Atomic physics Quiz 1

Question 1

When Arpit was performing Rutherford’s gold foil experiment, the number of particles scattering through the space will be mentioned as $$65$$.  Calculate the angle of scattering. $$($$Assume that the constant of proportionality is $$870	imes {{10}^{-2}})$$.

Accepted Answer

$$2\,{{\sin }^{-4}}\left( 0.134 \right)$$

Answer

$$4\,{{\sin }^{2}}\left( 0.134 \right)$$

Answer

$$2\,{{\sin }^{2}}\left( 0.134 \right)$$

Answer

$$4\,{{\sin }^{4}}\left( 0.134 \right)$$

Question 2

How can we find the velocity of the orbit, if the radius of orbit is $$5.29	imes {{10}^{-11}}$$ and angular momentum $$0.529	ext{ }kg{{m}^{2}}{{s}^{-1}}$$ where an electron is revolving in it?

Accepted Answer

$$9.1	imes {{10}^{-40}}	ext{ }m{{s}^{-1}}$$

Answer

$$9.1	imes {{10}^{-14}}	ext{ }m{{s}^{-1}}$$

Answer

$$1.8	imes {{10}^{-14}}	ext{ }m{{s}^{-1}}$$

Answer

$$1.8	imes {{10}^{-40}}	ext{ }m{{s}^{-1}}$$

Question 3

Arun, when doing an experiment observed that the frequency of radiation emitted will be $$5	ext{ }Hz$$. The energy of orbit at which the electron was initially occupied was $$13.6	ext{ }eV$$. Calculate the energy of the final state in joules?

Accepted Answer

$$54.89	ext{ }J$$

Answer

$$3.89	ext{ }J$$

Answer

$$13.89	ext{ }J$$

Answer

$$24.89	ext{ }J$$

Question 4

If we assume that the radius of the first orbit of the atom having atomic number $$32$$ will be  $$5.3	imes {{10}^{-11}}	ext{ m}$$. The radius of the $${{n}^{th}}$$ orbit has been observed as $$47.7	imes {{10}^{-11}}	ext{ }m$$. Find out the value of $$n$$.

Accepted Answer

$$3$$

Answer

$$9$$

Answer

$$5$$

Answer

$$4$$

Question 5

Calculate the velocity of the electron in the hydrogen atom if the number of orbits will be $$6$$ and the fine structure constant be $$7.3	imes {{10}^{-3}}$$.

Accepted Answer

$$3.65	imes {{10}^{5}}	ext{ }m{{s}^{-1}}$$

Answer

$$6	imes {{10}^{5}}	ext{ }m{{s}^{-1}}$$

Answer

$$3.65	imes {{10}^{6}}	ext{ }m{{s}^{-1}}$$

Answer

$$6	imes {{10}^{6}}	ext{ }m{{s}^{-1}}$$