POST UTME KSU 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 100 W light bulb is connected to a 230 V power source. What is the current drawn by the bulb?
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 2
A quantum particle has a wave function given by \Psi(x) = Ae^{ikx}. What is the momentum of the particle?
A. 1 kg m/s
B. 2 kg m/s
C. 3 kg m/s
D. 4 kg m/s
Question 3
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by \( psi_0\( x \ \) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)). What is the expectation value of the position operator for this state?
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{L}{\pi}
Question 4
A 100 V AC supply is connected to a 20 Ω resistor. If the frequency of the supply is 50 Hz, what is the rms value of the current flowing through the resistor?
A. 2.5 A
B. 5 A
C. 7.5 A
D. 10 A
Question 5
A beam of light 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°
B. 25°
C. 30°
D. 35°
Question 6
A 2 kg block is moving with a velocity of 5 m/s on a horizontal surface. If the coefficient of kinetic friction between the block and the surface is 0.2, what is the force of friction acting on the block?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 7
A 10 μF capacitor is connected in series with a 20 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the circuit?
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 8
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 force of 12 N, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 9
A 100 W light bulb is connected to a 120 V AC source. What is the current drawn by the light bulb?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 10
A parallel plate capacitor has a capaci\tance of 5 μF. If a potential difference of 10 V is applied across the plates, what is the magnitude of the electric field between the plates?
A. 10^4 N/C
B. 10^5 N/C
C. 10^6 N/C
D. 10^7 N/C
Question 11
A 100 V, 50 Hz AC source is connected to a 10 Ω resistor. What is the rms value of the current flowing through the resistor?
A. 2 A
B. 5 A
C. 10 A
D. 20 A
Question 12
A capacitor consists of two parallel plates of area $A$ and separation $d$. The plates are charged to a potential difference $V$. What is the capaci\tance of the capacitor?
A. \frac{\epsilon_0 A}{d}
B. \frac{\epsilon_0 d}{A}
C. \frac{A}{\epsilon_0 d}
D. \frac{d}{\epsilon_0 A}
Question 13
A ray of light passes from air into a glass of re\fractive index $n$. The angle of incidence is $\theta_i$. What is the angle of re\fraction?
A. \frac{n_1}{n_2} \theta_i
B. \frac{n_2}{n_1} \theta_i
C. \frac{\sin \theta_i}{n_2}
D. \frac{n_1 \sin \theta_i}{n_2}
Question 14
A container holds 2 moles of an ideal gas at a pressure of 2 atm. If the temperature is increased by 20 K, what is the new pressure?
A. 2.4 atm
B. 2.6 atm
C. 2.8 atm
D. 3 atm
Question 15
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. The particle experiences a centripetal force $F_c = \frac{mv^2}{r}$. What is the magnitude of the acceleration of the particle?
A. \frac{v^2}{r}
B. \frac{mv^2}{r}
C. \frac{m}{r}
D. \frac{v}{r}

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