Correct Answer: D. 5.50 x 10\(^{-14}\)m

Explanation

de broglie wavelength formula in terms of kinetic energy:

λ = \(\frac{h}{\sqrt{2mE}}\)

λ = \(\frac{6.6 *10^{-34}}{\sqrt{2 *9.1*10^{-31} *100 }}\)

λ = 5.50 x 10\(^{-14}\)m

Correct Answer: B) Accounting Policy

Explanation

ai. To find all the elements in the set M, we have to solve the inequality.

2n - 3 ≤ 37

2n = 37 + 3 = 40.

2n ≤ 40

n ≤ \(\frac{40}{2}\)

n ≤ 20

so, the set M contains all positive numbers n such that n is less than or equal to 20

Therefore, set M elements are {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

(α)

Pr(multiple of 3) = \(\frac{multiples of 3}{ Total number of element in M}\)

But the multiples of 3 in set M are = {3, 6, 9, 12, 15, 18} = 6

? Pr(multiples of 3) = \(\frac{6}{20} = \frac{3}{10}\)

(β)

Pr( factors of 10) = \(\frac{? of factors of 10}{ Total ? of set M elements}\)

factors of 10 in set M = { 1, 2, 5, and 10} = 4

? Pr( factors of 10) = \(\frac{4}{20} = \frac{1}{5}\)

bi. Let the total amount shared = y

Gapson's age = \(\frac{3}{2}\times Kontor's age\). Since kontor is 20yrs old then Gapson's age = \(\frac{3}{2}\times20\) = 30years.

sharing ratio = 20 : 30 = 2 : 3

total ratio = 2 + 3 = 5

Since Kontor received Le200,000

\(\frac{2}{5} \times y\) = 200,000

\(\frac{2y}{5} = 200,000\)

cross multiplying, we have

2y = 5 x 200,000 = 1000,000

y = \(\frac{1000,000}{2}\) = 500,000.

? Total amount shared = Le500,000.

ii. Gapson's share = Total - kontor's share

= 500,000 - 200,000 = Le300,000.

Correct Answer: D. demand for more wonders

Correct Answer: D. it is self-sufficient

Correct Answer: C) 46

Explanation

In order to understand this question, let's first discuss what mitosis is. Mitosis is the process of cell division in which a parent cell divides into two identical daughter cells, each with the same number of chromosomes as the parent cell. This is how our bodies grow and repair themselves. The human skin cell mentioned in the question has 46 chromosomes. During mitosis, these chromosomes are duplicated, and then separated into two new cells. As a result, each daughter cell will also have 46 chromosomes, which is the same number as the parent cell. Therefore, the correct answer is Option C: 46. It is important to note that mitosis is different from meiosis, another type of cell division that occurs in reproductive cells. In meiosis, a parent cell divides into four non-identical daughter cells, each with half the number of chromosomes as the parent cell. This is how our bodies produce sperm and egg cells for reproduction.

Correct Answer: B. 90°

Explanation

Tan \(\theta = \frac{6}{6} = 1\)

\(\theta\) = tab - 1(1) = 45^o

< top = 20

= 2 x 45^o = 90^o

Correct Answer: D. I and III only

Correct Answer: A. e-banking

Correct Answer: B. its proximity to the market

Explanation

Factors responsible for location of Industries Some of them are: raw material, land, water, labor, capital, power, transport, and market. For ease of convenience, we can classify the location factors into two: geographical factors and non-geographical factors.