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Physics-

General

Easy

Question

The ratio between total acceleration of the electron in singly ionized helium atom and hydrogen atom (both in ground state) is

1
8
4
16

The correct answer is: 8

Acceleration $a proportional to fraction numerator v to the power of 2 end exponent over denominator r end fraction$
where $v proportional to fraction numerator Z over denominator n end fraction$ and $r proportional to fraction numerator n to the power of 2 end exponent over denominator Z end fraction$ Þ $a proportional to fraction numerator Z to the power of 3 end exponent over denominator n to the power of 4 end exponent end fraction$
Since both are in ground state i.e., n = 1
so a µ Z³ Þ $fraction numerator a subscript H e to the power of plus end exponent end subscript over denominator a subscript H end subscript end fraction equals open parentheses fraction numerator Z subscript H e to the power of plus end exponent end subscript over denominator Z subscript H end subscript end fraction close parentheses to the power of 3 end exponent equals open parentheses fraction numerator 2 over denominator 1 end fraction close parentheses to the power of 3 end exponent equals fraction numerator 8 over denominator 1 end fraction$

Related Questions to study

Nuclear reactions are given as
i) $left parenthesis n comma p right parenthesis subscript 15 end subscript p to the power of 32 end exponent$
ii) $left parenthesis p comma alpha right parenthesis subscript 8 end subscript O to the power of 16 end exponent$
iii) $7 N to the power of 14 end exponent$ (p) $6 C to the power of 14 end exponent$
missing particle or nuclide (in box $◻$ ) In these reactions are respectively

Nuclear reactions are given as
i) $left parenthesis n comma p right parenthesis subscript 15 end subscript p to the power of 32 end exponent$
ii) $left parenthesis p comma alpha right parenthesis subscript 8 end subscript O to the power of 16 end exponent$
iii) $7 N to the power of 14 end exponent$ (p) $6 C to the power of 14 end exponent$
missing particle or nuclide (in box $◻$ ) In these reactions are respectively

Physics-General

The ratio of ionization energy of Bohr’s hydrogen atom and Bohr’s hydrogen like lithium atom is

The ratio of ionization energy of Bohr’s hydrogen atom and Bohr’s hydrogen like lithium atom is

Physics-General

When a sample of solid lithium is placed in a flask of hydrogen gas then following reaction happened $blank subscript 1 end subscript superscript 1 end superscript H plus subscript 3 end subscript L i to the power of 7 end exponent rightwards arrow subscript 2 end subscript H e to the power of 4 end exponent plus subscript 2 end subscript H e to the power of 4 end exponent$ This statement is

When a sample of solid lithium is placed in a flask of hydrogen gas then following reaction happened $blank subscript 1 end subscript superscript 1 end superscript H plus subscript 3 end subscript L i to the power of 7 end exponent rightwards arrow subscript 2 end subscript H e to the power of 4 end exponent plus subscript 2 end subscript H e to the power of 4 end exponent$ This statement is

Physics-General

parallel

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

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

Physics-General

If t_1/2 is the half life of a substance then t_3/4 is the time in which substance

If t_1/2 is the half life of a substance then t_3/4 is the time in which substance

Physics-General

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

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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

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

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

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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

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

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

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parallel

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

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

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

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