AIEEE 2008 | Atoms and Nuclei Question 270 | Physics

Suppose an electron is attracted towards the origin by a force $${k \over r}$$ where $$'k'$$ is a constant and $$'r'$$ is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the $${n^{th}}$$ orbital of the electron is found to be $$'{r_n}'$$ and the kinetic energy of the electron to be $$'{T_n}'.$$

Then which of the following is true?

$${T_n} \propto {1 \over {{n^2}}},{r_n} \propto {n^2}$$

$${T_n}$$ independent of $$n,{r_n} \propto n$$

$${T_n} \propto {1 \over n},{r_n} \propto n$$

$${T_n} \propto {1 \over n},{r_n} \propto {n^2}$$

AIEEE 2007

MCQ (Single Correct Answer)

-1

If $${M_O}$$ is the mass of an oxygen isotope $${}_8{O^{17}}$$ , $${M_p}$$ and $${M_N}$$ are the masses of a proton and neutron respectively, the nuclear binding energy of the isotope is

$$\left( {{M_O} - 17{M_N}} \right){C^2}$$

$$\left( {{M_O} - 8{M_P}} \right){C^2}$$

$$\left( {{M_O} - 8{M_P} - 9{M_N}} \right){C^2}$$

$${{M_O}{c^2}}$$

AIEEE 2007

MCQ (Single Correct Answer)

-1

Out of Syllabus

In gamma ray emission from a nucleus

only the proton number changes

both the neutron number and the proton number change

there is no change in the proton number and the neutron number

only the neutron number changes

AIEEE 2007

MCQ (Single Correct Answer)

-1

Out of Syllabus

The half-life period of a ratio-active element $$X$$ is same as the mean life time of another ratio-active element $$Y.$$ Initially they have the same number of atoms. Then

$$X$$ and $$Y$$ decay at same rate always

$$X$$ will decay faster than $$Y$$

$$Y$$ will decay faster than $$X$$

$$X$$ and $$Y$$ have same decay rate initially

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