Correct Answer: B. 72.8 cm³

Explanation

\(V_2 = \frac{P_1V_1T_2}{P_2T_1} = \frac{800 \times 76 \times 273}{760 \times 300}\)

= 72.8cm³

Correct Answer: B. a consignee

Explanation

The consignee acts as a sort of middleman, which is the individual that buys or retains the goods and passes them along to a third party or the final buyer. The consignee as a middleman brings the consignor (seller/owner of a product) in contact with the third party who is interested in a business transaction.

Correct Answer: A. 10 sin 5x cos 5x

Correct Answer: A. direct democracy

Explanation

Direct democracy or pure democracy is a form of democracy in which people decide on policy initiatives directly. it is a form of democracy in which all laws and policies imposed by governments are determined by the people themselves, rather than by representatives who are elected by the people.

Correct Answer: D. Knee

Explanation

The components of velocity at maximum height are:

Vy = 0

Vx = UCos \(\theta\) = 20 Cos 40°

=15.32ms\(^{-1}\)

Correct Answer: (a)2200050

Correct Answer: A) Y is a period III element

Explanation

The question is asking about an element called Y and providing its electronic configuration. The electronic configuration of an element shows how its electrons are distributed in different energy levels and orbitals. The configuration of Y is 1s\(^2\) 2s\(^2\) 2p\(^6\) 3s\(^2\) 3p\(^3\), meaning that it has two electrons in the first energy level, eight electrons in the second energy level, and five electrons in the third energy level. The question then provides four options, and we are asked to choose the correct one. Option A states that Y is a period III element, and this is the correct answer. The periodic table is organized in such a way that elements with similar chemical and physical properties are placed in the same rows called periods. Y belongs to the third period because it has electrons in the third energy level. Option B states that Y contains three electrons in the outer shell, but this is incorrect. The outer shell of an atom refers to the highest energy level, and in the case of Y, the outer shell contains five electrons. Option C states that Y is a transition metal, but this is also incorrect. Transition metals are elements that have partially filled d orbitals, and Y does not have any d electrons in its configuration. Option D states that Y can engage in bonding with the s and p orbitals, and while this is generally true for most elements, it is not specific to Y and does not provide any additional information about the element. In summary, the correct answer to the question is Option A, which states that Y is a period III element because it has electrons in the third energy level.

Explanation

(a)(i) The momentum of a body is the product of its mass and its velocity.

(ii) The total momentum of a system before collision equals to the total momentum after collision provided no external force acts. OR In a system of colliding bodies the total momentum is constant provided no external force acts.

(b) Mp Up + Mq Uq = Mp Vp + Mq Vq

0.25 Up + 0 = 0.25 x \(\frac{2}{3}\) Up + 0.25 x 2; 0.25

(Up - 2/3 Up) = 0.50; 1/3

Up = \(\frac{0.50}{0.25}\) = 2m/s

Up = 2 x 3 = 6m/s

(c)(i) Newton's second law of motion states that the time rate of change of linear momentum is directly proportional to the force causing the change and the change takes place in the direction of the force

(ii) Let the momentum before collision = mu and momentum after collision = my, change in momentum = my - mu, Change in momentum in unit time

= \(\frac{mv - mu}{t}\)

From second law: \(\frac{mv - mu}{t}\) = KF

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

If m = 1kg, a = 1ms\(^{-2}\) and F = 1N, K = 1

ma = F

(iii) Resultant force on the vehicle = 9600 - 200 = 7400N.

But F = ma

a = \(\frac{F}{m} = \frac{7400}{3400}\) = 2.18ms\(^{-2}\) or 2.2ms\(^{-2}\)

Correct Answer: A. Farming