From the top of a vertical mast 150m high., two huts on the same ground level are observed. One due east and the other due west of the mast. Their angles of depression are 60^o and 45^o respectively. Find the distance between the huts

• A. 150(1 + \(\sqrt{3}\))m
• B. 50( \(\sqrt{3}\) - \(\sqrt{3}\))m
• C. 150 \(\sqrt{3}\)m
• D. \(\frac{50}{\sqrt{3}}\)m

All that you have commanded us we will do, and wherever you send us we will go. Just as we obeyed Moses in all things, so we will obey you....' This pledge was made to Joshua by the

• A. Reubenities, the Gadites and part of the tribe of Manasseh
• B. twelve tribes of Israel
• C. two spies sent to Jericho
• D. seventy elders

The statement in Hadith 25 below gave rise to the explanation as to the different ways by which

• A. pilgrimage can be performed
• B. Prayers can be offered
• C. fasting can be observed
• D. alms can be given

From the words lettered A to D, choose the word that best completes each of the following sentences.

Many people were seriously injured in the ...............accident, fortunately, nobody died.

• A. ghastly
• B. fatal
• C. reckless
• D. dangerous

An object is heated from 30°C to 57°C. The increases in its temperature on the Kelvin scale is

• A. 17k
• B. 27k
• C. 81k
• D. 246k

The probability of a baby being a boy or a girl depends on the contribution of the

• A. father's sex cell
• B. father's somatic chromosome
• C. mother's sex cell
• D. mother's X-chromosome

The Israelite exile that was granted permission to rebuild the city of Jerusalem was

• A. Nehemiah
• B. Hanaani
• C. Zerubbabel
• D. Sanballat

A piece of wood floats inside water at room temperature with a fraction of it above the liquid surface. As the temperature of the water is raised, the part of the wood above the liquid will

• A. decrease because the density of water decreases with temperature
• B. increase because the density of water decreases with temperature
• C. decreases because the density of water increases with water temperature
• D. increase because the density of water increases with temperature

In each of the following sentences, there is one word underlined and one gap. From the list of words lettered A - D, choose the word that is most nearly opposite in meaning to the underlined word and that will, at the same time, correctly fill the gap in the sentences.

Answer all the question:

The manager who wassacked last month has been

• A. retired
• B. suspended
• C. reinstated
• D. promoted

a. Define strain energy.

b. Write an expression for the energy stored, E, in a stretched wire of original length, l , cross-sectional area, A, extension, e, and Young's modulus, Y, of the material of the wire.