The barometric reading at a place is 73.5m Hg. Calculate the pressure at a point 30m below the surface of water contained in a reservoir at the place. [g = ms^-2, density = 1.2 x 10⁴kg m^-3, density of water = 1.0 x 10³m^-3]

• A. 4.0 x 10⁵ Nm^-2
• B. 3.0 x 10⁵ Nm^-2
• C. 2.0 x 10⁵ Nm^-2
• D. 1.0 x 10⁵ Nm^-2

At different locations on the earth's surface, the earth's magnetic field is

• A. the same in magnitude and direction
• B. the same in magnitude but different in direction
• C. different in both magnitude and direction
• D. different in magnitude but different in direction

When the sun, moon and the earth are as shown in the diagram below an observer standing in X is in

• A. Penumbra and sees a partial eclipse
• B. Penumbra and sees a total eclipse
• C. umbra and sees a partial eclipse
• D. umbra and sees a total eclipse

The quantity of motion of a body is its

• A. acceleration
• B. displacement
• C. momentum
• D. velocity

(a)Explain resonance frequency as applied in RLC series Circuit.

(ii) Sketch a diagram to illustrate the variation of frequency, f, with the resistance, R, the capacitive reactance, X\(_c\) and the inductive reactance X\(_L\), in RLC series circuit.

(iii) Using the diagram drawn in (a)(ii) state whether the current in the circuit leads, lags or is in phase with the supply voltage when: (\(\alpha\)) f = f\(_o\); (\(\beta\)) f < f\(_o\) ; (\(\gamma\))f\(_o\); when f\(_o\) is the resonant frequency.

b)(i) Define mutual inductance.

(i) The coil of an electric generator has 500 turns and 8.0cm diameter. If it rotates in a magnetic field of density 0.25T, calculate the angular speed when its peak voltage is 480V. [\(\pi\) = 3.142].

A ray of light traveling from glass into ethyl alcohol is incident at the boundary at an angle of incidence 30°. Calculate the angle of refraction.

[Refractive index of glass =1.5; refractive index of ethyl alcohol = 1.36]

• A. 27°
• B. 33.5°
• C. 51.7°
• D. 72.8°

One of the following readings represents the measurement of the length of a metal rod using vernier callipers. Taking the reading accuracy into consideration, the most likely one is

• A. 5.16cm
• B. 5.165cm
• C. 5.0cm
• D. 5.160cm

Water is not a good thermometric liquid because it?

• A. expands unevenly between 0
• B. maintains fixed density
• C. has high freezing point
• D. wets glass

When water is boiling, it

• A. gets hotter
• B. increase is mass
• C. decreases in mass
• D. changes to steam

(a) State two factors which affect the mass of elements deposited during electrolysis.

(b) List two non-electrolysis.