Correct Answer: A. -253^oC

Correct Answer: A. Twice

Correct Answer: D. Lack of birth control practices

Correct Answer: A. 800N

Explanation

\(F_2 = \frac{F_1 \times A_2}{A_1} = \frac{40 \times 200}{10} = 800N\)

Correct Answer: A. jobber

Explanation

(a) Merits of a Multi-party System of Government

(i) Single -party dictatorship: Multi-party system of govern-ment removes the chances of the evolution or the emergence of a single-party dictatorship.

(ii) Political participa-tion and education: Campaigns and rallies done by parties increase people's education and political participa-tion.

(iii) Choice: The electorate have the opportunity of choosing among the various candidates and programmes of the political parties.

(iv) Organisation: The existence of competition in this system demands for a better party organisation.

(v) Different interests and opinions are is encouraged and reflected in government of the country.

(b) Demerits of Multi-party System of Government are :

(i) Failure or Success of government policies: The elector-ate can hardly identify the party responsible for the failure or success of government policies.

(ii) Coalition gov-ernment: A coalition government may result in this system and it is mostly unstable and weak. This is a common feature of a parliamentary system of government.

(iii) Costly to operate: Multi-party system is a costly one especially when considering the amount of money pumped into organising the political parties.

(iv) Ethnic and sectionally based political parties: The system can produce this unhealthy arrangement and it does not make for the unity of a country.

(v) No common policy: There is no common policy, making the formation of a new government difficult unless there are compromises here and there which may of course not be healthy.

Correct Answer: A. Adedeji Commission

Correct Answer: D. exports and imports of goods

Explanation

(a)

Given : Circle ABC, centre O.

To prove: < AOB = < ACB

Construction : Join CO produced to P.

Proof: With the lettering in the figure, OA = OB (radii)

\(x_{1} = x_{2}\) (base angles of isosceles triangle)

\(\therefore < AOP = x_{1} + x_{2}\) (exterior angle of triangle AOC)

\(\therefore < AOP = 2x_{2} (x_{1} = x_{2})\) (base angles of an isosceles triangle)

Similarly, \(< BOP = 2y_{2}\)

\(\therefore < AOB = 2x_{2} + 2y_{2} \)

= \(2(x_{2} + y_{2})\)

\(\implies < AOB = 2 \times < ACB\) (proved)

(b) From the figure, \(< ACB = \frac{130°}{2} = 65°\) (angle subtended at the centre of the circle)

\(< ACO = 26°\) (Base angles of isosceles triangle ACO)

\(\therefore < BCO = 65° - 26° = 39°\)

\(< OBC = 39°\) (base angles of isosceles triangle OBC)

\(\therefore < COB = 180° - (39° + 39°) = 102°\)

Correct Answer: B. 400ms^-1

Explanation

y = 0.005 sin[x(0.5X - 200t)]

compare to Y = A sin(kx - wt)

\(\lambda\) = \(\frac{2\pi}{k}\) and F = \(\frac{w}{2\pi}\)

V= \(\lambda\)F

= \(\frac{2\pi}{0.5}\) x \(\frac{200}{2\pi}\)

= 400ms^-1