POST UTME NOUN 2023 Physics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
A sound wave with a frequency of 200 Hz is emitted from a source moving towards a stationary observer. If the speed of sound in air is 343 m/s, calculate the apparent frequency heard by the observer.
Question 2
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the magnitude of the centripetal force?
Question 3
A 2.5 kg block of ice at 0°C is placed in a 10°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg·K) and the specific heat capacity of water is 4186 J/(kg·K), what is the time it takes for the ice to melt completely?
Question 4
A solid sphere of radius 5 cm is floating in a liquid of density 1.5 g/cm³. If the density of the sphere is 6 g/cm³, what is the depth of the sphere below the surface of the liquid?
Question 5
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\( \frac{npi x}{L}\right \)$, where $n$ is a positive integer. What is the expectation value of the position of the particle in the ground state \( $n=1$ \)?
Question 6
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the total resis\tance?
Question 7
A beam of light is incident on a mirror at an angle of 30°. What is the angle of reflection?
Question 8
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
Question 9
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?
Question 10
A parallel plate capacitor has a capaci\tance of $C$ and is charged to a potential difference of $V$. The plates are then separated by a dis\tance $d$. What is the energy stored in the capacitor?
Question 11
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 3 m, calculate the magnitude of the centripetal force acting on the particle.
Question 12
A 2 kg block of metal is heated from 20°C to 80°C. If the specific heat capacity of the metal is 400 J/kg°C, calculate the energy transferred to the block.
Question 13
A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 20 years?
Question 14
A particle of mass 3 kg is moving in a circular path of radius 2 m with a cons\tant speed of 6 m/s. If the particle is subjected to a centripetal force of 18 N, what is the magnitude of the acceleration of the particle?
Question 15
A lens of focal length 20 cm forms an image of an object at a dis\tance of 30 cm. What is the magnification of the lens?
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