POST UTME IGBINEDION UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A magnetic field of magnitude $B_0$ is directed along the $z$-axis. A current $I$ flows in a circular loop of radius $r$ in the $xy$-plane. What is the magnetic field at the center of the loop?
A. \( \frac{mu_0 I}{2r} \)
B. \( \frac{mu_0 I}{4r} \)
C. \( \frac{mu_0 I}{6r} \)
D. \( \frac{mu_0 I}{8r} \)
Question 2
A 10 V battery is connected to a 2 kΩ resistor in series with a 4 kΩ resistor. Calculate the current in the circuit.
A. 0.50 mA
B. 1.0 mA
C. 2.0 mA
D. 4.0 mA
Question 3
A 0.50 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 0.10 m from its equilibrium position and released from rest. Calculate the frequency of the block.
A. 1.0 Hz
B. 2.0 Hz
C. 4.0 Hz
D. 8.0 Hz
Question 4
A capacitor consists of two parallel plates separated by a dis\tance of 2 mm. If the capaci\tance is 10 μF, what is the charge stored on the capacitor when a potential difference of 5 V is applied?
A. ( 50 ) μC
B. ( 100 ) μC
C. ( 150 ) μC
D. ( 200 ) μC
Question 5
A block of mass 2.0 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 0.10 m from its equilibrium position and released from rest. Calculate the maximum speed of the block.
A. 1.0 m/s
B. 2.0 m/s
C. 4.0 m/s
D. 8.0 m/s
Question 6
A particle of mass 2 kg is moving in a circular orbit of radius 3 m with a speed of 4 m/s. If the particle is subjected to a uniform magnetic field of 2 T, what is the magnitude of the magnetic force acting on the particle?
A. ( 8 pi ) N
B. ( 16 pi ) N
C. ( 24 pi ) N
D. ( 32 pi ) N
Question 7
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$, what is the magnitude of the particle's angular momentum $L$?
A. \frac{mv}{r}
B. \frac{mv^2}{r}
C. \frac{mv^3}{r}
D. \frac{mv^4}{r}
Question 8
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 particle velocity?
A. in the positive x-direction
B. in the negative x-direction
C. perp\endicular to the wave
D. in the positive y-direction
Question 9
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 nF, find the charge on the plates.
A. 160 nC
B. 320 nC
C. 640 nC
D. 1280 nC
Question 10
A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay, emitting a \beta particle of energy $E$. Determine the kinetic energy of the recoiling nucleus.
A. E
B. 2E
C. 3E
D. 4E
Question 11
A heat engine operates between two reservoirs at temperatures $T_1$ and $T_2$. The engine has an efficiency of $eta$. What is the ratio of the temperatures?
A. \( \frac{1}{eta} \)
B. ( eta )
C. \( \frac{eta}{1-eta} \)
D. \( \frac{1-eta}{eta} \)
Question 12
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 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 13
A uniform solid sphere of radius $R$ and mass $M$ is floating in a liquid of density $\rho$. The sphere is partially submerged in the liquid, with the volume of the submerged part being $V$. The weight of the sphere is balanced by the buoyant force exerted by the liquid. If the density of the sphere is $sigma$, determine the depth of the center of the sphere below the surface of the liquid.
A. R
B. 2R
C. 3R
D. 4R
Question 14
A magnetic field of magnitude 0.50 T is directed perp\endicular to a plane containing a current of 2.0 A. Calculate the force on a straight wire of length 1.0 m and mass 0.10 kg.
A. 0.10 N
B. 0.20 N
C. 0.50 N
D. 1.0 N
Question 15
A car travels from point A to point B with a cons\tant acceleration $a$. If the car's initial velocity is $v_i$ and its final velocity is $v_f$, what is the time $t$ it takes for the car to travel from point A to point B?
A. \frac{v_f + v_i}{a}
B. \frac{v_f - v_i}{a}
C. \frac{v_f^2 - v_i^2}{a}
D. \frac{v_f^2 + v_i^2}{a}

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