 x 10^-19 J

Next, we can rearrange the equation to solve for the frequency:

f = (E + φ) / h

Since we are looking for the threshold frequency, the energy of the incident photon is equal to the work function:

E = φ = 3.76 x 10^-19 J

Substituting the values into the equation, we get:

f = (3.76 x 10^-19 J + 3.76 x 10^-19 J) / (6.626 x 10^-34 J.s) ≈ 1.13 x 10^15 Hz

The threshold frequency is approximately 1.13 x 10^15 Hz.

To find the threshold wavelength, we can use the equation:

c = λf

where c is the speed of light (3 x 10^8 m/s) and λ is the wavelength.

Rearranging the equation to solve for the wavelength, we get:

λ = c / f = (3 x 10^8 m/s) / (1.13 x 10^15 Hz) ≈ 2.66 x 10^-7 m

The threshold wavelength is approximately 2.66 x 10^-7 m or 266 nm.

**Maximum Kinetic Energy of Photoelectrons:**

To calculate the maximum kinetic energy of photoelectrons, we can use the equation:

E = hf - φ

where E is the energy of the incident photon, h is the Planck's constant (6.626 x 10^-34 J.s), f is the frequency of the incident light, and φ is the work function.

The energy of the incident photon can be calculated using the equation:

E = hc / λ

where h is the Planck's constant (6.626 x 10^-34 J.s), c is the speed of light (3 x 10^8 m/s), and λ is the wavelength of the incident light.

Substituting the values into the equation, we get:

E = (6.626 x 10^-34 J.s) * (3 x 10^8 m/s) / (1000 x 10^-10 m) = 1.99 x 10^-19 J

Next, we can calculate the maximum kinetic energy of photoelectrons:

E = hf - φ

E = (6.626 x 10^-34 J.s) * (1.13 x 10^15 Hz) - (3.76 x 10^-
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Work function of sodium is 2.35eV. What is the threshold wavelength and frequency of light that causes the photoelectrons to be emitted? What is the maximum kinetic energy of photoelectrons if radiation of 1000A falls on the metal surface? Calculate the stopping potential for the radiation.?
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Work function of sodium is 2.35eV. What is the threshold wavelength and frequency of light that causes the photoelectrons to be emitted? What is the maximum kinetic energy of photoelectrons if radiation of 1000A falls on the metal surface? Calculate the stopping potential for the radiation.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Work function of sodium is 2.35eV. What is the threshold wavelength and frequency of light that causes the photoelectrons to be emitted? What is the maximum kinetic energy of photoelectrons if radiation of 1000A falls on the metal surface? Calculate the stopping potential for the radiation.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Work function of sodium is 2.35eV. What is the threshold wavelength and frequency of light that causes the photoelectrons to be emitted? What is the maximum kinetic energy of photoelectrons if radiation of 1000A falls on the metal surface? Calculate the stopping potential for the radiation.?.
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