Physics-
General
Easy

Question

The energy level diagram for an hydrogen like atom is shown in the figure. The radius of its first Bohr orbit is

  1. 0.265 Å    
  2. 0.53 Å    
  3. 0.132 Å    
  4. None of these    

The correct answer is: 0.265 Å


    We know that E subscript n end subscript equals negative 13.6 fraction numerator Z to the power of 2 end exponent over denominator n to the power of 2 end exponent end fraction e V and r subscript n end subscript equals 0.53 fraction numerator n to the power of 2 end exponent over denominator Z end fraction left parenthesis Å right parenthesis
    Here for n =1, E1 = – 54.4 eV
    Therefore negative 54.4 equals negative 13.6 fraction numerator Z to the power of 2 end exponent over denominator 1 to the power of 1 end exponent end fraction Þ Z = 2
    Hence radius of first Bohr orbit r equals fraction numerator 0.53 left parenthesis 1 right parenthesis to the power of 2 end exponent over denominator 2 end fraction equals 0.265 Å

    Related Questions to study

    General
    Physics-

    If t1/2 is the half life of a substance then t3/4 is the time in which substance

    If t1/2 is the half life of a substance then t3/4 is the time in which substance

    Physics-General
    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 bar and ln|n|, where A subscript n end subscript is the area enclosed by the nth orbit in a hydrogen like atom. The correct curve is

    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 bar and ln|n|, where A subscript n end subscript is the area enclosed by the nth orbit in a hydrogen like atom. The correct curve is

    Physics-General
    General
    Physics-

    The graph between log R and log A where R is the nuclear radius and A is the mass number is

    The graph between log R and log A where R is the nuclear radius and A is the mass number is

    Physics-General
    parallel
    General
    Physics-

    The graph which represents the correct variation of logarithm of activity (log (A) versus time, in figure is

    The graph which represents the correct variation of logarithm of activity (log (A) versus time, in figure is

    Physics-General
    General
    Physics-

    In Fig. X represents time and Y represent activity of a radioactive sample. Then the activity of sample, varies with time according to the curve

    In Fig. X represents time and Y represent activity of a radioactive sample. Then the activity of sample, varies with time according to the curve

    Physics-General
    General
    Physics-

    Binding energy per nucleon verses mass number curve for nuclei is shown in the figure. W, X, Y and Z are four nuclei indicated on the curve. The process that would release energy is

    Binding energy per nucleon verses mass number curve for nuclei is shown in the figure. W, X, Y and Z are four nuclei indicated on the curve. The process that would release energy is

    Physics-General
    parallel
    General
    Physics-

    The fraction f of radioactive material that has decayed in time t, varies with time t. The correct variation is given by the curve

    The fraction f of radioactive material that has decayed in time t, varies with time t. The correct variation is given by the curve

    Physics-General
    General
    Physics-

    The count rate of 10g of radioactive material was measured at different times and this has been shown in the figure. The half life of material and the total counts (approximately) in the first half life period, respectively are

    The count rate of 10g of radioactive material was measured at different times and this has been shown in the figure. The half life of material and the total counts (approximately) in the first half life period, respectively are

    Physics-General
    General
    Physics-

    Binding energy per nucleon plot against the mass number for stable nuclei is shown in the figure. Which curve is correct

    Binding energy per nucleon plot against the mass number for stable nuclei is shown in the figure. Which curve is correct

    Physics-General
    parallel
    General
    Physics-

    The first excited state of hydrogen atom is 10.2 eV above its ground state. The temperature is needed to excite hydrogen atoms to first excited level, is

    The first excited state of hydrogen atom is 10.2 eV above its ground state. The temperature is needed to excite hydrogen atoms to first excited level, is

    Physics-General
    General
    Physics-

    Two radioactive materials X subscript 1 end subscript and X subscript 2 end subscript have decay constants 10 lambda and lambda respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X subscript 1 end subscript to that of X subscript 2 end subscript will be 1/e after a time

    Two radioactive materials X subscript 1 end subscript and X subscript 2 end subscript have decay constants 10 lambda and lambda respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X subscript 1 end subscript to that of X subscript 2 end subscript will be 1/e after a time

    Physics-General
    General
    Physics-

    The half life of radium is 1620 years and its atomic weight is 226 kgm per kilomol. The number of atoms that will decay from its 1 gm sample per second will be

    The half life of radium is 1620 years and its atomic weight is 226 kgm per kilomol. The number of atoms that will decay from its 1 gm sample per second will be

    Physics-General
    parallel
    General
    Physics-

    The half life of radioactive Radon is 3.8 days. The time at the end of which 1 divided by 2 0 to the power of t h end exponentof the Radon sample will remain undecayed is (Givenlog subscript 10 end subscript invisible function application e equals 0.4343)

    The half life of radioactive Radon is 3.8 days. The time at the end of which 1 divided by 2 0 to the power of t h end exponentof the Radon sample will remain undecayed is (Givenlog subscript 10 end subscript invisible function application e equals 0.4343)

    Physics-General
    General
    Physics-

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

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

    Physics-General
    General
    Physics-

    A neutron with velocity V strikes a stationary deuterium atom, its kinetic energy changes by a factor of

    A neutron with velocity V strikes a stationary deuterium atom, its kinetic energy changes by a factor of

    Physics-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.