POST UTME NOUN 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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. Positive x-direction
B. Negative x-direction
C. Positive y-direction
D. Negative y-direction
Question 2
A parallel plate capacitor consists of two plates separated by a dis\tance of 2 mm. The capaci\tance of the capacitor is 10 μF. If a potential difference of 100 V is applied across the plates, calculate the charge stored on the capacitor.
A. 20 μC
B. 40 μC
C. 60 μC
D. 80 μC
Question 3
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, calculate the current flowing through the circuit.
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1 A
Question 4
A \sinusoidal voltage source has a peak value of 100 V and a frequency of 50 Hz. Calculate the root mean square (RMS) value of the voltage.
A. 70.71 V
B. 50 V
C. 100 V
D. 141.42 V
Question 5
A projectile is launched at an angle of 45° with an initial velocity of 20 m/s. Calculate the time of flight.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 6
A simple harmonic oscillator has a frequency $f$ and an amplitude $A$. If the oscillator is displaced from its equilibrium position by a dis\tance $x$, what is the potential energy of the oscillator?
A. \( \frac{1}{2}momega^2x^2 \)
B. \( \frac{1}{2}momega^2A^2 \)
C. \( \frac{1}{2}momega^2\( A^2 - x^2 \ \) )
D. \( \frac{1}{2}momega^2\( A^2 + x^2 \ \) )
Question 7
A ray of light passes from air into a glass slab at an angle of incidence of 30°. If the re\fractive index of the glass is 1.5, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 8
A convex lens with a focal length of 20 cm is used to form an image of an object at a dis\tance of 30 cm. What is the magnification of the image?
A. 0.5
B. 1.0
C. 1.5
D. 2.0
Question 9
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?
A. \( \frac{mv^2}{r} \)
B. \( \frac{mv}{r} \)
C. \( \frac{mvr}{B} \)
D. \( \frac{B^2r^2}{m} \)
Question 10
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 $F_c = \frac{mv^2}{r}$. What is the angular momentum of the particle?
A. mvr
B. \frac{mv^2}{r}
C. \frac{v^2}{r}
D. \frac{mv^2}{r^2}
Question 11
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The circuit is driven by a voltage source $V$. What is the impedance of the circuit?
A. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. \sqrt{R^2 + \( \omega L + \frac{1}{\omega C} \)^2}
C. \sqrt{R^2 - \( \omega L - \frac{1}{\omega C} \)^2}
D. \sqrt{R^2 - \( \omega L + \frac{1}{\omega C} \)^2}
Question 12
A gas at 300 K is heated to 400 K. If the initial volume is 2.5 L, what is the final volume if the gas is ideal?
A. 5.0 L
B. 6.25 L
C. 7.5 L
D. 8.0 L
Question 13
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?
A. \( \frac{mv^2}{r} \)
B. \( \frac{mv}{r} \)
C. \( \frac{mvr}{B} \)
D. \( \frac{B^2r^2}{m} \)
Question 14
A sound wave with a frequency of 200 Hz has a speed of 340 m/s. What is the wavelength of the sound wave?
A. 1.7 m
B. 1.8 m
C. 1.9 m
D. 2.0 m
Question 15
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)). What is the expectation value of the position of the particle?
A. \frac{L}{2}
B. \frac{n\pi L}{2}
C. \frac{L}{n\pi}
D. \frac{2L}{n^2\pi^2}

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