Physics-
General
Easy

Question

The electric potential between a proton and an electron is given by V equals V subscript 0 ln invisible function application r over r subscript 0 , where  r subscript 0 is a constant. Assuming Bohr’s model to be applicable, write variation of r subscript n  with  n,n  being the principal quantum number

  1. r subscript n proportional to n    
  2. straight r subscript straight n proportional to 1 divided by straight n    
  3. r subscript n proportional to n squared    
  4. r subscript n proportional to 1 divided by n squared    

The correct answer is: r subscript n proportional to n


    Potential energy  straight U equals eV equals eV subscript 0 ln invisible function application straight r over straight r subscript 0
    therefore text  Force  end text straight F equals negative open vertical bar dU over dt close vertical bar equals eV subscript 0 over straight r
    thereforeThe force will provide the necessary centripetal force. Hence  mv squared over straight r equals eV subscript 0 over straight r
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell ∴⇒ straight v equals square root of eV subscript 0 over straight m left parenthesis straight i right parenthesis end root end cell row cell text  and mvr  end text equals fraction numerator nh over denominator 2 pi end fraction left parenthesis ii right parenthesis end cell row cell equals text  From equations (i) and (i)  end text end cell row cell mr equals open parentheses fraction numerator nh over denominator 2 pi end fraction close parentheses square root of straight m over eV subscript 0 end root text  or  end text straight r proportional to straight n end cell end table

    Related Questions to study

    General
    physics-

    A beam of fast moving alpha particles were directed towards a thin film of gold. The parts A to the power of ´ end exponent comma B ´ and C ´ of the transmitted and reflected beams corresponding to the incident parts A comma B and C of the beam, are shown in the adjoining diagram. The number of alpha particles in

    A beam of fast moving alpha particles were directed towards a thin film of gold. The parts A to the power of ´ end exponent comma B ´ and C ´ of the transmitted and reflected beams corresponding to the incident parts A comma B and C of the beam, are shown in the adjoining diagram. The number of alpha particles in

    physics-General
    General
    physics-

    If the binding energy of the deutriumis 2.23 blank M e V. The mass defect given in a. m. u. is

    If the binding energy of the deutriumis 2.23 blank M e V. The mass defect given in a. m. u. is

    physics-General
    General
    physics-

    If in hydrogen atom, radius of n to the power of t h end exponent Bohr orbit is r subscript n end subscript, frequency of revolution of electron in n to the power of t h end exponent orbit is f subscript n end subscript, choose the correct option

    If in hydrogen atom, radius of n to the power of t h end exponent Bohr orbit is r subscript n end subscript, frequency of revolution of electron in n to the power of t h end exponent orbit is f subscript n end subscript, choose the correct option

    physics-General
    parallel
    General
    physics-

    The following diagram indicates the energy levels of a certain atom when the system moves from 2 E level to E, emitting a photon of wavelength lambda. The wavelength of photon produced during its transition from fraction numerator 4 E over denominator 3 end fraction level to E is

    The following diagram indicates the energy levels of a certain atom when the system moves from 2 E level to E, emitting a photon of wavelength lambda. The wavelength of photon produced during its transition from fraction numerator 4 E over denominator 3 end fraction level to E is

    physics-General
    General
    physics-

    The curve between the activity A of a radioactive sample and the number of active atoms N is

    The curve between the activity A of a radioactive sample and the number of active atoms N is

    physics-General
    General
    physics-

    The following diagram indicates the energy levels of a certain atom when the system moves from 4 E level to E. A photon of wavelength lambda subscript 1 end subscript is emitted. The wavelength of photon produced during it’s transition from fraction numerator 7 over denominator 3 end fraction E level to Eis lambda subscript 2 end subscript. The ratio fraction numerator lambda subscript 1 end subscript over denominator lambda subscript 2 end subscript end fraction will be

    The following diagram indicates the energy levels of a certain atom when the system moves from 4 E level to E. A photon of wavelength lambda subscript 1 end subscript is emitted. The wavelength of photon produced during it’s transition from fraction numerator 7 over denominator 3 end fraction E level to Eis lambda subscript 2 end subscript. The ratio fraction numerator lambda subscript 1 end subscript over denominator lambda subscript 2 end subscript end fraction will be

    physics-General
    parallel
    General
    physics-

    The count rate for 10g of radioactive material was measured at different times and this has been shown in figure with scale given. The half-life of the material and the total count in the first half value period, respectively are

    The count rate for 10g of radioactive material was measured at different times and this has been shown in figure with scale given. The half-life of the material and the total count in the first half value period, respectively are

    physics-General
    General
    physics-

    The diagram shows the path of four alpha-particles of the same energy being scattered by the nucleus of an atom simultaneously. Which of these are/is not physically possible

    The diagram shows the path of four alpha-particles of the same energy being scattered by the nucleus of an atom simultaneously. Which of these are/is not physically possible

    physics-General
    General
    physics-

    The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of a photon with the most energy

    The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of a photon with the most energy

    physics-General
    parallel
    General
    physics-

    The figure shows a graph between ln invisible function application open vertical bar fraction numerator A subscript n end subscript over denominator A subscript 1 end subscript end fraction close vertical barand ln invisible function application vertical line n vertical line, where A subscript n end subscript is the area enclosed by the nth orbit in a hydrogen like atom. The correct curve is ln invisible function application open vertical bar A subscript n over A subscript 1 close vertical bar

    The figure shows a graph between ln invisible function application open vertical bar fraction numerator A subscript n end subscript over denominator A subscript 1 end subscript end fraction close vertical barand ln invisible function application vertical line n vertical line, where A subscript n end subscript is the area enclosed by the nth orbit in a hydrogen like atom. The correct curve is ln invisible function application open vertical bar A subscript n over A subscript 1 close vertical bar

    physics-General
    General
    physics-

    Assume the graph of specific binding energy v e r s e s blankmass number is as shown in the figure. Using this graph, select the correct choice from the following.

    Assume the graph of specific binding energy v e r s e s blankmass number is as shown in the figure. Using this graph, select the correct choice from the following.

    physics-General
    General
    chemistry-

     Compare x and y bond length in above molecules:

     Compare x and y bond length in above molecules:

    chemistry-General
    parallel
    General
    chemistry-

    Select the correct order of bond angle in following molecules:

    Select the correct order of bond angle in following molecules:

    chemistry-General
    General
    chemistry-

    Selectthecorrectorderofbondangleinfollowing molecules:

    Selectthecorrectorderofbondangleinfollowing molecules:

    chemistry-General
    General
    chemistry-

     Compare x and y bond angle in above molecules:

     Compare x and y bond angle in above molecules:

    chemistry-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.