Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective cases is x:y. The value of x is .

Question

Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective cases is x:y. The value of x is . (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

For photoelectric effect. Emax=E-φ, E1=2φ,k1=φ E2=10φ,k2=9φ ∴ V propto √k ( k =(1/2) mv 2) (v1/v2)=√(1/9)⇒ (1/3)=(x/y) x=1

Q. Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective cases is $x : y .$ The value of $x$ is ______ .

For photoelectric effect. $E_{ma x} = E - ϕ,$ $E_{1} = 2 ϕ, k_{1} = ϕ$
$E_{2} = 10 ϕ, k_{2} = 9 ϕ$
$∴ V \propto k$
$(k = \frac{1}{2} m v^{2})$
$\frac{v _{1}}{v _{2}} = \frac{1}{9} \Rightarrow \frac{1}{3} = \frac{x}{y}$
$x = 1$

Q. Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective cases is x:y. The value of x is ______ .

For photoelectric effect. Emax​=E−ϕ, E1​=2ϕ,k1​=ϕ E2​=10ϕ,k2​=9ϕ ∴V∝k​ (k=21​mv2) v2​v1​​=91​​⇒31​=yx​ x=1

Q. Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective cases is $x : y .$ The value of $x$ is ______ .

For photoelectric effect. $E_{ma x} = E - ϕ,$ $E_{1} = 2 ϕ, k_{1} = ϕ$
$E_{2} = 10 ϕ, k_{2} = 9 ϕ$
$∴ V \propto k$
$(k = \frac{1}{2} m v^{2})$
$\frac{v _{1}}{v _{2}} = \frac{1}{9} \Rightarrow \frac{1}{3} = \frac{x}{y}$
$x = 1$