Correct Answer: C. defused

Explanation

(a) Triangle law of vector addition states that if three forces are in equilibrium, they can be represented in magnitude and direction by the three sides of a triangle taken in order.

(b) Physical quantities associated with equations of motion are:

- time

- speed/ velocity

- distance or displacement and acceleration.

(c)

(d)

W = \(\frac{1}{2}Ke^2\)

K = \(\frac{2W}{e^2} = \frac{2 \times 10}{\frac{5}{100}} = 8000 NM^{-1}\)

(ii) F = Ke = 800 x \(\frac{5}{100}\)

= 400N

(iii) F = Ma

a = \(\frac{F}{M} = \frac{400}{2}\) = 200 ms\(^{-2}\)

(iv) Initial velocity U\(_p\) of the block

P = 200 x 0.25

= 50 ms\(^{-1}\)

but \(M_pU_p + M_qU_q = (M_p + M_Q)\)

2 x 50 + 4 x 0 = V(2 + 4)

V = \(\frac{100}{6} = 16.7 ms^{-1}\)

Correct Answer: C. provide welfare service for the people

Explanation

Curve : \(y = x(3 - x^{2})\)

\(y = 3x - x^{3}\)

Gradient function : \(\frac{\mathrm d y}{\mathrm d x} = 3 - 3x^{2}\)

When x = 2, y = \(3(2) - (2^{3}) = -2\)

Gradient of tangent : \(3 - 3(-2)^{2} = -9\)

Gradient of normal : \(\frac{1}{9}\)

Equation of normal through (2, -2)

\(\frac{y + 2}{x - 2} = \frac{1}{9}\)

\(9y + 18 = x - 2 \implies x - 9y - 20 = 0\)

Correct Answer: B. Umar

Correct Answer: A. intermont plateaux

Explanation

(a) Characteristics of Agricultural Systems in West Africa:

(i) Farm sizes are usually small.

(ii) Simple farm tools and implements are used.

(iii) Farm mechanization is difficult because of scattered farm holdings.

(iv) Farmers still rely on the use of unimproved seeds and planting materials.

(v) Yields are usually low because of low application of farm inputs such as fertilizers and pesticides.

(vi) Most farmers are commercially oriented because they sold their (surplus) produce.

(vii) Livestock management practices are still sub-standard.

(viii) Output of livestock products such as milk, eggs and meat are usually low.

(ix) Improved breeds of livestock and poultry are not widely used.

(x) There is poor record keeping on many farms.

(xi) Modern storage facilities are absent on many farms, leading to loss of produce.

(xii) Marketing of farm produce is poorly organised.

(xiii) Processing of farm produce is usually poorly done.

(xiv) Majority of farmers are rural dwellers.

(xv) Agricultural production is seasonal because most farmers depend on rain or practise rain-fed farming system.

(xvi) Nomadic farming is extensively practised

(xvii) Use of draught animal is possible.

(b) Ways in which Land Tenure Systems affect agricultural production:

(i) May lead to fragmentation of Ian( which cannot be mechanized.

(ii) Correct ownership of some plots of land cannot be determined.

(iii) Land canna be used as collateral for loans in some Tenural systems.

(iv) Large scale farming cannot be practised on small scattered farm holdings.

(v) Strangers are prevented from owning land hence they cannot come to develop the land

(vi) Because of the short tenancy period in some systems, permanent land improvement programmes cannot be carried out by holders.

(vii) There is often restriction on the type of crops (e.g. permanent crops) that can be growl on the land in some systems.

(viii) Some land owners may not have the intention of farming while those willing to farm cannot own land because of the tenure system.

(ix) Some land owners exploit those without land by unfavourable tenancy conditions.

(x) Production is very high on land acquired by purchasing or freehold because land improve-ment can be carried out.

(xi) Land use Act/Decree (of 1978 in Nigeria) made more land available to farmers for large scale production.

(xii) Acquisition of land through freehold is expensive thereby discouraging agricultural investors.

