Exam Body

Year

Subject

Paper Type

POST UTME OSUSTECH 2019 Physics | Objective

Are you preparing for POST UTME OSUSTECH exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

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 to $2v$, what is the new centripetal force $F_{c,new}$?

Correct A. \frac{m(2v)^2}{r}

B. \frac{m(2v)^2}{2r}

C. \frac{m(2v)^2}{4r}

D. \frac{m(2v)^2}{8r}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

A capacitor consists of two parallel plates, each of area $A$ and separated by a dis\tance $d$. The capacitor is charged to a potential difference $V$ and then disconnected from the power source. If the dis\tance between the plates is doubled to $2d$, what is the new capaci\tance $C_{new}$?

A. \frac{A\epsilon_0}{2d}

Correct B. \frac{A\epsilon_0}{d}

C. \frac{A\epsilon_0}{4d}

D. \frac{A\epsilon_0}{8d}

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

A projectile is launched from the origin $(0,0)$ with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. The projectile's trajectory is given by the parametric equations $x = v_0t\cos\theta$ and $y = v_0t\sin\theta - \frac{1}{2}gt^2$. If the projectile lands on the ground at $y = 0$, what is the time $t$ of flight?

Correct A. \frac{2v_0\sin\theta}{g}

B. \frac{v_0\sin\theta}{g}

C. \frac{2v_0\cos\theta}{g}

D. \frac{v_0\cos\theta}{g}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

A resistor $R$ is connected in series with an inductor $L$ and a capacitor $C$. The circuit is driven by an AC voltage source with a frequency $f$. If the inductive reac\tance $X_L = 2\Omega$ and the capacitive reac\tance $X_C = 3\Omega$, what is the impedance $Z$ of the circuit?

A. \sqrt{R^2 + $ X_L - X_C $^2}

Correct B. \sqrt{R^2 + $ X_L + X_C $^2}

C. \sqrt{R^2 + $ X_L - X_C $^2 + X_C^2}

D. \sqrt{R^2 + $ X_L + X_C $^2 + X_C^2}

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

A sound wave with a frequency $f$ is traveling through a medium with a speed $v$. If the wavelength $\lambda$ of the sound wave is doubled to $2\lambda$, what is the new frequency $f_{new}$?

A. \frac{f}{2}

B. \frac{f}{4}

Correct C. 2f

D. 4f

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

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 net force acting on the particle?

A. 16 N

Correct B. 12 N

C. 20 N

D. 24 N

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

A light ray passes through a prism with an angle of incidence of 30° and an angle of re\fraction of 20°. If the angle of the prism is 60°, what is the angle of deviation?

Correct A. 10°

B. 20°

C. 30°

D. 40°

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

A capacitor consists of two parallel plates, each with a surface area of 0.1 m² and separated by a dis\tance of 0.01 m. If the dielectric cons\tant of the material between the plates is 3, what is the capaci\tance?

A. 10 μF

B. 20 μF

Correct C. 30 μF

D. 40 μF

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

A current of 5 A flows through a resistor of 10 Ω. If the voltage across the resistor is 50 V, what is the power consumed?

A. 250 W

Correct B. 500 W

C. 750 W

D. 1000 W

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the acceleration due to gravity is 9.8 m/s², what is the maximum height reached by the projectile?

A. 10 m

B. 20 m

Correct C. 30 m

D. 40 m

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11

A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle is in the ground state, what is the expectation value of its position?

Correct A. \frac{L}{2}

B. \frac{L}{4}

C. \frac{3L}{4}

D. \frac{L}{3}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12

A block of mass $M$ is placed on a horizontal, frictionless surface. A force $F$ is applied to the block, cau\sing it to accelerate at a rate $a$. What is the force $F$?

Correct A. Ma

B. \frac{1}{2}Ma

C. \frac{1}{4}Ma

D. \frac{1}{3}Ma

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13

A parallel-plate capacitor has a capaci\tance of $C$. If the dis\tance between the plates is increased by a factor of $k$, what is the new capaci\tance?

Correct A. \frac{C}{k}

B. Ck

C. \frac{C}{k^2}

D. C + \frac{C}{k}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

A gas is contained in a cylinder of volume $V$. If the temperature of the gas is increased by a factor of $k$, what is the new volume?

Correct A. kV

B. \frac{V}{k}

C. V + kV

D. \frac{V}{k^2}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

A projectile is launched at an angle of $\theta$ above the horizontal. If the initial velocity is $v_0$, what is the maximum height reached by the projectile?

Correct A. \frac{v_0^2 \sin^2 \theta}{2g}

B. \frac{v_0^2 \cos^2 \theta}{2g}

C. \frac{v_0^2 \sin \theta}{2g}

D. \frac{v_0^2 \cos \theta}{2g}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16

A uniform magnetic field of magnitude 2 T is directed along the z-axis. A current of 5 A flows through a straight wire of length 0.5 m, placed in the x-y plane. If the wire is perp\endicular to the magnetic field, what is the magnitude of the force exerted on the wire?

A. 0.25 N

B. 0.5 N

Correct C. 1 N

D. 2 N

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 5 V is applied across the plates, what is the charge stored on each plate?

A. 50 μC

Correct B. 100 μC

C. 200 μC

D. 500 μC

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

A current of 2 A flows through a resistor of 10 Ω. What is the power dissipated in the resistor?

Correct A. 20 W

B. 40 W

C. 60 W

D. 80 W

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

A gas at 300 K has a volume of 2 L. If the temperature is increased to 400 K, what is the new volume of the gas?

A. 2.67 L

Correct B. 3.33 L

C. 4 L

D. 5 L

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

A body of mass 5 kg is moving with a velocity of 10 m/s. What is its kinetic energy?

A. 250 J

Correct B. 500 J

C. 750 J

D. 1000 J

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

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 force acting on the particle?

A. 8 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

A 2 kg block 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. What is the maximum speed of the block?

A. 0.5 m/s

B. 1 m/s

Correct C. 1.5 m/s

D. 2 m/s

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

A car travels from rest to a speed of 25 m/s in 10 s. What is the average acceleration of the car?

A. 2.5 m/s^2

Correct B. 5 m/s^2

C. 10 m/s^2

D. 15 m/s^2

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

A 100 W light bulb is connected to a 220 V power source. What is the current drawn by the bulb?

A. 0.45 A

Correct B. 0.5 A

C. 0.55 A

D. 0.6 A

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support