Correct Answer: A. monarchy

Explanation

A monarchy is a form of government in which a single person holds supreme authority in ruling a country, also performing ceremonial duties and embodying the country's national identity. Although some monarchs are elected, in most cases, the monarch's position is inherited and lasts until death or abdication. In these cases, the royal family or members of the dynasty usually serve in official capacities as well. The governing power of the monarch may vary from purely symbolic (crowned republic), to partial and restricted (constitutional monarchy), to completely autocratic (absolute monarchy).

Correct Answer: B) ammonia solution

Correct Answer: D. sons of light

Correct Answer: A. 24

Explanation

\(^{n}P_{4} = \frac{n!}{(n - 4)!}\)

\(^{n}C_{4} = \frac{n!}{(n - 4)! 4!}\)

\(\frac{^{n}P_{4}}{^{n}C_{4}} = \frac{n!}{(n - 4)!} ÷ \frac{n!}{(n - 4)! 4!}\)

= \(4! = 24\)

Correct Answer: B. tan θ + k

Correct Answer: B. idleness

Explanation

(a)(i) Fusion: Fusion is the coming together of two light nuclei to form a heavier nucleus with the release of energy.

Example: \(^{2} _{1} H + ^{2} _{1} H \to ^{4} _{2} He + Energy\)

(ii) Fission: Fission is the breaking up of heavy nucleus into two nuclei of comparable masses when bombarded with fast neutrons or energetic particles releasing energy in the process.

Example: \(^{235} _{92} U + ^{1} _{0} N \to ^{90} _{39} Kr + ^{144} _{50} Ba + ^{1} _{0} N + ^{1} _{0} N\)

(iii) Radiation Hazards. Radioactive substances can be dangerous if one is exposed to their radiations for a long time. Some of the radiations are highly penetrating and if the body is over-exposed to them, they can destroy the cells in tissues and upset the natural chemistry of the body. Examples include: – Leukaemia – Skin burns

(b) Advantages of fusion over fission include: (1) Easily achieved with lightest element so that nuclear repulsion is easily overcome as nuclei approach each other (2) Raw materials are cheaply available. (3) Produces less dangerous by products. (4) There is no upper limit to the mass of hydrogen that can be obtained. Very high temperature is required to overcome the coulomb repulsive forces between the two light nuclei. This poses severe technological problem due to the fact that materials to withstand this high temperature are difficult to come by.

(c) \(I = I_{m} \sin 2 \pi ft ... (1)\)

I - Instantaneous value of current

\(I_{m}\) - Peak value of current

F - frequency of current

\(I = 30 \sin 100 \pi t ... (2)\)

Comparing (1) and (2),

(i) \(2 \pi f = 100\pi \therefore f = 50 Hz\)

(ii) \(I_{m} = 30A\)

(iii) \(I_{r.m.s} = \frac{I_{m}}{\sqrt{2}}\)

= \(\frac{30}{\sqrt{2}} = 21.2A\)

Correct Answer: A. 5.5m

Explanation

From S = 12t + \(\frac{5}{2t^2}\) - t\(^3\);

Distance traveled in 2 seconds

S = 12[2] + \(\frac{5}{2[2]^2}\) - 2\(^3\).

= 24 + 10 - 8 = 26m

Distance traveled in 3 seconds

S = 12[3] + \(\frac{5}{2[3]^2}\) - 3\(^3\)

= 36 + 22.5 - 27 = 31.5m

Distance traveled in the 3rd second

= 31.5m - 26m

: S = 5.5m

Correct Answer: D. a quotation

Correct Answer: C. Monotheism