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

  •   2ψx2+2ψy2+2ψz2+8π2mh2E-V ψ=0

  •   2ψx2+2ψy2+2ψz2+8πmh2E-V ψ=0

  •   2ψx2+2ψy2+2ψz2+8π2mh2E-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

  •   2a0

  •   a02

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

  •   mAmB

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

  •   λRλR+1

  •   λR-1λR

0:0:1


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