POST UTME ABU 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 20 years?
A. 500 Bq
B. 250 Bq
C. 125 Bq
D. 62.5 Bq
Question 2
A uniform solid sphere of radius $R$ and mass $M$ is placed at the bottom of a frictionless inclined plane of angle $\theta$. If the sphere starts rolling without slipping, find its acceleration $a$ in terms of $g$ and $\theta$.
A. \frac{g \sin \theta}{1 + \frac{2}{5} \frac{1}{\tan^2 \theta}}
B. \frac{g \sin \theta}{1 + \frac{1}{5} \frac{1}{\tan^2 \theta}}
C. \frac{g \sin \theta}{1 + \frac{3}{5} \frac{1}{\tan^2 \theta}}
D. \frac{g \sin \theta}{1 + \frac{4}{5} \frac{1}{\tan^2 \theta}}
Question 3
A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 4
A gas is contained in a cylinder of volume 2 m^3 at a pressure of 100 kPa. If the temperature of the gas is increased by 20°C, what is the new pressure of the gas?
A. 120 kPa
B. 140 kPa
C. 160 kPa
D. 180 kPa
Question 5
A block of mass 2 kg is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 6
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the dis\tance between the plates is increased by a factor of 2, what is the new capaci\tance?
A. 5 μF
B. 10 μF
C. 20 μF
D. 40 μF
Question 7
A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 10 years?
A. 125 Bq
B. 250 Bq
C. 500 Bq
D. 1000 Bq
Question 8
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. What is the total resis\tance of the circuit?
A. 2.4 Ω
B. 3.2 Ω
C. 4.0 Ω
D. 5.6 Ω
Question 9
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 subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 10
A particle is confined to a one-dimensional box of length 1.0 m. If the particle has a mass of 9.11 x 10^-31 kg, what is the energy of the particle?
A. 1.56 x 10^-36 J
B. 1.56 x 10^-34 J
C. 1.56 x 10^-32 J
D. 1.56 x 10^-30 J
Question 11
A 2.0 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, what is its maximum speed?
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 12
A radioactive sample decays at a rate of 0.05% per hour. If the initial activity is 1000 Bq, what is the activity after 6 hours?
A. 500 Bq
B. 750 Bq
C. 900 Bq
D. 950 Bq
Question 13
A 10 V battery is connected in series with a 5 Ω resistor and a 2 Ω resistor. What is the current flowing through the circuit?
A. 0.5 A
B. 1 A
C. 2 A
D. 3 A
Question 14
A 0.5 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.1 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the period of the block.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 15
A particle of mass $m$ is moving in a circular orbit of radius $r$ with speed $v$. If the particle is subject to a centripetal force $F_c$, find the magnitude of the force.
A. \frac{mv^2}{r}
B. \frac{mv^2}{2r}
C. \frac{mv^2}{3r}
D. \frac{mv^2}{4r}

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