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At resonance in a series R-L-C circuit, the voltage across the capacitor equals that across the inductor. Given V\(_L\) = 40V, the voltage across the capacitor (V\(_C\)​) is also 40V.

Cathode rays are streams of electrons observed in vacuum tubes.

\(\lambda\) max = \(\frac{2.9 \times 10^{-3}}{330}\) = 8.8 x 10\(^{-6}\)m v = f\(\lambda\) or f = \(\frac{v}{\lambda}\) where v = velocity of light = 3.0 x10\(^{-8}\) m/s \(\lambda\) = 8.8 x 10\(^{-6}\) f = \(\frac{v}{\lambda}\) = \(\frac{3.0 \times 10^8}{8.8 \times 10^{-6}}\) = 3.4 x 10\(^{13}\) Hz

V = -6cm M = 0.6cm Recall m = \(\frac{V}{U}\) U = \(\frac{V}{M}\) U = \(\frac{6}{0.6}\) U = 10 \(\frac{1}{U}\) + \(\frac{1}{V}\) = \(\frac{1}{F}\) \(\frac{1}{10}\) + \(\frac{1}{-6}\) = \(\frac{1}{F}\) \(\frac{-4}{60}\) = \(\frac{1}{F}\) F = \(\frac{60}{-4}\) = -15cm

Table of value/observation \(a_0\) = 2.00cm S/N x(cm) a(cm) v(cm) y=\(\frac{a}{a_{0}}\) p=\(\frac{1+y^{2}}{y}\) T=x+v(cm) 1 25.0 2.60 49.0 1.30 2.07 74.00 2 30.0 2.40 46.0 1.20 2.03 76.00 3 35.0 2.10 45.0 1.05 2.01 80.00 4 40.0 1.80 43.0 0.90 2.01 83.00 5 45.0 1.60 40.0 0.80 2.05 85.00 viii. viii. Slopes(s) = \(\frac{x_{2} - x_{1}}{y_{2} - y_{1}}\) = \(\frac{76 - 70}{2.073 - 2.040}\) = \(\frac{6}{0.033}\) = 181.8 x. Intercept (c) = 81 xi. Evaluation k = \(\frac{c}{2}\) = \(\frac{81}{2}\) = 40.5 xii. Precautions; (a) Conxial arrangement of optical instruments (b) Avoided parallax error in reading metre rule (c) Lens kept upright (d) Repeated readings shown on the table (e) Surface of lens cleaned (f) Avoided zero error on metre rule (b)i. The distance between the optical centre and the principal focus of the lens is 20cm or if the parallel beam of light is incident on the lens, it is brought to a focus at a point 20cm from the lens. ii. M = 5cm, F = 20c, x = u M = \(\frac{v}{u}\) 5 = \(\frac{v}{u}\) v = 5u Using the formula \(\frac{1}{v} + \frac{1}{u} = \frac{1}{f}\) \(\frac{1}{5u} + \frac{1}{u} = \frac{1}{20}\) \(\frac{1+5}{5u} = \frac{1}{20}\) 5u = 20(1 + 5) 5u = 20 x 6 5u = 120 u = \(\frac{120}{5}\) = 24 x = 24cm

\(Density= \frac{mass}{volume}\) ⇒ \(0.9gcm^{-3} = \frac{mass}{400cm^{3}} = 360g\) without any loss in the frying process, we have \(0.6gcm^{-3} = \frac{360g}{v}\) \(v = \frac{360g}{0.6gcm^{-3}} = 600cm^{3}\)

Radioactivity is the spontaneous emission of radiation from atomic nuclei. This radiation can consist of alpha, beta, and gamma radiation.

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

The image formed by a plane mirror is always virtual (the light rays do not actually come from the image), upright, and of the same shape and size as the object it is reflecting.

First, the two 2-ohm resistors are in parallel R\(_T\) = \(\frac{2 \times 2}{2 + 2}\) = 1 ohm Now, the 3, 4, and 1 ohm resistors are in series Therefore, R\(_eq\) = 3 + 4 + 1 = 8 ohms.

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

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

The heat capacity of a defined system is the amount of heat (usually expressed in calories, kilocalories, or joules) needed to raise the system's temperature by one degree (usually expressed in Celsius or Kelvin).

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

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