Correct Answer: A. character are linked

Correct Answer: B. scarcity of commodities

Explanation

(a)

Let T be the tension in the rope and W the weight of the bucket of water.

T - W = net force = ma

\(T - mg = ma\)

\(150 - 80 = 8a\)

\(a = \frac{70}{8} = 8.75 m/s^{2}\).

(b) m = 12kg ; u = 15 m/s.

v = 25 m/s ; s = 50m ; a = ?

\(v^{2} = u^{2} + 2as\)

\(625 = 225 + 100a \implies 100a = 400\)

\(a = 4m/s^{2}\)

\(t = ?\)

\(s = ut + \frac{1}{2} at^{2}\)

\(50 = 15t + \frac{1}{2}(4t^{2})\)

\(50 = 15t + 2t^{2} \implies 2t^{2} + 15t - 50 = 0\)

\(2t^{2} + 20t - 5t - 50 = 0\)

\(2t(t + 10) - 5(t + 10) = 0 \implies (t + 10)(2t - 5) = 0\)

\(t = \frac{5}{2}s \text{or t = -10s}\)

Since time cannot be negative, t = 2.5 seconds.

\(F = m\frac{(v - u)}{t}\)

= \(12(\frac{25 - 15}{2.5})\)

= \(48N\)

\(2as = v^{2} - u^{2}\)

\(2as = 35^{2} - 15^{2}\)

\(2(4)(s) = 1000\)

\(s = 125m\)

Correct Answer: D. John

Explanation

The metaphor of Jesus referring to Himself as the 'Good Shepherd' is found in the Gospel of John, specifically in John 10:11 and 10:14. In these verses, Jesus uses the metaphor to illustrate His care and sacrifice for His followers.

Correct Answer: A. providing necessities of life for the children.

Correct Answer: C. rise in the inflation rate

Correct Answer: D. sugarcane

Correct Answer: D. It is labour intensive

Correct Answer: B)

SO\(_2\) and NH\(_3\)

Explanation

The question is asking about the identification of two gases labelled A and B based on their chemical properties. Gas A is acidic to litmus paper and turns acidified potassium dichromate solution green. This means that gas A is an acid and can react with a solution of potassium dichromate in the presence of acid to turn it green. On the other hand, gas B turns red litmus paper blue and forms dense white fume with hydrogen chloride. This means that gas B is a base and can react with hydrogen chloride to form white fumes.

From the given options, the correct identity of gas A and gas B respectively are option B: SO\(_2\) and NH\(_3\). Sulfur dioxide (SO\(_2\)) is acidic and can turn acidified potassium dichromate solution green. On the other hand, ammonia (NH\(_3\)) is basic and can turn red litmus paper blue and form dense white fumes with hydrogen chloride. Therefore, option B is the correct answer to this question. It is important to note that understanding the properties of acids and bases is crucial in identifying their chemical properties. Acids are substances that can donate hydrogen ions (H\(^+\)), while bases are substances that can accept hydrogen ions. Litmus paper is a common indicator used to identify whether a solution is acidic or basic. A solution that is acidic turns blue litmus paper red, while a solution that is basic turns red litmus paper blue. To learn more about acid-base properties and their identification, please read the relevant sections of the recommended textbooks.

Correct Answer: C. empowerment scheme