NEET Chemistry Questions: Structure of Atom

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In photoelectric effect, the kinetic energy of photoelectrons increases linearly with the





In the photoelectric effect, the kinetic energy of the emitted photoelectrons is directly proportional to the frequency of the incident light, not its wavelength, velocity, or any property of the metal. This relation is given by Einstein's photoelectric equation.

Slope of V0 vs v curve is (where V0=stopping potential, v=subjected frequency)





hv=hv0+KEhv=hv0+eV0V0=hve-hv0e   y=mx+cm=he

The photoelectric emission from a surface starts only when the light incident upon the surface has certain minimum:





3.

The minimum frequency required for the emission of electrons is called threshold frequency below which no photoelectron is emitted. ... The minimum energy required for the emission of photoelectrons from a metal is called work function of that metal

 

If λ0 and λ be the threshold wavelength and the wavelength of incident light, the velocity of photo-electrons ejected from the metal surface is:





As per Einstein's equation of photoelectric effect hv=hv0+K.E.

  12mv2=hv-hv0=hcλ-hcλ0              v2=2hcm1λ-1λ0;              v=2hcm1λ-1λ01/2         2hcmλ0-λλλ01/2

The ratio of slopes of Kmax vs. v and V0 vs. v curves in the photoelectric effect gives (v=frequency, Kmax=maximum kinetic energy, V0 stopping potential):





hv=hv0+eV0;     eV0=hv-hv0   orV0=hev-hev0;      slope1=heSimilarly,  hv=hv0+Kmaxor      Kmax=hv-hv0;slope2=h, slope2slope1=hh/e=e

Which of the following has the largest de Broglie wavelength (all have equal velocity)





wavelength is inversely proportional to mass.

An excited state of H atom emits a photon of wavelength λ and returns in the ground state, the principal quantum number of excited state is given by:





 1λ=R1n12-1n22;  n1=1, n2=?;      1λ=R11-1n22  n22=-1  n2=λRλR-1

A dye absorbs a photon of wavelength λ and re-emits the same energy into two photons of wavelengths λ1 and λ2 respectively. The wavelength λ is related with λ1 and λ2 as:





E=E1+E2; hcλ=hcλ1+hcλ2 hcλhc λ2+λ1λ1λ2;  λ=2λ1λ2λ1+λ2