Explanation

(a)(i) Lines of longitude are imaginary lines running from north to south on the earth's surface while lines of latitude are imaginary lines on the earth's surface running from east to west.

(ii) All lines of latitude are parallel while lines of longitude converge at the poles

(iii) All opposite lines of longitude form great circles while the Equator is the only line of latitude that forms a great circle

(iv) Lines of latitudes are used for calculating distance while lines of longitude are used for calculating local time of places

(v) Lines of latitude decrease in length from the

equator towards the poles while all lines of longitude are of equal length

(vi) Line of latitude increase in value from the equator towards the poles while lines of longitude increase in value eastwards and westwards of the Greenwich meridian

(vii) The significant lines of latitude are 0°, 23112°N, 231/2°S, 661/2°N, 661/2°S and 90°N and S, while those of longitude are 0° and 180° East and West.

(b) Solution:The average distance of 1° of latitude = 111km. Difference in latitude between Tema and London,

i.e 52° - 6° = 46°, Actual distance = 111 x 46° = 5,106km

Explanation

(a) \((2 - x)^{5} = 2^{5} + 5[2^{4}(-x)^{1}] + 10[2^{3}(-x)^{2}] + 10[2^{2}(-x)^{3}] + 5[2^{1}(-x)^{4}] + (-x)^{5}\)

= \(32 - 80x + 80x^{2} - 40x^{3} + 10x^{4} - x^{5}\)

(b) \((1.98)^{5} = (2 - 0.02)^{5}\)

= \(32 - 80(0.02) + 80(0.02)^{2} - 40(0.02)^{3} + 10(0.02)^{4} - (0.02)^{5}\)

= \(32 - 1.6 + 0.032 - 0.00032 + ...\)

\(\approxeq 30.4317\) (4 d.p)

Correct Answer: C. Methane

Correct Answer: A. diagnosed

Explanation

The disease was diagnosed by the doctors as pneumonia.

diagnosed; identify the nature of (an illness or other problem) by examination of the symptoms.

Explanation

(a) Heat is a form of energy due to temperature gradient while temperature is the degree of hot-ness or cold-ness of a body.

(b)(i) The change in volume expansion of a fixed mass of a liquid.

(ii) The change in volume of a gas at constant pressure.

(iii) The change in electrical resistance of a substance.

(iv) The change in e.m.f generated in a thermo-couple. (Note: Any correct two)

(c)(i) It does not wet glass (unlike alcohol) (ii) It is opaque and easily seen (unlike alcohol) (iii) It is a

better conductor of heat. (iv) It measures higher temperature than alcohol. (Note: Any correct two)

(d) Support the thermometer vertically ensuring the bulb is covered with melting pure ice shavings. Allow the mercury thread to fall till its level remains steady. Mark this position on the thermometer as the lower fixed point. Suspend the thermometer in the steam of a hypsometer. Allow the mercury thread to rise until its level remains steady. Mark this position on the thermometer as the steam point. Sub-divide the fundamental interval into a number of equal parts. Precautions

(i) The thermometer bulb should not be placed in the boiling water of the hypsometer.

(ii) The thermometer should be inserted in the hypsometer such that the mercury thread is visible just above the top of the apparatus.

(iii) Some few minutes should be allowed to pass when the mercury thread is steady before making the thermometer.

(iv) One should ensure that the steam is at atmospheric pressure. (Note: Any correct two)

(e) The breezes are due to the fact that the specific heat capacity of water is greater than that of land. During the day the land is hotter than the sea. A low pressure area is created on the land and cooler air from the sea blows into the land. This wind is called sea breeze. At night the sea is warmer than the land. A low pressure area is created over the sea, resulting in cooler air blowing from the land where the pressure is higher into the sea. This is called land breeze.

Correct Answer: B. We are irrevocably committed

Correct Answer: B. 4

Correct Answer: A. cacophony

Explanation

The vowel /i/ as in bit is present here. Only the very last sound pronunciation of 'cacophony' bears the same answer.

Correct Answer: D. frequent

Correct Answer: A. local government