4. The mass of an electron is 9.1 X 10 kg. If its K.E. is 3.0 X10 –25 J, calculate its wavelength.
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Hi friend, :)
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formale to be known:
if Δ=wavelength; h=Plank's const. ; p=momentum;
then:
Δ=h/p ; p= mv .... when related with kinetic energy..... p= √(2mK )(where K is the kinetic energy)
∴ Δ= h/√(2mk)
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Given:
Me= 9.1 x 10^-31 Kg ; K=3 x 10^-25 J ; Δ=?
now........ using this formula..... :
Δ= (h)/(√(2 x Me x K)
⇒ Δ=(6.625 x 10^ -34 )/√(2 x 9.1 x 10^-31 x 3 x 10^-25)
⇒ Δ= 8.96 x 10^-7 [ ans.] ;p
_____________________________________________________
Enjoy ;)
_________________________________________________________
formale to be known:
if Δ=wavelength; h=Plank's const. ; p=momentum;
then:
Δ=h/p ; p= mv .... when related with kinetic energy..... p= √(2mK )(where K is the kinetic energy)
∴ Δ= h/√(2mk)
__________________________________________________
Given:
Me= 9.1 x 10^-31 Kg ; K=3 x 10^-25 J ; Δ=?
now........ using this formula..... :
Δ= (h)/(√(2 x Me x K)
⇒ Δ=(6.625 x 10^ -34 )/√(2 x 9.1 x 10^-31 x 3 x 10^-25)
⇒ Δ= 8.96 x 10^-7 [ ans.] ;p
_____________________________________________________
Enjoy ;)
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