Advanced level 2026 Adamawa regional mock physics 2

SECTION 1.

(One hour 30 minutes)

Answer all Questions

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1. (a)(i). Using two different equations, explain why the homogeneity of a physical equation is not usually a sufficient condition for the correctness of the physical equation? (2 marks)

(b). The energy, $W$, stored in a stretched wire is given by the equation:

Where, $E$ is the Young’s modulus of elasticity of the material of the wire, $A$ is the uniform cross-sectional area of the wire, $e$ is the extension of the wire and $L$ is the original length of the wire. Show that the equation is homogeneous. (4 marks)

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2. The graph in fig (1) below shows how the potential energy (U/J) of a mass on a helical spring varies with displacement, (x/cm)

(Image description: A parabolic graph of Potential Energy $U$ in Joules against displacement $x$ in cm. The curve passes through the origin $(0,0)$ and reaches $15\text{J}$ at $x = -20\text{cm}$ and $x = +20\text{cm}$.)

• (a)(i). Use the data from the graph to calculate the spring constant.

• (ii). If the frequency of the oscillation is $4 \text{ Hz}$, calculate the maximum velocity of the mass.

• (iii) At what point does the mass has zero acceleration? Explain your answer. (6 marks)

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3. (a). Define the following: transverse wave, longitudinal wave and Doppler effect (3 marks)

(b). $S_1$ and $S_2$ in fig (2) below are two identical, small loudspeakers, $0.50 \text{ m}$ apart, and connected to the same audio frequency generator. They vibrate in phase producing sound waves of wavelength $0.40 \text{ m}$. A microphone detects a minimum in the pattern of superposition at the point $P$. If $P$ is $12.0 \text{ m}$ from $S_2$ and $PS_1 > PS_2$. Calculate the distance from $P$ to $S_1$. (3 marks)

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4. (a). Define the terms:

• (i). Electric field strength

• (ii). Electric potential, both at a point in an electric field (2 marks)

(b). An electric field is established between two parallel plates as shown in fig (3) below.

(Image description: Two parallel plates with a potential difference of $2000\text{V}$ ($2000\text{V}$ top, $0\text{V}$ bottom). Inside, a right-angled triangle PQR is shown. $PQ = 40 \text{ cm}$ (horizontal), $QR = 30 \text{ cm}$ (vertical), and $PR = 50 \text{ cm}$ (hypotenuse).)

The plates are $50 \text{ cm}$ apart and a P.d of $2000 \text{ V}$ is applied between them. A point charge of value $+5.0 \text{ \mu C}$ is held at point Q. It is moved first to R then to P and finally back to Q. The distances are shown in the diagram. Calculate:

• (i). the force experienced by the charge at point R (2 marks)

• (ii). the energy involved in moving the charge from Q to R. (2 marks)

• (iii). the net energy needed to move the charge along the path QRPQ (2 marks)