Explanation

His full name is Umar ibn Al-Khattab ibn Nufayl ibn Abdul- Uzza. He was known as Abu Hafs and earned the nickname of Al Farooq (the Criterion) because he showed his Islam openly in Makkah and through him Allah distinguished between disbelief and faith. He was born in 583 AC (Cristian Era), thirteen years after Amul-Fil (the year of the Elephant). His father was Al-Khattab ibn Nufayl, and his grandfather Nufayl was one of those whom Quraish Tribe used to refer for judgment. His mother was Hantamah bint Hashim bin Al Mugheerah.

Umar spent half of his life in the pre-Islamic society (Jahiliyah), and grew up like his peers of Quraish, except that he has an advantage over them in that he was one of those who had learned to read, of whom there were very few. He bore responsibility at an early age, and had a very harsh upbringing in which he knew no type of luxury or manifestation of wealth. His father Al-Khattab forced him to tend his camels. His father's harsh treatment had a negative effect on Umar which he remembered all his life.

From his early youth he also excelled in many kinds of sports, such as wrestling, riding and horsemanship. He enjoyed and narrated poetry, and he was interested in the history and affaires of his people. He was keen to attend the great fairs of the Arabs such as Ukaz, Mijannah and Dhu al-Majaz, where he would make the most of the opportunity to engage in trade and learn the history of the Arabs, and the battles and contests that had taken place among the tribes. Besides, he engaged in trade and pro?ted, which made him one of the rich men of Makkah. He became acquainted with many people in the countries that he visited for the purpose of trade. He travelled to Syria in the summer and Yemen in the winter. Thus, he occupied a prominent position in Makkan society during the pre-Islamic era.

Umar (R.A.) was wise, eloquent, well spoken, strong, tolerant, noble, persuasive and clear of speech, which made him quali?ed to be an ambassador for Quraish, to speak up for them before the other tribes. Ibn Al-Jawzi said:

"The role of ambassador fell to Umar ibn Al-Khattab. If there was a war between Quraish and another tribe, they would send him as an ambassador, and if another tribe was boasting against them, they would send him to respond in kind, and they were pleased with him."

Before converting to Islam, Umar (R.A.) opposed Islam and he even threatened to kill Prophet Mohammad (S.A.W). He was adamant and cruel in opposing Messenger of Allah (S.A.W.) and very prominent in persecuting Muslims.

The ?rst ray of the light of faith that touched his heart came on when he saw the women of Quraish leaving their homeland and travelling to a distant land because of the persecution that they were facing from Umar (R.A.) and other unbelievers. His conscious was moved and he felt remorse and pity for them, and he spoke kind words to them which they had never expected to hear from his person beforehand.

Umm Abdullah bint Hantamh said:

"When we were migrating to Abyssinia, Umar, who used to persecute us mercilessly, came and stood over and said to me: are you leaving? I said: Yes, for you have persecuted us and oppressed us, and by Allah we are going out in the land of Allah until Allah grants us a way out."

Then Umar said:

"May Allah be with you. And I saw kindness that I had never seen before."

Umar was moved by this woman's attitude and he felt distressed. How much suffering the followers of this new religion were putting up with, but despite that they were standing ?rm. What was the secret beyond this extraordinary strength? He felt sad and his heart was ?lled with pain. Shortly after this incident, Umar (R.A.) became Muslim as a result of the prayers of the Messenger of Allah (S.A.W.), which was the main reason for his acceptance of Islam. The Prophet Mohammad (S.A.W.) had prayed for him saying:

"O Allah honor Islam through Abu Jahl bin Hisham or through Umar bin Al-Khattab."

Umar (R.A.) came the next day to the Messenger of Allah (S.A.W.) and accepted Islam.

(Tirmidhi: 3683)

Umar became Muslim in 616 AD, one year after the Migration to Abyssinia, when he was twenty-seven years old. He accepted Islam three days after Hamzah (R.A.), the Prophet's uncle.

Explanation

(a) Acid salt is the salt which contains acidic hydrogen e.g. Sodium hydrogen trioxocarbonate (IV) (NaHCO\(_3\))

(b) Glass is not attacked by the concentrated trioxonitrate (V) acid

Correct Answer: A. form of indirect election