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 10 m. Calculate the speed of the wave.
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 2
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 3
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 20 m
C. 30 m
D. 40 m
Question 4
A nucleus of mass number 240 has a neutron-to-proton ratio of 1.5. What is the number of neutrons in the nucleus?
A. 120
B. 150
C. 180
D. 200
Question 5
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 6
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 7
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 8
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 9
A ray of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, what is the angle of deviation?
A. 10°
B. 20°
C. 30°
D. 40°
Question 10
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 11
A wave of wavelength $\lambda$ and frequency $f$ is incident on a double-slit apparatus. The slits are separated by a dis\tance $d$. If the wavelength is doubled, what is the new fringe width $\beta_{new}$?
A. \frac{2\lambda d}{D}
B. \frac{\lambda d}{D}
C. \frac{4\lambda d}{D}
D. \frac{\lambda (2d)}{D}
Question 12
A wave has a frequency of 100 Hz and a wavelength of 0.1 m. If the wave is traveling in the positive x-direction, what is the direction of the wave number?
A. Positive x-direction
B. Negative x-direction
C. Positive y-direction
D. Negative y-direction
Question 13
A coil of wire is placed in a magnetic field of strength $B$. The coil has $N$ turns and a cross-sectional area $A$. What is the magnetic flux through the coil?
A. NAB\cos\( \theta \)
B. NAB\sin\( \theta \)
C. NAB\cos\( \theta \)
D. NAB\sin\( \theta \)
Question 14
A radioactive sample has a half-life of $T_{1/2}$. If the initial activity of the sample is $A_0$, what is the activity of the sample after a time $t$?
A. \( A_0 left\( \frac{1}{2} \right \ \)^{t/T_{1/2}} )
B. \( A_0 left\( \frac{1}{2} \right \ \)^{T_{1/2}/t} )
C. \( A_0 left\( 1 - \frac{t}{T_{1/2}} \right \ \) )
D. \( A_0 left\( 1 + \frac{t}{T_{1/2}} \right \ \) )
Question 15
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

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