Question

how does the max kinetic energy of electrons emitted vary with work function of the metal

Answer 1

Hello mate.

thanks for asking this good question.

$your\:answer\:is=>$

according to Einstein's Photoelectric equation ,

Energy of photon varies with kinetic energy max. $(K.E._{max})$ and work function as =>

E = $K.E._{max}$ + work function.

# E = Total energy of electron

# work function = minimum amount of energy required to liberate electron from metal surface

# $K.E._{max}$= amount of energy acquired by electron when emmited from metal surface.

hence , we can say that ,

$\boxed {K.E._{max}\:= \:E - work \:function}$

To know More =>

$[K.E._{max}=\:e{v_o}]$

where , e = charge on electron

$V_o =\: frequency \:of\:emmited\:electron$

# hence , relation between KE maximum and work function is given in above boxed equation.

hope u understood ^_^

BeBRAINLY
BeHappy

Answer 2

K.E ( kinetic energy ) = h ( f - f₀ ) 

           h ----- > plank's constant

           f₀ ------> Threshold frequency

           f --------> Frequency 

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         h = 6.626 × 10⁻³⁴

         f₀ = 7× 10¹⁴ Hz

         f = 1 × 10¹⁵ Hz

K.E = (6.626 ×10⁻³⁴ ) ₓ [ (1 × 10¹⁵)  - (7× 10¹⁴)]

      = 1.987 × 10⁻¹⁹ J //