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You are provided with a retort stand, clamp and boss, a pendulum bob, a piece of thread, and other necessary apparatus. Carry out the fo lowing experiment: Set up the apparatus as shown in the diagram above: measure and record the distance = 130cm from the centre of the bob to the point of suspension of the pendulum displace the pendulum through a small angle and release. Allow the pendulum to oscillate freely; determine the time t for 20 complete oscillations; also, determine the period T of the oscillations evaluate T\(^{2}\) and L = -30; repeat the procedure for four other values of l = 110, 90, 70, and 50 cm in each case, determine t and evaluate T,T\(^{2}\) and L. Tabulate your readings. plot of a graph of T\(^{2}\) on the vertical axis against L on the horizontal axis, starting both axes from the origin (0,0) determine the slope, s, of the graph. Also determine the intercept, C, of the graph on the T\(^{2}\) axis; evaluate: i. \(k_1\) = \(\frac{4\pi^{2}}{s_{1}}\), ii. \(k_2\) = \(\frac{c}{8}\) [Take \(\pi\) = \(\frac{22}{7}\)] state two precautions taken to ensure accurate results. (b)i. What is meant by the period of oscillation of an oscillating body? i. Explain the acceleration of free fall due to gravity.

Using the above diagram as a guide, carry out the following experiment: Place the equilateral triangular glass prism on the drawing paper. Trace the outline ABC of the prism. remove the prism. Draw a line NO such that it makes an angle i = 25º with the normal at point O on side AB fix two pins \(R_1\) and \(R_2\) vertically on line N0. Replace the prism on its outline; place the reflecting surface of the plane mirror in contact with the face AC of the prism; looking through the face BC of the prism, fix two other pins at \(R_3\) and \(R_4\) such that the pins appear to be in a straight line with the images of the pins at \(R_1\) and \(R_2\); remove the prism, the mirror, and the pins. Draw a line to join points \(R_4\) and \(R_3\) produce line \(R_4\)\(R_3\) to meet line NO produced at T; measure and record the angle \(\theta\) at T and e at D; repeat the procedure for four other values of i = 30^\circ, 35^\circ, 40^\circ, and 45^\circ. In each case, measure and record the corresponding values of \(\theta\) and e. Tabulate your readings; plot a graph of e on the vertical axis and \(\theta\) on the horizontal axis; evaluate k = s\(^{-1}\) state two precautions taken to ensure accurate results. [Attach your traces to your answer booklet] (b)i. State four characteristics of the image of an object formed by a plane mirror. ii. State two Conditions necessary for total internal reflection to occur in a medium.

You have been provided with an accumulator E, a standard resistor Rx, two resistance boxes R\(B_1\) and R\(B_2\), two keys \(K_1\) and \(K_2\) and other necessary apparatus. Measure and record the e.m.f of the accumulator. Connect a circuit as shown above. Set the resistance R, in the resistance box such that R in R\(B_1\) = R in R\(B_2\) = 1\(\Omega\). With \(K_1\) open and \(K_2\) closed, measure and record the potential difference V across the standard resistor Rx. (v) Close K, and K,. Read and record the potential difference \(V_o\) across Rx. Evaluate V\(_{1}^{-1}\) Repeat procedure (v) for four other values of R = 2, 3, 4 and 5\(\Omega\) respectively. In each case, ensure that the value of R in R\(B_1\) is equal to the value of R in R\(B_2\). Evaluate V\(_{1}^{-1}\) in each case. Tabulate your readings. Plot a graph of V\(_{1}^{-1}\) on the vertical axis against R on the horizontal axis starting both axes from the origin (0,0). Determine the slope, s, of the graph and the intercept on the vertical axis. Evaluate y = \(\frac{1}{s}\) State two precautions taken to ensure accurate results (b)i. Explain what is meant by the potential difference between two points in an electric circuit ii. A cell has an e.m.f. of 3 V. When it is connected across a resistor of resistance 4\(\Omega\), a current 0.5A passes through the circuit. Calculate the internal resistance of the cell.

A photon of wavelength 6.0 x 10\(^{-7}\) m behaves like a particle of a certain mass. The value of that mass is [h = 6.63 x 10\(^{-34}\) Js, c = 3.0 x 10\(^8\) ms\(^{-1}\)]

Trioxonitrate (V) acid is not used for preparing hydrogen gas from metals because it

An element used in the production of matches is

When calcium oxide is heated with carbon, the oxide will

A solution which on treatment with hydrochloric acid produces a colourless, odourless gas which turns lime water milky is most likely to be a

The soft solder used for welding and plumbing is alloy of

The reddish-brown rust on iron roofing sheets consists of

Na\(_2\)S\(_2\)O\(_3\)(aq) + 2HCl(aq) → 2NaCl(aq) + H\(_2\)O(l) Which of the following would introduce the greatest increase in the rate of the chemical reaction above?

The tincture of iodine means iodine dissolved in

Cu\(^{2+}\)(aq) + 4NH\(_3\)(g) ↔ [Cu(NH\(_3\))\(_4\)]\(^{2+}\)(aq) In the reaction above, what is the effect of precipitating Cu\(^{2+}\)(aq) as CuS(s)?