POST UTME ELIZADE UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A vector α has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. Find the x-component of the vector.
A. 2.5 units
B. 3.5 units
C. 4.5 units
D. 5.5 units
Question 2
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 released from rest. What is the maximum speed of the block?
A. 0.5 m/s
B. 1 m/s
C. 1.5 m/s
D. 2 m/s
Question 3
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The capaci\tance is 2.5 nF. Find the charge stored when the potential difference between the plates is 10 V.
A. 0.05 C
B. 0.1 C
C. 0.15 C
D. 0.2 C
Question 4
A simple p\endulum of length 1.5 m is released from rest at an angle of 30° from the vertical. If the p\endulum is subject to a gravitational acceleration of 9.8 m/s², what is the time period of the p\endulum?
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 5
A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. The projectile's trajectory is given by $x(t) = v_0 \cos \theta t$ and $y(t) = v_0 \sin \theta t - \frac{1}{2} g t^2$. What is the time of flight of the projectile?
A. \frac{v_0}{g}
B. \frac{2v_0}{g}
C. \frac{2v_0 \sin \theta}{g}
D. \frac{2v_0 \cos \theta}{g}
Question 6
A radioactive sample of Uranium-238 has a half-life of 4.5 billion years. If the initial activity is 100 Bq, what is the activity after 9 billion years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 7
A gas at a pressure of 2 atm and temperature of 300 K is allowed to expand to a volume of 10 L. What is the final pressure of the gas?
A. 0.2 atm
B. 0.5 atm
C. 1 atm
D. 2 atm
Question 8
A 10 Ω resistor is connected in series with a 20 Ω resistor. What is the equivalent resis\tance?
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
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 x 10^-10 F, what is the charge stored when the potential difference between the plates is 100 V?
A. 2.5 x 10^-7 C
B. 2.5 x 10^-8 C
C. 2.5 x 10^-9 C
D. 2.5 x 10^-10 C
Question 10
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle experiences a centripetal force $F_c$ given by $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_{c,new}$?
A. \frac{2mv^2}{r}
B. \frac{4mv^2}{r}
C. \frac{mv^2}{2r}
D. \frac{mv^2}{4r}
Question 11
A radioactive sample decays with a half-life of $T_{1/2} = 5\,\text{years}$. If the initial activity is $A_0 = 100\,\text{Bq}$, what is the activity $A(t)$ after $t = 10\,\text{years}$?
A. 12.5\,\text{Bq}
B. 25\,\text{Bq}
C. 50\,\text{Bq}
D. 100\,\text{Bq}
Question 12
A light ray passes from air into a glass slab with a re\fractive index of 1.5. 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 is projected at an angle of 60° to the horizontal with an initial velocity of 20 m/s. If the acceleration due to gravity is 9.8 m/s^2, what is the time of flight?
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 14
A particle of mass 2 kg is moving in a circular path with a radius of 3 m and a speed of 4 m/s. What is the centripetal acceleration of the particle?
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 4 m/s^2
Question 15
A 5 V battery is connected in parallel with a 10 Ω resistor. What is the current drawn from the battery?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A

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