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POST UTME OSUSTECH 2017 Physics | Objective

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Question 1

A gas is enclosed in a container at a temperature of 300 K. The pressure of the gas is 1.5 atm. If the temperature is increased to 400 K, what is the new pressure of the gas?

Correct A. 2.0 atm

B. 1.5 atm

C. 3.0 atm

D. 4.0 atm

Correct Answer: A

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Question 2

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's speed is 4 m/s, what is the magnitude of the centripetal acceleration?

A. 4 m/s^2

Correct B. 6 m/s^2

C. 8 m/s^2

D. 10 m/s^2

Correct Answer: B

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Question 3

A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave?

A. 100 m/s

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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Question 4

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 2 days, what is the activity of the sample after 4 days?

A. 50 Bq

B. 25 Bq

Correct C. 12.5 Bq

D. 6.25 Bq

Correct Answer: C

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Question 5

A projectile is launched at an angle of 60° above the horizontal with an initial velocity of 20 m/s. If the air resis\tance is negligible, what is the maximum height reached by the projectile?

A. 10 m

Correct B. 15 m

C. 20 m

D. 25 m

Correct Answer: B

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Question 6

A 50 Hz, 200 V AC supply is connected to a 100 Ω resistor. If the current is 2 A, what is the power factor of the circuit?

Correct A. 0.5

B. 0.7

C. 0.8

D. 0.9

Correct Answer: A

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Question 7

A particle of mass 0.5 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, what is its angular frequency?

A. 1.0 rad/s

B. 2.0 rad/s

Correct C. 5.0 rad/s

D. 10.0 rad/s

Correct Answer: C

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Question 8

A beam 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°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

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Question 9

A 100 W bulb is connected to a 200 V AC supply. If the power factor is 0.8, what is the current drawn by the bulb?

A. 0.5 A

Correct B. 1.0 A

C. 2.0 A

D. 5.0 A

Correct Answer: B

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Question 10

A particle of mass 0.2 kg is moving in a circular path with a radius of 0.5 m. If the particle has a speed of 2 m/s, what is its centripetal acceleration?

A. 1.0 m/s^2

B. 2.0 m/s^2

Correct C. 5.0 m/s^2

D. 10.0 m/s^2

Correct Answer: C

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Question 11

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.

A. 0.02 F

Correct B. 0.04 F

C. 0.06 F

D. 0.08 F

Correct Answer: B

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Question 12

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is its speed?

A. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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Question 13

A gas expands from 0.1 m^3 to 0.5 m^3 at a cons\tant temperature. What is the work done?

A. 0.2 J

B. 0.4 J

Correct C. 0.6 J

D. 0.8 J

Correct Answer: C

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Question 14

A 2 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position, what is the force exerted by the spring?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 15

A capacitor is connected to a 12 V battery. If the capaci\tance is 0.02 F, what is the charge stored?

A. 0.2 C

B. 0.4 C

Correct C. 0.6 C

D. 0.8 C

Correct Answer: C

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Question 16

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 experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on it?

A. 6 N

B. 8 N

Correct C. 10 N

D. 12 N

Correct Answer: C

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Question 17

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the group velocity?

Correct A. Positive x-direction

B. Negative x-direction

C. No change in direction

D. Dep\ends on the amplitude

Correct Answer: A

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Question 18

A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 19

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. If 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. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 20

A gas is compressed adiabatically from an initial volume of 2 m^3 to a final volume of 1 m^3. If the initial temperature is 300 K, what is the final temperature?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 21

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 $F_{c,new}$?

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

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Question 22

A circuit consists of a resistor $R_1$ and an inductor $L$ connected in series. The circuit is driven by a voltage source $V(t) = V_0 \sin omega t$. The impedance $Z$ of the circuit is given by $Z = \sqrt{R_1^2 + (L omega)^2}$. If the resis\tance $R_1$ is doubled to $2R_1$, what is the new impedance $Z_{new}$?

Correct A. \sqrt{$ 2R_1 $^2 + (L omega)^2}

B. \sqrt{R_1^2 + (L omega)^2}

C. \sqrt{$ 2R_1 $^2 + (2L omega)^2}

D. \sqrt{R_1^2 + (2L omega)^2}

Correct Answer: A

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Question 23

A gas is contained in a cylinder of volume $V$ with a movable piston. The gas is heated, cau\sing its temperature to increase from $T_1$ to $T_2$. The pressure of the gas is given by $P = \frac{nRT}{V}$, where $n$ is the number of moles of gas and $R$ is the gas cons\tant. If the volume of the cylinder is doubled to $2V$, what is the new pressure $P_{new}$?

A. \frac{nRT_2}{2V}

Correct B. \frac{nRT_2}{V}

C. \frac{nRT_2}{4V}

D. \frac{nRT_2}{8V}

Correct Answer: B

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Question 24

A charged particle of mass $m$ and charge $q$ is moving in a magnetic field $B$ with a velocity $v$. The particle experiences a force $F$ given by $F = qvB$. If the magnetic field is doubled to $2B$, what is the new force $F_{new}$?

Correct A. 2qvB

B. qvB

C. \frac{1}{2}qvB

D. \frac{1}{4}qvB

Correct Answer: A

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Question 25

A projectile is launched from the ground with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. The projectile's range $R$ is given by $R = \frac{v_0^2 \sin 2\theta}{g}$. If the initial velocity is doubled to $2v_0$, what is the new range $R_{new}$?

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

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

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

D. \frac{v_0^2 \sin 2\theta}{4g}

Correct Answer: A

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