(a) State two factors which affect the angle of deviation of a ray of light through a triangular glass prism.

(b) Seven virtual images of an object are formed when two plane mirrors are inclined at an angle \(\theta\) to each other. Calculate the value of \(\theta\).

(c) By means of a ripple tank, a student was able to generate a series of transverse waves by varying the frequency of the dipper, and all the waves so generated covered a distance of 0.80 m in 0.2s.

(i) Determine the speed, v, of the waves.

Copy and complete the table given in your answer booklet.

(iii) Plot a graph with f on the vertical axis and \(\lambda ^{-1}\) on the horizontal axis.
(iv) What does the slope of the graph represent?

(a)

When a positively charged conductor is placed near a candle flame, the flame spreads out as shown in the diagram above. Explain this observation.

(b) A proton moving with a speed of 5.0 x 10\(^{5}\) ms\(^{-1}\) enters a magnetic field of flux density 0.2 T at an angle of 30° to the field. Calculate the magnitude of the magnetic fcrce exerted on the proton. [Proton charge = 1.6 x 10\(^{-19}\) C]

(c)

The diagram above illustrates a 9.0 V battery of internal resistance 0.5 \(\Omega\) connected to two resistors of values 2.0 \(\Omega\) and R \(\Omega\). A\(_1\) A\(_2\) and A\(_3\) are ammeters of negligible internal resistances. If Al reads 4.0 A, calculate the:

(i) equivalent resistance of the combined resistors 2.0 \(\Omega\) and R \(\Omega\);

(ii) currents through A\(_1\) and A\(_3\) ; (iii) value of R.

 (a) State three conclusions that can be drawn from Rutherford's experiment on the scattering of alpha particles by a thin metal foil in relation to the structure of the atom

The diagram above illustrates th3 energy levels of an electron in an atom. If an excited electron moves from n\(_2\) to n\(_\theta\), calculate the:

(i) frequency;

(ii) wavelength of the emitted radiation. [ h = 6.6 x 10\(^{-34}\) Js; le V = .6 x 10\(^{-19}\) J; C = 3.0 x 10\(^8\) ms\(^{-1}\)]

(c) The following nuclear equations represent two types of radioactivity.

\(^{226}_{88}R_a \to ^{222}_{86}R_n + ^a_2a\)      (Equation A)

\(^{14}_7N + ^4_2a \to ^{17}_8O + ^1_1p\)            (Equation B)

Identify each type and explain briefly the difference between them

A particle is dropped from a vertical height h and falls freely for a time t.  With the aid of a sketch, explain how h varies with

            (a)        t;
            (b)        t\(^2\).

A particle is projected horizontally at 15ms\(^{-1}\) from a height of 20m.
Calculate the horizontal distance covered by the particle just before hitting the ground.

[g = 10 ms\(^{-2}\)]