Physics 2015 Objective — Question 1
Use the diagram above (an AC source, f=150Hz, connected to an inductor L=2H) to answer this question. From the diagram above, calculate the reactance of the inductor.
- A. 400 ohm
- B. 360 ohm
- C. 250 ohm
- D. A
All 20 questions from the Post-UTME Screening (Post-UTME) Physics 2015 Objective paper, with the correct answer and a full explanation for each. Free, no signup needed.
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Use the diagram above (an AC source, f=150Hz, connected to an inductor L=2H) to answer this question. From the diagram above, calculate the reactance of the inductor.
What happens when excited electrons in an atom return to lower energy levels?
When an excited electron falls to a lower energy level, it emits a photon carrying the energy difference.
A radioactive material has a half-life of 15 minutes. What fraction of the initial mass of the material will be left after one hour?
One hour = 60 minutes = 4 half-lives. Fraction remaining = (1/2)^4 = 1/16.
In an A.C circuit, the alternating current across a resistor is 5 sin 50 pi t. The root mean square value of the current is
Irms = Ipeak/sqrt(2) = 5/sqrt(2) = 5sqrt(2)/2 A.
The work function of a certain metal is 2.1 eV. Calculate the minimum energy required to remove an electron from the metal surface. [1eV = 1.6 x 10-19C]
Energy = 2.1 x 1.6x10^-19 = 3.36x10^-19J.
An instrument that uses colour change as a thermometric property for temperature measurement is called
A (optical) radiation pyrometer measures temperature using the colour/intensity of radiation emitted by a hot object.
The maximum strain which a steel wire can withstand is 3 x 10-6. Calculate the stress on the wire. [Young's modulus for steel = 1.8 x 10^11Nm-2]
Stress = strain x Young's modulus = 3x10^-6 x 1.8x10^11 = 5.4x10^5 Nm-2.
The force between the molecules of the same substance is
The force of attraction between molecules of the same substance is called cohesive force.
A quantity of liquid has a volume of 80cm3 at 15C. If its cubic expansivity is 10-3K-1, calculate its volume at 45C.
Change in volume = V x gamma x deltaT = 80 x 10^-3 x 30 = 2.4cm3. New volume = 80+2.4 = 82cm3.
20g of water at 2C is added to 35g of water at 65C. Calculate the final steady temperature of the mixture.
Heat balance: 20(Tf-2)=35(65-Tf). Solving gives Tf approximately 42.1C.
The instrument used for measuring the specific gravity of a liquid is
A hydrometer measures the specific gravity (relative density) of a liquid.
Convectional current is a consequence of the fact that
Convection currents arise because a fluid's density changes with temperature, causing warmer (less dense) fluid to rise and cooler (denser) fluid to sink.
A Pyrex glass can be used to boil water because it
Pyrex glass has a low coefficient of thermal expansion, making it resistant to cracking under rapid temperature changes.
The pressure of 760cm3 of gas initially at 120cmHg is changed at constant temperature to 76cm Hg. What is its new volume?
By Boyle's law, P1V1=P2V2: 120x760=76xV2, giving V2=1200cm3.
The dimensions of a rectangular glass block are 4cm by 10cm by 16cm. Calculate the ratio of the maximum pressure to the minimum pressure which the block can exert when placed on a horizontal surface.
Max pressure occurs with the smallest face down (4x10=40cm2); min pressure with the largest face down (10x16=160cm2). Ratio = 160/40 = 4:1.
When a liquid in a container is evaporating, the temperature of the bulk liquid
Evaporation removes the most energetic molecules, lowering the average kinetic energy (and thus temperature) of the remaining liquid.
The upper and lower fixed points on a certain thermometer are marked 155 and -5 respectively. Which mark on the thermometer corresponds to 80C?
Reading = lower + (80/100) x (upper - lower) = -5 + 0.8x160 = -5+128 = 123.0.
Sounds produced by bats are of
Bats produce and detect very high (ultrasonic) frequency sounds for echolocation.
An object is placed 20 cm in front of a plane mirror. If the mirror is moved 5 cm towards the object, what is the distance between the image and the object?
New object distance = 20-5=15cm, so image distance (behind mirror) is also 15cm. Total distance between image and object = 15+15 = 30cm.
If the diagram of the motion of a wave is at right angles to the direction of particle vibration, the wave is
A wave whose direction of travel is at right angles to the direction of particle vibration is, by definition, a transverse wave.
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