Nuclear Radius

Q.

The largest atomic radius among the following is:

1. Helium

2. Carbon

3. Oxygen

4. Potassium

Q. has the largest atomic radius among the following.

1. Be
2. Mg
3. Ca

Q. The radius of a nucleus of a mass number A is directly proportional to

1. $A^3$
2. $A$
3. $A^{\frac{2}{3}}$
4. $A^{\frac{1}{3}}$

Q. A charged particle with charge to mass ratio $(\frac{q}{m}=\frac{{10}^3}{19}{\text{C kg}}^{-1})$ enters a uniform magnetic field $\overrightarrow{B}=20\hat{i}+30\hat{j}$$+50\hat{k}\text{T}$ at time $t=0$ with velocity $\overrightarrow{v}=20\hat{i}+50\hat{j}+30\hat{k}\text{m/s}$. Assume that magnetic field exists in large space. The pitch of the helical path of the motion of the particle approximately will be

1. $0.1\text{m}$
2. $0.23\text{m}$
3. $2.3\text{m}$
4. $1\text{m}$

Q. The ratio of radii of nuclei ${}_{13}^{27}$ Al and ${}_{52}^{125}$ Te is approximately

1. 6 : 10
2. 13 : 52
3. 40 : 177
4. 14 : 7

Q.

Imagine a hypothetical fluid made only of helium nuclei (practically, just liquid ionized helium), and let's say, it's seen that it floats on water, like oil. A similar fluid made of uranium${(}_{92}^{238}U)$ nuclei, what will happen to it once put in the same water?

1. It will float above water, just like in helium's case

2. It will dissolve in water

3. It will sink below water and settle at the bottom

4. It's hard to infer from given information.

Q. 49. What will be the ratio of molar volume to atomic volume for 1mol. of hydrogen ? (Take the size of molecule to be 1Angstrom) ?

Q. the ratio of diameters of molecules of the two gases is 3:5 and their mean free path of the molecules is in the ratio of 5:3.then the ratio of number density of the two gases is