The energy of a photon is given as, `Delta E`/atom `= 3.03 xx 10^(-19)J "atom"^(-1)` then, the wavelength `(lambda)` of the photon is
A. 6.56 nm
B. 65.6 nm
C. 656 nm
D. 0.656 nm
Correct Answer - C
(c) According to formula =, `E=(hc)/(lambda)(v=(c)/(lambda))`
Energy E=hv
`3.03xx10^(-19)=(hc)/(lambda)`
`lambda=(6.63xx10^(-34)xx3.0xx10^(8))/(3.03xx10^(-19))`
`=6.56xx10^(-7) m`
`=6.56xx10^(-7)xx10^(9)nm`
=`6.56xx10^(2) nm`
`=656 nm`
The wavelength of the emitted photon is given by
`(1)/(lambda)=R((1)/n_(1)^(2)-(1)/(3^(2)))`
When the transition takes place n =3 to n=2, then
`(1)/(lambda)=(1.097xx10^(7))((1)/(2^(2))-(1)/(3^(3)))`
`=1.097xx10^(7)xx(4)/(36)`
`:." " lambda=(36)/(1.097xx10^(7)xx5)=6.563xx10^(-7) m`
`=6563Å`
`lambda` falsl in...
Correct Answer - D
The de Brogli wavelength
`h=(h)/(mv)rArrv=(h)/(mlambda)`
Energy of photon
`E_(p)=(hc)/(lambda)(since lambda is same)`
Energy of Photon
Kinetic energy of photon `=(E_(p))/(E_(e))=(hc//lambda)/((1)/(2)1mu^(2))=(2hc)/(lambdamv^(2))`
substituting value of V from Eq (i)...
Correct Answer - C
Here ,`n_1=1` and `n_2=4`
Energy of photon absorbed, `e=-e_2-e_1`
`E_n=-(13.6)/n^2eV`
Since,
`E_2-E_1=-(13.6)/(4)^2-(-(13.6)/((1)^2))`
`=-(13.6)/(16)+13.6=(13.6xx15)/(16)eV`
`=12.75eV=12.75xx1.6xx10^(-19)J=20.4xx10^(-19)J`
`E_2-E_1=(hc)/(lambda)`
`therefore lambda =(hc)/(E_2-E_1)=(6.6xx10^(-34)xx3xx10^(8))/(20.4xx10^(10^(-19)))`
`=9.70xx10^(-8)m=970xx10^(-10)=970Å`.
Correct Answer - B
Using ,`E=E_g=(hc)/lambda`
`=(6.6xx10^(-34)xx3xx10^8)/(589xx10^(-9))J`
`=(6.6xx10^(-34)xx3xx10^8)/(589xx10^(-9)xx1.6xx10^(-19))`eV =2.1 eV
Let `lambda_(0)` is the threshold wavelength. The work function is `phi = (hc)/(lambda_(0))`
Now, by photoelectric equation `ex = (hc)/(lambda) - (hc)/(lambda_(0))` ……(i) `(ex)/(n+1) = (hc)/(nlambda) - (hc)/(lambda_(0))`……..(ii)
From (i)...
We have `[(lambda^(2)-2lambda+1,lambda-2),(1-lambda^(2)+3lambda,1-lambda^(2))]=Alambda^(2)+Blambda+C`
Putting `lambda=0`, we get
`C=[(1,-2),(1,1)]`
Putting `lambda=1`, we get
`A+B+C=[(0, -1),(3,0)]` ...(1)
Putting `lambda=-1`, we get
`A-B+C=[(4,-3),(-3,0)]`
Subtracting (2) from (1), we get
`2B[(0, -1),(3,0)]-[(4,-3),(-3,0)]=[(-4,2),(6,0)]`
`:. B=[(-2,...