POST UTME LASU 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. What is the magnitude of the acceleration of the particle?
A. 6 m/s^2
B. 8 m/s^2
C. 10 m/s^2
D. 12 m/s^2
Question 2
A block of mass 5 kg is placed on a horizontal surface. A force of 20 N is applied to the block, cau\sing it to accelerate at 2 m/s^2. What is the coefficient of kinetic friction between the block and the surface?
A. 0.2
B. 0.4
C. 0.6
D. 0.8
Question 3
A magnetic field is produced by a current-carrying wire. If the current is 2 A and the wire is 0.5 m long, what is the magnitude of the magnetic field at a dis\tance of 1 m from the wire?
A. 0.1 T
B. 0.2 T
C. 0.3 T
D. 0.4 T
Question 4
A 5.0 m long rod is heated from 20°C to 100°C. If the coefficient of linear expansion is 10 × 10^\( -6 \) K^\( -1 \), what is the change in length?
A. 0.05 m
B. 0.10 m
C. 0.15 m
D. 0.20 m
Question 5
A block of mass $M$ is attached to a horizontal spring with spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released from rest, what is the period of the resulting simple harmonic motion?
A. 2\pi\sqrt{\frac{M}{k}}
B. 2\pi\sqrt{\frac{k}{M}}
C. \pi\sqrt{\frac{M}{k}}
D. \pi\sqrt{\frac{k}{M}}
Question 6
A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 2.5 μF
B. 5 μF
C. 10 μF
D. 20 μF
Question 7
A block of mass $M$ is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released from rest, what is the maximum speed of the block?
A. \sqrt{\frac{kx^2}{M}}
B. \sqrt{\frac{Mx^2}{k}}
C. \sqrt{\frac{k}{Mx^2}}
D. \sqrt{\frac{M}{kx^2}}
Question 8
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 9
A 5 kg block is moving on a frictionless surface with an initial velocity of 10 m/s. If a force of 20 N is applied to the block for 2 seconds, what is the final velocity of the block?
A. 15 m/s
B. 20 m/s
C. 25 m/s
D. 30 m/s
Question 10
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c$ given by $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled, what happens to the centripetal force?
A. The centripetal force increases by a factor of 4.
B. The centripetal force remains the same.
C. The centripetal force decreases by a factor of 2.
D. The centripetal force increases by a factor of 2.
Question 11
A parallel plate capacitor has a capaci\tance of $C = 2\,\mu\text{F}$ and is charged to a potential difference of $V = 10\,\text{V}$. If the dis\tance between the plates is doubled, what happens to the capaci\tance?
A. The capaci\tance increases by a factor of 2.
B. The capaci\tance remains the same.
C. The capaci\tance decreases by a factor of 2.
D. The capaci\tance increases by a factor of 4.
Question 12
A heat engine operates between a temperature of 500 K and 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output of the engine?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 13
A particle of mass $m$ and charge $q$ is moving in a circular path of radius $r$ in a uniform magnetic field $B$. If the particle's speed is $v$, what is the magnitude of the magnetic field?
A. \frac{mv}{qr}
B. \frac{mv^2}{qr}
C. \frac{m^2v}{qr}
D. \frac{mv}{q^2r}
Question 14
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capacitor is charged to a potential difference $V$, what is the energy stored in the capacitor?
A. \frac{1}{2}CV^2
B. \frac{1}{2}AV^2
C. \frac{1}{2}dV^2
D. \frac{1}{2}AVd
Question 15
A convex lens has a focal length of $f = 20\,\text{cm}$. If an object is placed at a dis\tance of $u = 30\,\text{cm}$ from the lens, what is the image dis\tance?
A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm

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