POST UTME MADONNA UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A simple harmonic motion has a period of 2 s and an amplitude of 0.5 m. What is the angular frequency of the motion?
A. 1.0 rad/s
B. 2.0 rad/s
C. 3.0 rad/s
D. 4.0 rad/s
Question 2
A radioactive sample of Uranium-238 emits an \alpha particle. What is the mass number of the resulting nucleus?
A. 234
B. 236
C. 238
D. 240
Question 3
A 50 Hz AC voltage is applied across a 100 Ω resistor. What is the maximum current?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 4
A wire of length $L$ and cross-sectional area $A$ is stretched between two fixed points. The tension in the wire is $T$. Assuming the wire is uniform and neglecting the effects of gravity, find the speed of a transverse wave propagating along the wire.
A. v = \sqrt{\frac{T}{\rho A}}
B. v = \sqrt{\frac{\rho A}{T}}
C. v = \sqrt{\frac{A}{\rho T}}
D. v = \sqrt{\frac{\rho}{A T}}
Question 5
A heat engine operates between two temperatures $T_1$ and $T_2$, where $T_1 > T_2$. The efficiency of the engine is given by $\eta = 1 - \frac{T_2}{T_1}$. What is the maximum possible efficiency of the engine?
A. 1 - \frac{T_2}{T_1}
B. \frac{T_1 - T_2}{T_1}
C. \frac{T_2 - T_1}{T_2}
D. \frac{T_1}{T_2}
Question 6
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 7
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ in terms of $k$ and $m$.
A. \omega = \frac{k}{m}
B. \omega = \sqrt{\frac{m}{k}}
C. \omega = \frac{m}{k}
D. \omega = \sqrt{\frac{k}{m}}
Question 8
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)$, where $n$ is a positive integer. What is the expectation value of the position operator for this particle?
A. 0
B. \frac{L}{2}
C. L
D. \frac{n\pi L}{2}
Question 9
A photon of energy 2 eV is incident on a metal surface. If the work function of the metal is 1 eV, what is the maximum kinetic energy of the emitted electron?
A. 0 eV
B. 1 eV
C. 2 eV
D. 3 eV
Question 10
A 12 V battery is connected in series with a 4 Ω resistor and a 6 Ω resistor. What is the total resis\tance?
A. 6 Ω
B. 8 Ω
C. 10 Ω
D. 12 Ω
Question 11
A particle of mass 2.00 kg is moving in a circular path with a radius of 3.00 m. If the particle has a speed of 4.00 m/s, what is the magnitude of the centripetal acceleration?
A. 1.00 m/s^2
B. 2.00 m/s^2
C. 3.00 m/s^2
D. 4.00 m/s^2
Question 12
A light ray passes from air into a glass slab of thickness 5 cm. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 13
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the centripetal acceleration?
A. \frac{v^2}{r}
B. \frac{r}{v}
C. \frac{v}{r}
D. \frac{r^2}{v}
Question 14
A simple harmonic motion has a maximum displacement of 2.00 m and a period of 4.00 s. What is the angular frequency?
A. 0.500 rad/s
B. 1.00 rad/s
C. 1.50 rad/s
D. 2.00 rad/s
Question 15
A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. What is the magnitude of the force acting on the particle?
A. \frac{mv}{r}
B. \frac{mv^2}{r}
C. \frac{mv^3}{r}
D. \frac{mv^4}{r}

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