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Which of the following is a scalar quantity?
Correct answer: Option C — Speed
A scalar quantity has magnitude only, no direction. Speed is scalar; velocity, force and acceleration are vectors.
Which of the following correctly states Ohm's Law?
Correct answer: Option B — \(V = IR\)
Ohm's Law states that voltage is directly proportional to current: \(V = IR\), where V = voltage, I = current, R = resistance.
What type of energy does a body possess due to its motion?
Correct answer: Option C — Kinetic energy
A body in motion possesses kinetic energy, given by \(KE = \frac{1}{2}mv^2\).
A car of mass \(1200 \, \text{kg}\) moving with a velocity of \(20 \, \text{m/s}\) is brought to rest in \(5 \, \text{s}\) by a constant braking force. Calculate the magnitude of the braking force.
Correct answer: Option A — \( 4800 \, \text{N} \)
First, find the acceleration (or deceleration in this case):
$$ v = u + at $$
$$ 0 = 20 + a(5) $$
$$ 5a = -20 \implies a = -4 \, \text{m/s}^2 $$
Now, use Newton's second law to find the force:
$$ F = ma $$
$$ F = 1200 \times (-4) = -4800 \, \text{N} $$
The magnitude of the braking force is 4800 N.
What happens to the pressure of a fixed mass of gas if its volume is halved at constant temperature?
Correct answer: Option A — It doubles
By Boyle's Law: \(P1V1 = P2V2\). If volume is halved, pressure doubles.
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