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According to Bohr's theory the moment of...

According to Bohr's theory the moment of momentum of an electron revolving in second orbit of hydrogen atom will be

A

`(h)/(pi)`

B

`2pih`

C

`(2h)/(pi)`

D

`(pi)/(h)`

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The correct Answer is:
To find the angular momentum of an electron revolving in the second orbit of a hydrogen atom according to Bohr's theory, we can follow these steps: ### Step-by-Step Solution: 1. **Understand Bohr's Theory**: According to Bohr's model of the atom, the angular momentum (L) of an electron in a particular orbit is quantized and is given by the formula: \[ L = n \frac{h}{2\pi} \] where \( n \) is the principal quantum number (orbit number) and \( h \) is Planck's constant. 2. **Identify the Principal Quantum Number**: For the second orbit, the principal quantum number \( n \) is 2. 3. **Substitute the Value of n**: Plugging \( n = 2 \) into the formula for angular momentum: \[ L = 2 \frac{h}{2\pi} \] 4. **Simplify the Expression**: The 2 in the numerator and the 2 in the denominator will cancel out: \[ L = \frac{h}{\pi} \] 5. **Conclusion**: Therefore, the angular momentum of the electron revolving in the second orbit of a hydrogen atom is: \[ L = \frac{h}{\pi} \] ### Final Answer: The moment of momentum of an electron revolving in the second orbit of a hydrogen atom is \( \frac{h}{\pi} \). ---

To find the angular momentum of an electron revolving in the second orbit of a hydrogen atom according to Bohr's theory, we can follow these steps: ### Step-by-Step Solution: 1. **Understand Bohr's Theory**: According to Bohr's model of the atom, the angular momentum (L) of an electron in a particular orbit is quantized and is given by the formula: \[ L = n \frac{h}{2\pi} \] ...
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NCERT FINGERTIPS ENGLISH-ATOMS -Assertion And Reason
  1. According to Bohr's theory the moment of momentum of an electron revol...

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  2. (A) atoms of each element are stable and emit characteristic spectrum....

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  3. (A) atom as a whole is electrically neutral. (R)atom contains equal ...

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  4. (A) according to classical electromagnetic theory an accelerated parti...

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  5. (A) in alpha particle scattering number of alpha paritcle undergoing h...

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  6. (A) most of the mass of the atom is concentrated in its nucleus. (R)...

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  7. (A) the trajetory traced by an incident particle depends on the impact...

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  8. (A) in the experiment of alpha particle scattering, extremely thin gol...

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  9. (A) the total energy of an electron revolving in any stationary orbit ...

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  10. Statement -1 : Large angle scattering of alpha particles led to the di...

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  11. Assertion: For the scattering of alpha-particles at a large angles, on...

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  12. Assertion: Hydrogen atom consists of anly one electron but its emissio...

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  13. (A) bohr model can not be extended to two or more electron atoms. (R...

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  14. Assertion: Bohr had to postulate that the electrons in stationary orbi...

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  15. (A) bohr's third postulaate states that the stationary orbits are thos...

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  16. Assertion: Electrons in the atom are held due to coulomb forces. Rea...

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