High School

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35. When alpha particles are sent through a thin metal foil, only one out of ten thousand of them is rebounded. This observation led to the conclusion that:

a. Positively charged particles are concentrated at the center of the atom.
b. More electrons are revolving around the nucleus of the atom.
c. A unit positive charge is only present in an atom.
d. The massive sphere with a more negative charge and unit positive charge is present at the center of the atom.

36. The canal ray experiment led to the discovery of:

a. protons
b. neutrons
c. electrons
d. nucleus

37. In which of the following pairs of shells is the energy difference between two adjacent orbits minimum?

a. [tex]$K, L$[/tex]
b. [tex]$L, M$[/tex]
c. [tex]$M, N$[/tex]
d. [tex]$N, O$[/tex]

38. Assertion A: An electron in the inner orbit is more tightly bound to the nucleus.
Reason B: The greater the absolute value of the energy of an electron, the more tightly the electron is bound to the nucleus.

a. Both [tex]$A$[/tex] and [tex]$B$[/tex] are true, but [tex]$B$[/tex] is not the appropriate reason for [tex]$A$[/tex].
b. Both [tex]$A$[/tex] and [tex]$B$[/tex] are individually correct, and [tex]$B$[/tex] is the correct reason for [tex]$A$[/tex].
c. A is correct, but B is not correct.
d. Both A and B are not correct.

39. If two naturally occurring isotopes of an element are [tex]${ }_7^{15} X$[/tex] and [tex]${ }_7^{11} X$[/tex], what is the percentage composition of each isotope of [tex]$X$[/tex] occurring, respectively, if the average atomic weight accounts for 14?

a. 95, 5
b. 80, 20
c. 75, 25
d. 65, 35

40. An element has two isotopes with mass numbers 16 and 18. The average atomic weight is 16.5. The percentage abundance of these isotopes is [tex]$\qquad$[/tex] and [tex]$\qquad$[/tex] respectively.

a. 75, 25
b. 25, 75
c. 50, 50
d. 33.33, 66.67

41. Which among the following are isobars?

a. [tex]${ }_b^a X, { }_b^{a+1} Y$[/tex]
b. [tex]${ }_b^a{ }_b, { }^b{ }_c Y$[/tex]
c. [tex]${ }_b^a X, { }_{b+1}^a Y$[/tex]
d. [tex]${ }_b^a X, { }_{b-1}^{a-1} Y$[/tex]

42. Some of the elements have fractional atomic masses. The reason for this could be:

a. the existence of isobars.
b. the existence of isotopes.
c. nuclear reactions.
d. the presence of neutrons.

Answer :

Let's address each question one by one and provide explanations for the answers based on the provided information and results.

35. Alpha Particle Scattering Conclusion:

When alpha particles were sent through a thin metal foil, it was observed that only a small fraction rebounded. This led to significant conclusions about atomic structure:

- Since only a few particles deflected, it indicates that most of an atom's mass and its positive charge are concentrated in a small region, known as the nucleus.

Therefore, the correct conclusion is:
a. Positively charged particles are concentrated at the centre of the atom.

36. Canal Ray Experiment Discovery:

The canal ray experiment, which involved observing positive rays in gas discharge tubes, led to the discovery of:

a. protons

37. Energy Difference Between Shells:

The energy difference between two adjacent orbits (shells) is minimum between shells that are further from the nucleus:

b. [tex]\( L, M \)[/tex]

38. Assertion and Reasoning:

- Assertion A claims that electrons in inner orbits are more tightly bound to the nucleus.
- Reason B explains that a more negative electron energy value indicates stronger binding.

Both statements are correct, and reason B correctly explains assertion A:

b. Both [tex]\( A \)[/tex] and [tex]\( B \)[/tex] are individually correct and [tex]\( B \)[/tex] is the correct reason for [tex]\( A \)[/tex].

39. Isotope Composition of Element with Isotopes [tex]\(_7^{15}X\)[/tex] and [tex]\(_7^{11}X\)[/tex]:

Given that the average atomic weight is 14, the percentage composition of each isotope is:

75% for [tex]\(_7^{15}X\)[/tex] and 25% for [tex]\(_7^{11}X\)[/tex].
So the answer is:

c. 75, 25

40. Isotope Composition of Element with Isotopes with Mass Numbers 16 and 18:

The average atomic weight is 16.5, which corresponds to:

75% for the isotope with mass number 16 and 25% for the isotope with mass number 18.
So the answer is:

a. 75, 25

41. Identification of Isobars:

Isobars are atoms of different elements with the same mass number but different atomic numbers. The correct pair is:

d. [tex]\({ }_b^a X ,{ }_{b-1}^{a-1} Y\)[/tex]

42. Reason for Fractional Atomic Masses:

Fractional atomic masses can be explained by:

b. the existence of isotopes.

By considering isotopes with different masses, the average atomic mass can become a fraction due to the mixture.

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