Orbital angular momentum associated with 2p-electron is:
A. `sqrt(2)h)/(pi)`
B. `0`
C. `sqrt(6)xx(h)/(pi)`
D. `(h)/sqrt(2pi)`
1 Answers
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An electron with speed v and a photon with speed c have the same de-Broglic wavelength. If the kinetic energy and momentum of electron is `E_(e)` and
Correct Answer - B `(E_(e))/(E_(p))=((1)/(2)mv^(2))/(hupsilon)=(1)/(2)vxx(mv)/(h).(h)/(hupsilon)` But `(h)/(mv)=(h)/(hupsilon)` `:.(E_(e))/(E_(ph))=(1)/(2)v[(mv)/(h).(h)/(hupsilon).(c)/(c)]=(v)/(2c)`
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The orbital angular momentum of electron in the `n_(1)th` shell of element of atomic number `Z_(1) is L_(1)` an the same in the `n_(2)th` shell of ele
Correct Answer - A `L=(nh)/(2pi)` it does not denpend on Z
2 Answers 1 views
de-Broglie wavelength of an electron in the nth Bohr orbit is `lambda_(n)` and the angular momentum is `J_(n)` then
Correct Answer - A `lambda (h)/(p)=(h)/(mv)` or `" " lambda prop (1)/(v)` `:. " " lambda_(n)prop n rArr J_(n)=n(h)/(2pi) i.e., J_(n) prop n` Hence, `" " lambda_(n)propJ_(n)`
2 Answers 1 views
Assertion Angular momentum of single electron in any orbit or hydrogen type atom is independent of the atomic number of the element. Reason In ground
Correct Answer - B `L=n((h)/(2pi))i.e.,Lpropn.` In ground state n=1 so L= minimum.
2 Answers 4 views
If `13.6eV` energy is required to separate a hydrogen atom into a proton and an electron, then the orbital radius of electron in a hydrogen atom is
Correct Answer - A Here, `E=-13.6eV=-13.6xx1.6xx10^(-19)=-2.2xx10^(-18)J` `E=(-e^2)/(8piepsilon_0r)` `therefore` As orbital radius, `r=(-e^2)/(8piepsilon_0E)=(9xx10^(9)xx(1.6xx10^(-19))^2)/(2xx(2.2xx10^(-18)))=5.3xx10^(-11)m`.
2 Answers 1 views
Deduce the condition when the De-Broglie wavelength associated with an electron would be equal to that associated with a proton if a proton is `1836`
Correct Answer - `v_(e)=1836 v_(p)` Debroglie wavelength associated with particle of mass `(m)` moving with velocity `(v)` is `lambda=h/(mv) rArr lambda_(P)=h/(m_(P)v_(P))` and `lambda_(e)=h/(m_(e)v_(e))` given `lambda_(p)=lambda_(e) rArr (h)/(m_(p)v_(p))=h/(m_(e)v_(e)) rArr m_(p)v_(p)=m_(e)v_(e)` `v_(e)/v_(p)=m_(p)/m_(e)=1836 rArr...
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Permissible value of orbit angular momentum of electron in a H-like atom will be
Correct Answer - A Permissible value of orbit angular momentum of `e^(-)=n((h)/(2pi))` n = 1, 2, 3………… for n = 3, orbit angular momentum = `1.5 ((h)/(pi))`
2 Answers 1 views
In H-atom, angular momentum of electron in certain orbit is `(h)/(0.5pi)` then find maximum wave number corresponding to spectral line in the visible
Correct Answer - D Cation at `3^(@) gt 2^(@) gt 1^(@)`
2 Answers 1 views
Angular momentum of electron in possible orbit is -
Correct answer is (A) L = nh/2π
2 Answers 1 views
The circumference of circular orbit of electron in a `He^(+)` ion is five times the de-Broglie wavelength associated with the electron. Find the radiu
Correct Answer - `6.613 Å`
2 Answers 3 views