Explanation

(a)i) Definition of a torque

- The turning effect of force about an axis/pivot

(ii) Factors that determine a torque

- perpendicular distance of the force from the pivot

- direction of the force.

- magnitude of the force

(b)(i) Definition of free fall:

- The vertical motion of a body only under the influence of gravity/its own weight

(ii) Calculation of the time taken by a body thrown vertically upward to reach the ground

S = 10t - \(\frac{1}{2}\)10t\(^2\)

-40 = 10t - \(\frac{1}{2}\)10t\(^2\) x 10 t\(^2\)

(t + 2)(t - 4) = 0

Time to fall to the ground, t = 4s

(c) Calculation of the mass of wood:

- Mass of wood = upthrust due to water displace + upthrust due to oil displaced

= 1000 x 2 x 8 x 8 x 10 + 720 x 6 x 8 x 8 x 10

= 0.404kg

Correct Answer: B. inadequate supply of farm inputs

Explanation

Farm inputs are the resources that are used in farm production, such as chemicals, equipment, feed, seed, and energy. One of the problems faced by the agricultural sector is the lack of these farm inputs that fast track crop production.

Correct Answer: C. there is a large number of buyers and sellers

Correct Answer: B. decrease

Correct Answer: C. Amalekites

Explanation

(a) (i) The angle of incidence in the optically denser medium for which the angle of refraction in the less dense medium is 90\(^o\)

(ii) Conditions necessary for total internal reflection to occur:

- Light rays must travel from a dense medium to a less dense medium.

- Angle of incidence in the dense medium must be greater than the critical angle.

iii) Practical applications of total internal reflection

- Prism periscopes.

- Prism Binoculars.

- Fibre optics

- Fish eye view.

- Transmission of radio signals

(b) Effects of refraction

- straight objects placed in liquid appear bent (on the interface or boundary)

- mirages.

- dispersion of white light/formation of rainbow.

- apparent displacement of objects placed in liquids/apparent shadows of pools base.

(c)(i) Definition of progressive waves: A disturbance which travels through a medium that enables energy to be transferred from its source to another (without the particles of the medium transferred). OR Transfer of energy and momentum from the source of disturbances.

(ii) (\(\alpha\)) calculation of frequency of wave

y = 0.5 sin (1000) \(\pi\) t - 100 \(\pi \frac{x}{17}\)

= a sin (2\(\pi ft - 2 \pi \frac{x}{\gamma}\))

= 2\(\pi f = 1000 \pi\)

f = 500Hz

(\(\beta\)) calculation of wavelength of wave

\(\frac{2\pi}{\lambda} = \frac{100\pi}{17}\)

\(\lambda\) = \(\frac{2 \times 17}{100}\)

= 0.34m

(\(\gamma\) calculation of speed of wave)

v = f\(\lambda\)

= 500 x 0.34

170ms\(^{-1}\)

Correct Answer: A) Eli

Explanation

The question is asking who was being addressed in the statement Those who honour me I will honour, and those who despise me shall be lightly esteemed. The correct option is option A, which is Eli.

In the Old Testament, Eli was a priest of God in Israel and the mentor of Samuel, who was also a priest. Eli had two sons, Hophni and Phinehas, who were also priests, but they were corrupt and disobeyed God's commandments. God sent a message to Eli that his house would be punished for the wickedness of his sons. The statement in the question was part of the message God sent to Eli, telling him that those who honour Him will be honoured, but those who despise Him will be lightly esteemed.

This statement is a reminder that God rewards those who honour Him and keep His commandments, and punishes those who disobey Him. It is important for Christians to honour God and obey His commandments if they want to receive His blessings and favours.

In summary, the correct answer to the question is option A, which is Eli. The statement in the question was part of a message God sent to Eli, reminding him that those who honour Him will be honoured, but those who despise Him will be lightly esteemed. It is important for Christians to honour and obey God's commandments to receive His blessings.

Correct Answer: C) charge of the electron

Correct Answer: B. Panama Canal

Correct Answer: A. protection of the government from media scrutiny