Correct Answer: A. flashback

Explanation

(i) \(T_{1} = \begin{pmatrix} -T_{1} \cos 40° \\ T_{1} \sin 40° \end{pmatrix} = \begin{pmatrix} -0.7660T_{1} \\ 0.6428T_{2} \end{pmatrix}\)

\(T_{2} = \begin{pmatrix} T_{2} \cos 30° \\ T_{2} \cos 30° \end{pmatrix} = \begin{pmatrix} 0.8660T_{2} \\ 0.5000T_{2} \end{pmatrix}\)

\(W = \begin{pmatrix} 0 \\ -65 \end{pmatrix}\)

(ii) P is at rest, the vector equation is

\(T_{1} + T_{2} + W = 0\)

(iii) \(\begin{pmatrix} -0.7660T_{1} \\ 0.6428T_{1} \end{pmatrix} + \begin{pmatrix} 0.8660T_{2} \\ 0.5000T_{2} \end{pmatrix} + \begin{pmatrix} 0 \\ -65 \end{pmatrix} = \begin{pmatrix} 0 \\ 0 \end{pmatrix}\)

\(0.7660T_{1} = 0.8660T_{2} ... (1)\)

\(0.6428T_{1} + 0.5000T_{2} - 65 = 0 ... (2)\)

From (1), \(T_{1} = \frac{0.8660T_{2}}{0.7660} ... (3)\)

Put (3) in (2) :

\(0.6428(\frac{0.8660T_{2}}{0.7660}) + 0.5000T_{2} = 65 \)

\(0.7627T_{2} + 0.5000T_{2} = 65\)

\(1.2267T_{2} = 65 \implies T_{2} = \frac{65}{1.2267}\)

\(T_{2} = 52.988N \approxeq 53.0N\) (to 1 d.p)

From (3), \(T_{1} = \frac{0.866 \times 52.988}{0.766} = 59.905N\)

\(\approxeq 59.9N\) (to 1 d.p)

Correct Answer: C. sincere in all their transactions

Explanation

King Josiah gave the reason that the workers in charge of the renovation should not render an account to anybody because they were sincere in their transactions. This can be found in 2 Kings 22:5-7 (RSV): 5 and let it be given into the hand of the workmen who have the oversight of the house of the Lord; and let them give it to the workmen who are at the house of the Lord, repairing the house, 6 that is, to the carpenters, and to the builders, and to the masons, as well as for buying timber and quarried stone to repair the house. 7 But no accounting shall be asked from them for the money which is delivered into their hand, for they deal honestly.

Correct Answer: C. \(\frac{7}{12}\)

Explanation

set = 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

multiple of 3 = 6, 9, 12, 15

multiple of 4 = 4, 8, 12

Prob(multiple of 3 or 4) = Prob(multiple of 3) + pro(multiple of 4)

= \(\frac{4}{12} + \frac{3}{12} = \frac{7}{12}\)

Correct Answer: B) minimum of two directors is required

Correct Answer: A. marketing his crops

Explanation

(a) When ultraviolet rays fall on zinc plate, electrons are liberated from the zinc plate. This phenomenon is called photoelectric emission. In general the emission of electrons from matter as a result of electromagnetic wave falling on the matter is referred to as photoelectric effect.Emission of electrons depends only on the threshold frequency. But the rate of emission depends on the intensity of light. The threshold frequency is not the same for all metals. The energy of emitted electrons varies from zero to a maximum value.

(b) photo cell

When light photons fall on the caesium metal, it emits electrons which move to the collector to generate current flow. As the intensity of Iight varies, the rate of emission of electrons varies and thus, the current flow varies.

(c) Applications of photoelectric emission.

(1) Production of television cameras (2) Burglary/ alarms (3) Automatic switches for putting on lights at dusk. (4) Industrial controls and counting operations.

(d) The energy of the light is absorbed by the photocell and are used to overcome the force that brids the electrons but may not be sufficient to remove the electron until light with sufficient threshold frequency. One factor that may affect the number of emitted electrons is the intensity of the light.

Correct Answer: A. Abacus

Correct Answer: C. alternating current at high voltage and low current

Correct Answer: B. ordinal utility

Explanation

In ordinal utility, the satisfaction a consumer obtains after consuming various commodity cannot be measured in numbers, but can be ranked in order of preference. ordinal utility uses rankings instead of values.