A triply ionized beryllium ( Be3+ ) has the same orbital radius as the ground state of hydrogen. Then the quantum state n of Be3+ is | Atoms

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 Multiple Choice QuestionsMultiple Choice Questions

41.

Assertion:  Electrons in the atom are held due to Coulomb forces. 

Reason:  The atom is stable only because the centripetal force due to Coulomb's law is balanced by the centrifugal force.

  • If both assertion and reason are true and reason is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not the correct explanation of assertion.

  • If assertion is true but reason is false.

  • If both assertion and reason are false.


42.

Total energy of an electron in hydrogen atoms above 0 eV leads to

  • ionisation of the atom

  • accelerate the atom

  • send the atom in higher excited state

  • none of these


43.

Ionisation potential of hydrogen atom is 13.6 V. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. The spectral lines emitted by hydrogen atoms according to Bohr's theory will be

  • one

  • two

  • four

  • three


44.

The current gain for a transistor working as common-base amplifier is 0.96. If the emitter current is 7.2 mA, then base current is

  • 0.35 mA

  • 0.28 mA

  • 0.39 ma

  • 0.43 mA


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45.

If the wavelength of 1line of Balmer series of hydrogen is 6561 A, the wavelength of the 2 line of series will be

  • 9780 Ao

  • 4860 Ao

  • 8857 Ao

  • 4429 Ao


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46.

A triply ionized beryllium ( Be3+ ) has the same orbital radius as the ground state of hydrogen. Then the quantum state n of Be3+ is

  • n = 1

  • n = 2

  • n = 3

  • n = 4


B.

n = 2

Radius of nth orbit in hydrogen like atoms is

       rna0 n2Z

Where a0 is the Bohr's radius

For hydrogen atom Z = 1

∴          r1 = a0     (  since n = 1 for ground state )

For Be3+ , Z = 4

 ∴         rn = a0 n24

According to given problem

       r1 = rn

     a0  =  n2 a04

⇒   n = 2


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47.

Ratio of longest wavelengths corresponding to Lyman and Balmer series in hydrogen spectrum is

  • 729

  • 931

  • 527

  • 323


48.

Total energy of the electron in hydrogen atom above 0 eV leads to

  • continuation of energy states

  • large number of discrete ionised states

  • balmer series

  • paschen series


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49.

Assertion:  Bohr's atomic model cannot be used to explain multiple electron species.

Reason: It does not take inter-electronic interactions in account.

  • If both assertion and reason are true and reason
    is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not the correct explanation of assertion.

  • If assertion is true but reason is false.

  • If both assertion and reason are false.


50.

Assertion: Total energy of electron in an hydrogen atom is negative.

Reason: It is bounded to the nucleus.

  • If both assertion and reason are true and reason is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not correct explanation of assertion.

  • If assertion is true but reason is false.

  • If both assertion and reason are false.


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