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If R<sub>1</sub> is the value of the Rydberg constant assuming mass of the nucleus to be infinitely large compared to that of an electron, and if R<sub>2</sub> is the Rydberg constant taking nuclear mass to be 7500 times the mass of the electron, then the ratio $$\frac{{{R_2}}}{{{R_1}}}$$ is

Correct Answer: a little less than unity

Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$

Consider the following statements.
1. The chain reaction process is used in nuclear bombs to release a vast amount of energy, but in nuclear reactors, there is no chain reaction.
2. In a nuclear reactor, the reaction is controlled, while in nuclear bombs, the reaction is uncontrolled.
3. In a nuclear reactor, all operating reactors are 'critical', while there is no question of 'critically' in case of a nuclear bomb.
4. Nuclear reactors do not use moderators, while nuclear bombs use them.
Which of the above statements about operational principles of a nuclear reactor and a nuclear bomb is/are correct?

$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$            is equal to = ?

Correct answer for the given blank out of the four alternatives.
The main failings were of conception and a political willingness to settle _________ easy options. _______________ the expansive declarationsof the need "to maintain effective security of all nuclear materials, _______________ includes nuclear materials used in nuclear weapons”, thesummits narrowed their _______________ to civilian holdings __________________ non­nuclear weapon states.
_______________ includes nuclear materials used in nuclear weapons”

$$\eqalign{ & {\text{The}}\,{\text{value}}\,{\text{of}} \cr & \frac{{0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02}}{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}\,\text{is}: \cr} $$

The value of $$\left( {\frac{{0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02}}{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}} \right)$$       is :

The value of $${\text{ }}\root 3 \of {\frac{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}{{0.4 \times 0.4 \times 0.4 + 0.08 \times 0.08 \times 0.08}}} $$        is ?

At Lions High school 100 students are taking chemistry and 80 students are taking Biology. If 20 students are taking both chemistry and Biology , what is the ratio of the students taking only chemistry to the number taking only Biology?

Select the correct answer choice of the following Question : "At Lions High School 100 students are taking Chemistry and 80 students are taking Biology. If 20 students are taking both Chemistry and Biology, what is the ratio of the students taking only Chemistry to the number taking only Biology?

Consider a nucleus with N neutrons and Z protons. If mp, mn and BE represents the mass of the proton, the mass of the neutron and the binding energy of the nucleus respectively and c is the velocity of light in free space, the mass of the nucleus is given by