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Q.

When the energy of the incident radiation is increased by 20%, the kinetic energy of the photoelectrons emitted from a metal surface increased from 0.5 eV to 0.8 eV. The work function of the metal is

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a

0.65 eV

b

1.0 eV

c

1.3 eV

d

1.5 eV

answer is B.

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Detailed Solution

According to Einstein's photoelectric equation, The kinetic energy of emitted photoelectrons is K=hv-ϕ0where hν is the energy of incident radiation and ϕ0 is work function of the metal. As per question, As per question,0.5eV=hv-ϕ0  ......................(i)0.8eV=1.2hv-ϕ0  .................(ii)            On solving eqns. (i) and (ii), we get ϕ0=1.0eV
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When the energy of the incident radiation is increased by 20%, the kinetic energy of the photoelectrons emitted from a metal surface increased from 0.5 eV to 0.8 eV. The work function of the metal is