Structure Of Atom

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Question
CBSEENCH11008092

A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emission is at 680 nm, the other is at

  • 1035 nm

  • 325 nm

  • 743 nm 

  • 518 nm

Solution

C.

743 nm 

E = E1 + E2
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Question
CBSEENCH11008038

A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference V esu. If e and m are charge and mass of an electron, respectively, then the value of h/λ (where λ is wavelength associated with electron wave) is given by:

  • 2meV

  • square root of mev
  • square root of 2 meV end root
  • mev

Solution

C.

square root of 2 meV end root

The relation between h/λ and energy is given as:
Applying de-Broglie wavelength and kinetic energy term in eV.
de-Broglie wavelength for an electron (λ) = h/p
⇒ p  = h/ λ       (i)
Kinetic energy of an electron = eV
As we know that,
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From equations (i) and (ii), we get
straight h over straight lambda space equals space square root of 2 meV end root

Question
CBSEENCH11008151

According to Bohr’s theory, the angular momentum of an electron in 5th orbit is

  • 25h/ π

  • 1.0h/π

  • 10/π

  • 2.5h/π

Solution

D.

2.5h/π

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Question
CBSEENCH11008121

Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 × 10ms–1
(Mass of proton = 1.67 × 10–27 kg and h = 6.63 ×10–34Js)

  • 0.032 nm

  • 0.40 nm

  • 2.5 nm

  • 14.0 nm

Solution

B.

0.40 nm

straight lambda space equals space straight h over mv space equals space fraction numerator 6.63 space straight x space 10 to the power of negative 34 end exponent over denominator 1.67 space straight x space 10 to the power of negative 27 end exponent space straight x space 10 cubed end fraction space identical to 0.40 space nm

Question
CBSEENCH11008192

Consider the ground state of Cr atom (Z = 24). The number of electrons with the azimuthal quantum numbers I =1 and 2 are respectively

  • 12 and 4

  • 16 and 5

  • 16 and 4

  • 12 and 5

Solution

D.

12 and 5