Question Library

Ammeters are connected in series so, A3= A2 + A1 A1 = A3 - A1 = 5A - 2A = 3A

The impedance for a RLC circuit is \(Z = \sqrt{R^{2} + (X_{L} - X_{C})^{2}}\) = \(\sqrt{10^{2} + (9 - 4)^{2}}\) = \(\sqrt{125}\) = 11.18\(\Omega\) \(\approxeq\) 11.2\(\Omega\)

No expanded working has been attached for this question yet. The verified answer is Option D.

N = \(\frac{1}{sin\theta}\) = \(\frac{1}{sin34}\) = 1.79

S/N d(cm) I(A) I\(^{1}\)(A\(^{-1}\)) Log I\(^{-1}\) 1 25 0.65 1.54 0.19 2 35 0.55 1.82 0.26 3 50 0.44 2.50 0.40 4 65 0.30 3.33 0.52 5 80 0.23 4.35 0.64 vii. Scale: 2cm to 10 units on x-axis 2cm to 0.1 unit on y-axis viii. Slopes(s) = \(\frac{x_{2} - x_{1}}{y_{2} - y_{1}}\) = \(\frac{80 -25}{0.64 - 0.20}\) = \(\frac{55}{0.44}\) = 125 (ix) Precautions (a) Key opened in between reading or keys opened when readings were not taken (b) Tight connections ensured (c) Avoided parallax error when taking reading on ammeter or metre rule (d) Repeated readings shown (e) Avoided zero error on ammeter or metre rule (f) Clean terminals ensured. (b)i. 1\(^{-1}\) = \(\frac{1}{1.5}\) = 0.67 Log(1\(^{-1}\)) =-0.174 ii. Factors affecting the resistance of a wire - Length of wire - Cross-sectional area/ thickness/ diameter/ radius of wire - Resistivity or nature of wire - Temperature.

Look through the equations of motion

Molecules of liquid are not stationary Brownian motion is an evidence of particle nature of matter matter is made up of molecules The molecules of matter are in constant motion

Efficiency = \(\frac{ma}{V.R}\) x \(\frac{100}{1}\) V.R = number of pulleys = 6 ma = \(\frac{\text{Load}}{\text{Effort}}\) = \(\frac{200}{50}\) = 4 Effiecieny = \(\frac{4}{6}\) × 100 = 66.67%

Isotopy is due to difference in mass number, what causes the difference is the difference in the number of neutrons present

Magnification = \(\frac{\text{Length of camera}}{\text{distance of object from pin hole}}\) m = \(\frac{12}{60}\) = 0.2 Also magnification m = \(\frac{\text{Height of image}}{\text{Height of object}}\) ∴ Height of image = m \times height of object = 0.2 \times 70 = 14cm

For capacitance i n parallel, 2µF and 2µF are in parallel, their equivalence is 2µF and 2µF = 4µF The 4µF generated is now in series with the remaining 4µF. The net capacitance for series connection is \(\frac{1}{C}\) = \(\frac{1}{4}\) + \(\frac{1}{4}\) = 1 + \(\frac{1}{4}\) = \(\frac{2}{4}\) C = \(\frac{4}{2}\) = 2µF

Scalar quantity is a quantity with only magnitude, it has no direction Tension, weight, impulse are vector quantities because they have direction. Mass is the only scalar quantity there

Semi-conductor have an elecctric conductivity intermediate in value between that of a pure metal and a good insulator. Silicon is an example

1 cycle = 360^\circ = 2\pi rad ∴ 50 cycle = 2 \pi rad \times 50 = 100 \pirad ∴ = angular speed = 50 cycles per seconds = 100 \pi rads\(_{−1}\)

Capillarity is the tendency of a liquid to rise or fall in a narrow tube and it explains why a blotting paper absorbs ink