Which of the following is correct?
Number of angular nodes = n-l-1
Number of radial nodes = l
Total number of nodes = n-1
All of the above
Maximum number of total nodes is present in:
5s
5p
5d
All have same number of nodes
Orbitals having two spherical nodes are
2s
4s
3d
6f
The correct Schrodinger's wave equation for a electron with total energy E and potential energy V is given by
∂2ψ∂x2+∂2ψ∂y2+∂2ψ∂z2+8π2mh2E-V ψ=0
∂2ψ∂x2+∂2ψ∂y2+∂2ψ∂z2+8πmh2E-V ψ=0
None of the above.
The wave mechanical model of the atom depends upon
De-Broglie concept of dual nature of electron
Heisenberg uncertainty principle
Schrodinger's principle
All
ψ2r, θ, ϕ represents: (for Schrodinger wave mechanical model)
Amplitude of electron wave
Probability density of electron
Total probability of finding electron around nucleus
Orbit
Radial amplitude of electron wave can be represented by
Rr
R2r
4πr2
4πr2R2r
The Schrodinger wave equation for hydrogen atom is ψ2s=142π1a03/2 2-ra0 e-r/a0 where a0 is Bohr's radius. If the radial node in 2s be at r0, then r0 would be equal to:
a02
2a0
The Schrodinger wave equation for hydrogen atom is ψradial=1164Za03/2 σ-1 σ2-8σ+12e-σ/2 where a0 and Z are the constant in which answer can be expressed and σ=2Zra0 minimum and maximum position of radial nodes from nucleus are ........ respectively.
a0Z, 3a0Z
a02Z, a0Z
a02Z, 3a0Z
a02Z, 4a0Z
Isodiaphers among the following options is :
C614 and N1123
M1224g and C1123
H24e and O816
C612 and N715
The incorrect statement regarding the characteristics of X-rays is :
The radiation can ionize the gas
It causes a fluorescence effect on ZnS
It is deflected by electric and magnetic fields
Have a shorter wavelength than ultraviolet rays
The correct expression derived for the energy of an electron in the nth energy level is for H-atom
En=-π2 me4 K22n2 h2
En=-2π2 me2 K2n2 h2
En=2π2 me4 K2n2 h2
En=-2π2 me4 K2n2 h2
For any H like system, the ratio of velocities of I, II & III orbit i.e., V1 : V2 : V3 will be
1 : 2 : 3
1 : 1/2 : 1/3
3 : 2 : 1
1 : 1 : 1
An ion among the following that has the same radius as a hydrogen atom, having n=1, is
He+, n=2
Li2+,n=2
Be3+, n=2
Li2+,n=3
Select the incorrect graph for velocity of e- in an orbit vs. Z, 1n and n:
Number of waves produced by an electron in one complete revolution in nth orbit is:
n
n2
n+1
2n+1
The energy of an electron moving in nth Bohr's orbit of an element is given by En=-13.6n2Z2 eV/atom (Z=atomic number). The graph of E vs. Z2 (keeping "n" constant) will be:
The spectrum produced from an element is:
atomic spectrum
line spectrum
absorption spectrum
any one of the above
Which of the following expressions represents the spectrum of Balmer series (If n is the principal quantum number of higher energy level) in Hydrogen atom?
v¯=Rn-1 n+1n2 cm-1
v¯=Rn-2 n+24n2 cm-1
v¯=Rn-2 n+2n2 cm-1
v¯=Rn-1 n+14n2 cm-1
The H-spectrum show:
Heisenberg's uncertainty principle
Diffraction
Polarization
Presence of quantized energy level
In the photoelectric effect, the kinetic energy of photoelectrons increases linearly with the
Wavelength of incident light
Frequency of incident light
Velocity of incident light
Atomic mass of an element
Slope of V0 vs v curve is (where V0=stopping potential, v=subjected frequency)
e
he
ϕ
h
According to Einstein's photoelectric equation, the graph between kinetic energy of
photoelectrons ejected and the frequency of the incident radiation is:
The photoelectric emission from a surface starts only when the light incident upon the surface has a certain minimum:
Intensity
Wavelength
Frequency
Velocity
If λ0 and λ be the threshold wavelength and the wavelength of incident light, the velocity of photo-electrons ejected from the metal surface is:
2hcmλ0-λ
2hmλ0-λ
2hcmλ0-λλλ0
2hm1λ0-1λ
The ratio of slopes of Kmax vs. v and V0 vs. v curves in photoelectric effect gives -
(v=frequency, Kmax=maximum kinetic energy, V0 stopping potential):
Charge of electron
Planck's constant
Work function
The ratio of Planck's constant of electronic charge
The largest de Broglie wavelength among the following (all have equal velocity) is
CO2 molecule
NH3 molecule
Electron
Proton
Von two particles A and B are plotted against de-Broglie wavelengths. Where V is the potential on the particles. Which of the following relation is correct about the mass of particles?
mA=mB
mA>mB
mA<mB
mA≤mB
The graphs that represents the variation of momentum of particle with de-Broglie wavelength is
The excited state of an H atom emits a photon of wavelength λ and returns to the ground state. The principal quantum number of the excited state is given by:
λRλR-1
λRλR+1
λR-1λR
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