ijmb model questions vol1 2021 physics | Practical

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Question 1 View Details
An irregularly shaped solid metal object is to be investigated for its density using the water‑displacement method. The following apparatus are provided: a clean dry beaker (capacity 250 mL) graduated in 10 mL divisions, a set of calibrated weighing trays, a digital balance (readings to 0.01 g), and a thin rubber stopper. The candidate is required to:
Question Parts
(a)
Record the mass of the solid (in grams) and the initial and final water readings (in millilitres) after the solid is completely immersed.
(b)
Using the data obtained, calculate (i) the volume of water displaced by the solid (in cm³) and (ii) the density of the solid (in g cm⁻³). Show all steps.
(c)
Identify two possible systematic sources of error in this experiment and suggest a practical method to minimise each.
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Question 2 View Details
A force table is set up to investigate the resultant of two forces acting at known angles. The table is equipped with a central pivot, a set of calibrated force strings, and protractors for angle measurement. The following forces are applied:
Question Parts
(a)
Resolve each force into its horizontal (x) and vertical (y) components. Use g = 9.81 m s⁻² only if required for unit conversion.
(b)
Determine the resultant force by adding the components found in part (a). Give (i) the resultant’s horizontal and vertical components, (ii) its magnitude (to two decimal places), and (iii) its direction measured counter‑clockwise from the positive x‑axis (to the nearest degree).
(c)
A third force is to be applied so that the system is in equilibrium. State the magnitude and direction (to the nearest degree) of this balancing force.
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Question 3 View Details
A low‑friction cart is released from rest at the top of a smooth inclined plane. A ticker timer set to a time interval of 0.02 s per dot records the motion on a strip of ticker paper. The distances between successive dots (in centimetres) for the first five intervals are: 2.1, 2.4, 2.8, 3.2 and 3.7. The total length of the inclined track is 1.00 m. The number of dots recorded for the cart to travel the whole 1.00 m is 23.
Question Parts
(a)
Calculate the acceleration of the cart using the ticker‑timer data. Show all intermediate steps.
(b)
Using the acceleration found in part (a), calculate the theoretical time required for the cart to travel the full 1.00 m from rest.
(c)
Determine the percentage error between the theoretical time of part (b) and the observed time obtained from the ticker (23 dots).
(d)
List two possible sources of error in this experiment and suggest one practical way to reduce each error.
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Question 4 View Details
A helical spring is suspended vertically from a fixed support. Masses are added to the lower hook and the extension of the spring is recorded each time. The data obtained are: Mass (kg) : 0.10 0.20 0.30 0.40 Extension (cm) : 2.5 5.0 7.5 10.0 After the static measurements, a 0.50 kg mass is attached to the same spring and the system is set into simple harmonic motion. The time for 10 complete oscillations is measured as 6.28 s.
Question Parts
(a)
Determine the spring constant k from the static extension data using Hooke’s law.
(b)
Using the k obtained in part (a), calculate the theoretical period of oscillation for the 0.50 kg mass. Then compare it with the observed period (average of 10 oscillations) and compute the percentage difference.
(c)
Suggest two plausible reasons for any discrepancy between the theoretical and observed periods and propose one method to minimise each error.
(d)
If the spring is required to support a load without extending more than 12 cm, determine the maximum mass that can be safely attached using the static relationship obtained in part (a).
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