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A Filter Transmits Only the Radiation of Wavelength Greater than 440 Nm. Radiation from a Hydrogen-discharge Tube Goes Through Such a Filter and is - Physics

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प्रश्न

A filter transmits only the radiation of wavelength greater than 440 nm. Radiation from a hydrogen-discharge tube goes through such a filter and is incident on a metal of work function 2.0 eV. Find the stopping potential which can stop the photoelectrons.

बेरीज
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उत्तर

Wavelength of radiation coming from filter, λ = 440 nm

Work function of metal, ϕ = 2 eV

Charge of the electron​, e = 1.6 × 10-9 C

Let V0 be the stopping potential.

From Einstein's photoelectric equation,

`(hc)/lamda - ø=eV_0`

Here,

h =Planck constant

= Speed of light

λ = Wavelength of radiation

`(4.14 xx 10^-15xx3xx10^8)/(440xx10^-9)- 2eV = eV_0`

⇒ `eV_0 = ((1242)/440 - 2)eV = 0.823`

⇒ `V_0 = 0.823` Volts

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पाठ 21: Bohr’s Model and Physics of Atom - Exercises [पृष्ठ ३८५]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
पाठ 21 Bohr’s Model and Physics of Atom
Exercises | Q 41 | पृष्ठ ३८५

संबंधित प्रश्‍न

Calculate the radius of Bohr’s fifth orbit for hydrogen atom


Explain, giving reasons, which of the following sets of quantum numbers are not possible.

  1. n = 0, l = 0, ml = 0, ms = + ½
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  3. n = 1, l = 1, ml = 0, ms = + ½
  4. n = 2, l = 1, ml = 0, ms = – ½
  5. n = 3, l = 3, ml = –3, ms = + ½
  6. n = 3, l = 1, ml = 0, ms = + ½

Calculate the energy required for the process 

\[\ce{He^+_{(g)} -> He^{2+}_{(g)} + e^-}\]

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  2. Calculate the orbital period in each of these levels.

State Bohr's postulate to define stable orbits in the hydrogen atom. How does de Broglie's hypothesis explain the stability of these orbits?


Using Bohr’s postulates, derive the expression for the frequency of radiation emitted when electron in hydrogen atom undergoes transition from higher energy state (quantum number ni) to the lower state, (nf).

When electron in hydrogen atom jumps from energy state ni = 4 to nf = 3, 2, 1, identify the spectral series to which the emission lines belong.


The electron in hydrogen atom is initially in the third excited state. What is the maximum number of spectral lines which can be emitted when it finally moves to the ground state?


The Bohr radius is given by  `a_0 = (∈_0h^2)/{pime^2}`. Verify that the RHS has dimensions of length.


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A beam of  light having wavelengths distributed uniformly between 450 nm to 550 nm passes through a sample of hydrogen gas. Which wavelength will have the least intensity in the transmitted beam?


According to Bohr, 'Angular momentum of an orbiting electron is quantized'. What is meant by this statement?


Mention demerits of Bohr’s Atomic model.


The energy associated with the first orbit of He+ is ____________ J.


For an electron in the second orbit of hydrogen, what is the moment of momentum as per the Bohr's model?


Use Bohr's postulate to prove that the radius of nth orbit in a hydrogen atom is proportional to n2.


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Energy and radius of first Bohr orbit of He+ and Li2+ are:

[Given RH = −2.18 × 10−18 J, a0 = 52.9 pm]


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