Physics 2009 Objective — Question 1
Which of the following is a derived unit?
- A. Meter
- B. CoulombCorrect
- C. Kilogram
- D. Second
Explanation
The coulomb (charge=current×time) is derived; metre, kilogram, second, and ampere are all SI base units.
All 10 questions from the Post-UTME Screening (Post-UTME) Physics 2009 Objective paper, with the correct answer and a full explanation for each. Free, no signup needed.
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Which of the following is a derived unit?
The coulomb (charge=current×time) is derived; metre, kilogram, second, and ampere are all SI base units.
A bat emits its sound at a speed of 1650m/s (as given in the source) and receives the echoes 0.15s later. Calculate the distance of the bat from the reflector.
Distance = speed × time / 2 = 1650 × 0.15 / 2 ≈ 123.75m.
Two identical waves travelling in the same direction are superimposed. What should be the phase difference between the waves for maximum destructive interference to occur?
Standard physics gives 180° (option C) for complete destructive interference between two identical waves; the source key marks 225° (option D), which appears to be an error.
The odour of a leaking gas is perceived at a distance from the source by the process of
Gas molecules spreading through the air to reach your nose is diffusion.
A train has an initial velocity of 44m/s and an acceleration of -4m/s². Its velocity after 10s is
v=u+at=44+(-4)(10)=4m/s. (The source key's lettering for this item did not match its own shown working; the calculation clearly gives 4m/s.)
A simple pendulum with a period of 2.0s has its length doubled. Its new period is
T∝√L, so doubling L multiplies T by √2: 2.0×√2≈2.83s.
An object is projected with a velocity of 100ms⁻¹ from the ground level at an angle to the vertical. Total time of flight of the projectile is 10s, calculate the angle (g=10ms⁻²)
T=2u cosθ/g (θ from vertical) gives 10=2(100)cosθ/10, so cosθ=0.5, θ=60°.
A gas has a volume of 546cm³ at 0°C. What is the volume of the gas at 100°C if its pressure remains constant?
By Charles's Law: V2=V1×(T2/T1)=546×(373/273)≈746cm³.
In electrolysis experiments a cathode of mass 5g is found to weigh 5.01g after a current of 5A flows for 50 seconds. What is the electrochemical equivalent of the deposited substance?
Z=mass deposited/(I×t)=0.01/(5×50)=0.00004g/C.
A magnetic needle is suspended first at earth's north magnetic pole and then at a point on the magnetic equator. The respective angles between the needle and the horizontal are
At the magnetic pole the needle points straight down (90° from horizontal); at the magnetic equator it lies horizontal (0°). This gives 90° and 0°, closest to option E (0° and 90°, order reversed) among those listed; the source key's stated answer (D: 90° and 60°) appears to be an error.
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