ijmb model questions vol1 2025 physics | Practical

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Question 1 View Details
An irregular metal specimen is to be investigated for its density using the water‑displacement method. The balance available has a least count of 0.01 g and the graduated cylinder has a least count of 0.5 mL. The student records the following readings:
Question Parts
(a)
The mass of the empty container is 50.12 g and the combined mass of container plus specimen is 150.23 g. Determine the mass of the metal specimen, stating the appropriate uncertainty.
(b)
The initial water level in the cylinder is 200.0 mL and after immersing the specimen it reads 215.5 mL. Calculate the volume of the specimen and give its uncertainty.
(c)
Determine the density of the metal specimen, expressing the result with the correct number of significant figures.
(d)
Estimate the percentage uncertainty in the density using the given uncertainties and list two possible systematic errors that could affect the result.
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Question 2 View Details
A force table is set up with two known forces acting on a ring. Force P has a magnitude of 5.0 N and is directed 30° above the positive x‑axis. Force Q has a magnitude of 8.0 N and is directed 120° measured counter‑clockwise from the positive x‑axis. The least‑count of the force sensor is 0.1 N and the protractor reads angles to the nearest 1°.
Question Parts
(a)
Resolve forces P and Q into their horizontal (x) and vertical (y) components, stating the sign convention used.
(b)
Using the components from part (a), find the magnitude and direction (angle measured from the positive x‑axis) of the resultant force R of P and Q.
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Question 3 View Details
A simple pendulum is set up to determine the acceleration due to gravity. The bob is a solid steel sphere of negligible size compared with the length of the string. The string is attached to a fixed point and the distance from the point of suspension to the centre of the bob is measured with a metre rule. The pendulum is displaced a small angle and released. The time for 20 complete oscillations is recorded three times using a stop‑watch.
Question Parts
(a)
If the measured distance from the point of suspension to the centre of the bob is 0.540 m, state the length L of the pendulum to be used in calculations.
(b)
The recorded times for 20 oscillations are 40.2 s, 40.5 s and 40.3 s. Calculate the average period T (in seconds) of one oscillation.
(c)
Using the average period obtained, calculate the experimental value of g (in m s⁻²) using the formula T = 2π√(L/g). Show all steps.
(d)
Determine the percentage error of the experimental value of g obtained in part (c) relative to the accepted value 9.81 m s⁻².
(e)
State two possible sources of systematic error that could have contributed to the large percentage error obtained.
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Question 4 View Details
A wooden block of mass 2.00 kg is placed on an inclined plane. Two spring‑scale sensors are used: Scale A is attached to the block by a light string parallel to the plane to measure the component of weight acting down the slope, and Scale B is placed between the block and the plane to read the normal reaction. The readings obtained are: • Scale A (parallel component) = 9.8 N • Scale B (normal reaction) = 16.9 N The block is then released from rest on the same plane. The coefficient of kinetic friction for the block–plane contact is known to be μ_k = 0.15.
Question Parts
(a)
Determine the angle θ of the inclined plane using the two scale readings.
(b)
Using the angle found in part (a), calculate the coefficient of static friction μ_s that would just prevent the block from moving when it is at rest on the plane.
(c)
With the kinetic friction coefficient μ_k = 0.15, compute the acceleration a of the block down the plane after it is released.
(d)
Assuming the block starts from rest, calculate the distance travelled along the plane in the first 2.0 s.
(e)
Suggest two experimental sources of error that could affect the determination of the angle and the acceleration.
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