Home
Class 12
PHYSICS
The figure shows a graph between 1n |(A(...

The figure shows a graph between `1n |(A_(n))/(A_(1))|` and `1n|n|`, where `A_(n)` is the area enclosed by the `n^(th)` orbit in a hydrogen like atom. The correct curve is

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
A

`a_(n) = pir_(n)^(2) rArr ((r_(n))/(r_(1)))^(2) rArr "log"_(e) (A_(n))/(A_(1)) = 4"log"._(e)(n)`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise-01|117 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise-02|19 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Example|1 Videos
  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|24 Videos
  • TEST PAPER

    ALLEN|Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

Let A_(n) be the area enclosed by the n^(th) orbit in a hydrogen atom. The graph of l n (A_(n)//A_(t)) against In (n)

Let A_(0) be the area enclined by the orbit in a hydrogen atom .The graph of in (A_(0) //A_(1)) against ln(n)

If A_(n) is the area bounded by y=x and y=x^(n), n in N, then A_(2).A_(3)…A_(n)=

If, in a hydrogen atom, radius of nth Bohr orbit is r_(n) frequency of revolution of electron in nth orbit is f_(n) and area enclosed by the nth orbit is A_(n) , then which of the pollowing graphs are correct?

If A_(1), A_(2),..,A_(n) are any n events, then

In a sequence, the n^(th) term a_(n) is defined by the rule (a_(n-1) - 3)^(2), a_(1) = 1 what is the value of a_(4) ?

If A_(n)=2A_(n-1)+3 for all n ge1 , and A_(4)=45 , what is A_(1) ?

If a_(1)=3 and a_(n)=n+a_(n-1) , the sum of the first five term is

Find a_(1) and a_(9) if a_(n) is given by a_(n) = (n^(2))/(n+1)

For a sequence {a_(n)}, a_(1) = 2 and (a_(n+1))/(a_(n)) = 1/3 , Then sum_(r=1)^(oo) a_(r) is

ALLEN-SIMPLE HARMONIC MOTION-SOME WORKED OUT EXAMPLES
  1. When a hydorgen atom is excited from ground state to first excited sta...

    Text Solution

    |

  2. The energy of a tungsten atom with a vacancy in L small is 11.3 KaV. W...

    Text Solution

    |

  3. The figure shows a graph between 1n |(A(n))/(A(1))| and 1n|n|, where ...

    Text Solution

    |

  4. Consider the radiation emitted by large nu,ber of singly charged posit...

    Text Solution

    |

  5. The probaility that a certaun radioactive atom would get disintefrated...

    Text Solution

    |

  6. Figure shows the graph of stopping potential verus that frequency of a...

    Text Solution

    |

  7. Consider a hydrogen-like atom whose energy in nth excited state is giv...

    Text Solution

    |

  8. The positions of .(1)^(2)D,.(2)^(4)He and .(3)^(7)Li are shown on the ...

    Text Solution

    |

  9. How many head-on elastic collisions must a neutron have with deuterium...

    Text Solution

    |

  10. The figure shows the variation of pholo current with for a photo-sensi...

    Text Solution

    |

  11. Assertion: Radioactive nuclei emtis beta^(-) particles. Reason: Elec...

    Text Solution

    |

  12. A vessel of 831 cc contains .(1)^(3)H atm and 27^(@)C. If half life of...

    Text Solution

    |

  13. Choose the CORRECT statement .

    Text Solution

    |

  14. Einstein in 1905 proppunded the special theory of relativity and in 19...

    Text Solution

    |

  15. Einstein in 1905 proppunded the special theory of relativity and in 19...

    Text Solution

    |

  16. Einstein in 1905 proppunded the special theory of relativity and in 19...

    Text Solution

    |

  17. A meacury arec lamp provides 0.1 watt of ultra-violet radiation at a w...

    Text Solution

    |

  18. A point source is emitting 0.2 W of ultravio- let radiation at a wavel...

    Text Solution

    |

  19. A mercury arc lamp provides 0.10 W of UV radiation at a wavelength of ...

    Text Solution

    |

  20. Ratio of amplitude for two wave is 1:3 .Find the ratio of maximum inte...

    Text Solution

    |