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iGCSE Physics (0625) 1.7.4 Power-Exam Style Questions- New Syllabus

Question

The diagram shows the equipment used in an experiment to determine the specific heat capacity of a metal.
In the experiment, a heater is switched on for $t$ s and the increase in temperature $\Delta \theta$ of a block of the metal is measured in °C.
Which equation gives the specific heat capacity of the metal?
A. $c = \frac{P}{tm\Delta \theta}$
B. $c = \frac{Pt}{m\Delta \theta}$
C. $c = \frac{tm\Delta \theta}{P}$
D. $c = \frac{m\Delta \theta}{Pt}$
▶️ Answer/Explanation
Correct Option: B

Detailed solution:

The energy transferred by the heater is given by $\Delta E = P \times t$, where $P$ is power and $t$ is time.
Specific heat capacity $c$ is defined by the thermal energy equation $\Delta E = mc\Delta \theta$.
By substituting the expression for energy, we get $Pt = mc\Delta \theta$.
Rearranging this formula to make $c$ the subject gives $c = \frac{Pt}{m\Delta \theta}$.
This matches the expression provided in Option B.

Questions

The table gives four energy resources and states whether the main source of energy for the resource is the Sun. Which row is correct?

▶️Answer/Explanation

Ans C

Question

 A car is moving along a straight horizontal road. The car has $1.6 \mathrm{MJ}$ of kinetic energy. The car accelerates for $20 \mathrm{~s}$ until the kinetic energy of the car increases to $2.5 \mathrm{MJ}$.
What is the minimum average power developed by the car engine for this acceleration?
A $45 \mathrm{~W}$
B $205 \mathrm{~W}$
C $45 \mathrm{~kW}$
D $205 \mathrm{~kW}$

Answer/Explanation

Ans:C

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