Explanation

P = mv = 9.1 x 10\(^{31}\) x 4.2 x 10\(^{-7}\)

= 9.1 x 4.2 x 10\(^{-24}\) Kgms\(^{-1}\)

\(\lambda = \frac{h}{p} = \frac{6.6 \times 10^{-34}}{9.1 \times 4.2 \times 10^{-24}}\)

= 1.73 x 10\(^{-11}\)m

or

\(\lambda = \frac{h}{mv} = \frac{6.6 \times 10^{-34}}{9.1 \times 10^{-31} \times 4.2 \times 10^7}\) = 1.73 x 10\(^{-11}\)

Correct Answer: B. holding fast to the host

Correct Answer: A. The drought caused by Elljah's curse

Correct Answer: C. D2 and S1; D2 and S2

Correct Answer: B. 11.7 N

Explanation

\(F = F \cos \theta i + F \sin \theta j\) (Resolving F into its components)

\(F_{1} = (10 N, 090°) = 10 \cos 90 i + 10 \sin 90 j\)

= \(10 j\)

\(F_{2} = (6 N, 180°) = 6 \cos 180 i + 6 \sin 180 j\)

= \(-6 i\)

\(R = - 6 i + 10 j\)

\(|R| = \sqrt{(-6)^{2} + (10)^{2}}\)

= \(\sqrt{136}\)

= 11.7 N

Correct Answer: A. 29\(\sqrt{5}\)

Explanation

3 \(\sqrt{45} - 12\sqrt{5} + 16\sqrt{20}\)

= 3 x \(\sqrt{9 \times 5} - 12 \times \sqrt{5} + 16 \times \sqrt{4 \times 5}\)

= 3 x 3 x \(\sqrt{5} - 12 \times \sqrt{5} + 16 \times 2 \times \sqrt{5}\)

= 9\(\sqrt{5} - 2 \sqrt{5} + 32 \sqrt{5}\)

= 9\(\sqrt{5} + 32\sqrt{5} - 12\sqrt{5}\)

= 29\(\sqrt{5}\)

Correct Answer: B. ten-fold

Correct Answer: C. an acceptor element is added

Explanation

If the dominant impurity atoms are ACCEPTOR type in the semiconductor, it will have a majority of holes over the electrons [p-type].

Correct Answer: A) the standard of living of the indigenes is improved

Explanation

Option A states that the standard of living of the indigenes is improved. This means that when ownership and control of businesses are transferred to the nationals, it can lead to increased employment opportunities and higher wages, which can improve the standard of living for the people of the country.

Option B states that the economy is controlled by the nationals. This means that indigenization allows the nationals to have more control over their own economy, which can lead to better decision-making and allocation of resources.

Option C states that entrepreneurial skills are developed. Indigenization can encourage the growth of local entrepreneurship as nationals take ownership and control of businesses. This can lead to the development of skills and innovation among the local population.

Option D states that foreigners' domination is avoided. Indigenization aims to reduce the dominance of foreign individuals or companies in the country's economy, allowing the nationals to have more control and benefit from their own resources.

Out of the given options, the least important advantage of indigenization is the improvement of the standard of living of the indigenes (Option A). While this is an important outcome, the other advantages listed, such as control over the economy, development of entrepreneurial skills, and avoidance of foreigners' domination, have broader and more significant implications for the country as a whole.

So, the correct answer is Option A: the standard of living of the indigenes is improved, which is the least important advantage of indigenization among the given options.

Correct Answer: C. primary industries