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The three main reasons why the weight of an object varies on the earth's surface is - The shape of the earth - Variation in Longitude and latitude -Rotation of the earth

W = P\DeltaV = 2 x 10\(^5\) * (12 x 10\(^{-6}\) - 2 x 10\(^{-6}\)) = 2 x 10\(^5\) 10 x 10\(^{-6}\) = 2.0J

According to Faraday's Law, the mass of the substance deposited is directly proportional to the time for which the current flows, assuming a constant current. Therefore, the graph should show a linear increase in mass over time, which corresponds to option A

Relative molecular mass of XO\(_2\) = 2 \times vapour density Relative molecular mass → (2 x 32) = 64 Atomic mass of X: X + [16 x 2] = 64 X = 64 - 32 = 32

Carbon monoxide (CO), popularly known as the Black smoke, from exhaust fumes of vehicles (cars, trucks and tricycles) and generators is a toxic gas released into the atmosphere.

Decrease in temperature favors in Equilibrium Constant[k] for this exothermic reaction. The only factor that can affect an equilibrium constant is temperature: Endothermic reactions Increasing the temperature increases the equilibrium constant, and decreasing the temperature decreases it. Exothermic reactions Increasing the temperature decreases the equilibrium constant, and decreasing the temperature increases it. - Option A

The two major lines have their lower portions involved. Since there are no broken lines here,\(\leq\) will hold for the two major lines that is, 2y - x - 2 = 0 becomes 2y - x - 2 \(\leq\) 0 y + 2x + 2 = 0 becomes y + 2x + 2 \(\leq\) 0 Triangle SPT is located at the positive side of the y-axis, so y \(\geq\) 0, and the negative side of the x-axis so, x \(\leq\) Therefore, OPTION C is correct.

An element e of the binary expression * is said to be the identity if for any a * e = a from the given table the identity element is m i.e K ⨁ m = k k ⨁ m = k.

Number of yellow cars = 3 Total number of cars = 3 + 4 + 8 + 2 + 6 + 2 = 25 Fraction of yellow cars = 3/25

< T = \(\frac{x}{1}\) = 25o (PQ = QT) < SQR = 2(25o) = 50o (sum of interior angle) < Q + < R + < S = 180o 50o + 75o + < S = 180o = 125o + < S = 180o < S = 180o - 125o = 55o

Using cosine formula (t\(\sqrt{3}\))2 = t2 + t2 - 2t2 cos\(\theta\) 3t2 = 2t2 - 2t2 cos\(\theta\) = 2t2(1 - cos\(\theta\)) 1 - cos\(\theta\) = \(\frac{3t^2}{2t^2}\) = \(\frac{3}{2}\) cos = 1 - \(\frac{3}{2} = -\frac{1}{2}\) \(\theta\) = cos-1(-\(\frac{1}{2}\)) = 120o and 240o N.B 0 \(\geq\) \(\theta\) 360

\(\begin{array}{c|c} \text{colour of cars} & \text{Number (frequency)} \\ \hline yellow & 3 \\white & 4\\ red & 8\\ green & 2\\ blue & 6\\ black & 2\\ \hline & 25 \\ \hline\end{array}\) Thus, the fraction of the total numbers that are yellow is \(\frac{3}{25}\)

The interquartile range formula is the first quartile subtracted from the third quartile: IQR = Q3 – Q1.

\(\begin{array}{c|c} \text{no. of passengers} & \text{Number of taxis}\\ \hline 0.5 - 2.5 & 3\\ 2.5 - 4.5 & 4 \\ 4.5 - 6.5 & 7\\ 6.5 - 8.5 & 5\\ 8.5 - 10.5 & 4 \\ 10.5 - 12.5 & 1\\ \hline \text{Total} & 24 \end{array}\) Thus, the taxi with more than 4 passengers = 7 + 5 + 4 + 1 = 17

"Moribund" means something in a state of decline or near death, and "crumbling" best fits this meaning.