Correct Answer: D. 5P₀

Explanation

This problem describes a gas undergoing compression at a constant temperature. This scenario is governed by Boyle's Law.

Boyle's Law states that for a fixed amount of gas at constant temperature, the pressure and volume are inversely proportional. Mathematically, it can be expressed as:

P₁V₁ = P₂V₂

Where:

P₁ = Initial pressure

V₁ = Initial volume

P₂ = Final pressure

V₂ = Final volume

From the problem statement:

• Initial volume (V₁) = V₀

• Initial pressure (P₁) = P₀

• Final volume (V₂) = V₀ / 5 (compressed to one-fifth of its volume)

• Temperature (T) is constant

Now, substitute these values into Boyle's Law equation:

P₀ * V₀ = P₂ * (V₀ / 5)

To solve for P₂, divide both sides by (V₀ / 5):

P₂ = (P₀ * V₀) / (V₀ / 5)

P₂ = P₀ * V₀ * (5 / V₀)

The V₀ terms cancel out:

P₂ = P₀ * 5

P₂ = 5P₀

Therefore, the new pressure will be 5P₀.

The final answer is 5P₀.

Correct Answer: C. appropriation

Explanation

In company accounting, dividend payments are effected in the appropriation account. The appropriation account is a part of the profit and loss account where the net profit is appropriated or distributed among various heads like dividends, general reserve, etc.

Correct Answer: C. corrupt

Correct Answer: A. mobility

Correct Answer: A. needle leaves and softwood

Correct Answer: C. The law of God will become permanent in the people

Correct Answer: D. Control unit

Explanation

(a)(i) Aim of the experiment

• Separation of soil into its fractions/determination of soil texture by sedimentation

(ii)Naming of the parts labelled I and II

I –Clay in suspension/Clay

II –Silt

(b)Description of the experiment

• Place a glass jar on a surface
• Weigh about 70 – 100g of the soil
• Add the weighed soil into an equivalent quantity of water in a glass jar
• Add suitable dispersing agent e,g, NaOH, NaHCO3
• Shake the glass jar vigorously to disperse any soil clods
• Allow the glass jar to settle for an hour
• Observe the result

(c)Properties of sandy soils

• Low cation exchange capacity
• Diameter is between 0.02 mm – 2m2
• Well drained, loose and highly aerated
• Low plant nutrients
• Low buffering capacity
• Leaching of nutrients is high/supports leaching
• Easily gets hot and cold
• Low water holding capacity
• Particles are light and easy to till
• Gritty/rough/coarse in nature
• High percolation rate
• Low capillary action
• Cannot be moulded

(d)Testing soil acidity using litmus paper

• Mix the soil very well
• Moisten with distilled water
• Dip red and blue litmus paper into moistened soil
• If blue litmus paper changes pink/red, the soil is acidic
• If red litmus paper changes blue, the soil is basic/alkaline
• If there is no colour change, the soil is neutral

Correct Answer: B. showcase God's mighty power

Correct Answer: B) it helped to fulfill the command of Jesus to the disciples to preach the gospel to all parts of the world

Explanation

This question is asking about the effect of the stoning of Stephen, a disciple of Jesus, on the spread of the gospel. The stoning of Stephen is recorded in the book of Acts in the Bible. The question provides five options to choose from.

Option A states that the stoning of Stephen fulfilled a prophecy. While this may be true, it is not the effect that the question is asking for.

Option C suggests that the stoning of Stephen made the work of God to prosper more in Jerusalem. However, this is not what happened after Stephen's stoning.

Option D suggests that the apostles became more committed to the gospel because of the persecution. While this may be true, it is not the effect that the question is asking for.

Option B is the correct answer. The stoning of Stephen helped to fulfill the command of Jesus to the disciples to preach the gospel to all parts of the world. After Stephen's stoning, the disciples were scattered and they began to preach the gospel in various regions, which helped to spread Christianity beyond Jerusalem. This event marked the beginning of the spread of Christianity to the Gentiles.

In summary, the stoning of Stephen helped to fulfill the command of Jesus to the disciples to preach the gospel to all parts of the world. This event led to the scattering of the disciples and the spread of Christianity beyond Jerusalem.