POST UTME CRAWFORD UNIVERSITY 2022 Physics | Objective

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Question 1
A 2.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.20 m from its equilibrium position and then released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed of the block?
A. 0.20 m/s
B. 0.20 m/s
C. 0.20 m/s
D. 0.20 m/s
Question 2
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, determine the angular frequency of the resulting simple harmonic motion.
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 3
A parallel-plate capacitor has a capaci\tance of 5.0 µF and is charged to a potential difference of 10 V. If the dis\tance between the plates is doubled, what is the new potential difference?
A. 5.0 V
B. 5.0 V
C. 5.0 V
D. 5.0 V
Question 4
A ray of light passes through a prism of angle $A$ and is re\fracted at an angle $B$. Determine the angle of deviation $D$.
A. D = A + B - \frac{A}{2}
B. D = A + B + \frac{A}{2}
C. D = A - B + \frac{A}{2}
D. D = A - B - \frac{A}{2}
Question 5
A capacitor of capaci\tance 6 μF is connected in parallel with a 4 μF capacitor. If a potential difference of 150 V is applied across the combination, calculate the charge on the 6 μF capacitor.
A. 0.1 C
B. 0.2 C
C. 0.3 C
D. 0.4 C
Question 6
A radioactive sample of Δₗ emits Δₗα particles with a half-life of 5.3 days. If 50% of the sample decays in 10.6 days, what is the decay cons\tant λ?
A. 0.130 d±
B. 0.130 d±
C. 0.130 d±
D. 0.130 d±
Question 7
A projectile is fired from the ground with an initial velocity of 20 m/s at an angle of 30° to the horizontal. If the projectile lands 50 m away from the point of projection, calculate the time of flight.
A. 2 s
B. 3 s
C. 4 s
D. 5 s
Question 8
A radioactive sample of Uranium-238 emits an \alpha particle and then undergoes \beta decay. What is the resulting nucleus?
A. Thallium-234
B. Thorium-234
C. Radium-226
D. Actinium-227
Question 9
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 2.5 nF, what is the value of the dielectric cons\tant?
A. 1.6
B. 2.5
C. 3.2
D. 4.0
Question 10
A parallel plate capacitor has a capaci\tance of 10 μF. What is the potential difference across the capacitor if a charge of 2 µC is stored on it?
A. 2 V
B. 4 V
C. 6 V
D. 8 V
Question 11
A magnetic field of 0.5 T is directed perp\endicular to a wire of length 2 m and cross-sectional area 0.01 m^2. If the current in the wire is 5 A, what is the force exerted on the wire?
A. 0.25 N
B. 0.5 N
C. 1.0 N
D. 2.0 N
Question 12
A 2 kg block is moving in a circular path with a radius of 1.5 m. If the block experiences a centripetal acceleration of 4 m/s^2, what is its speed?
A. 3 m/s
B. 4 m/s
C. 5 m/s
D. 6 m/s
Question 13
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and then released. What is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 14
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. Determine the centripetal force $F_c$ required to maintain the particle in its orbit.
A. F_c = \frac{mv^2}{r}
B. F_c = \frac{mr^2}{v^2}
C. F_c = \frac{v^2}{mr}
D. F_c = \frac{r^2}{mv^2}
Question 15
A particle of mass $m$ is projected from the origin with an initial velocity $vec{v}_0 = v_0 hat{i}$. Assuming the particle moves in a plane and neglects air resis\tance, determine the time $t$ at which the particle's velocity vector makes an angle of $45^circ$ with the $x$-axis.
A. t = \frac{\pi}{4\omega}
B. t = \frac{\pi}{2\omega}
C. t = \frac{\pi}{\omega}
D. t = \frac{\pi}{4\omega^2}

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