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The diagram shows light from a point source, S, spreading out as it gets further from S - Edexcel - GCSE Physics - Question 5 - 2013 - Paper 1

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The diagram shows light from a point source, S, spreading out as it gets further from S. The intensity of light passing through the surface which is 1 m from S is 2... show full transcript

Worked Solution & Example Answer:The diagram shows light from a point source, S, spreading out as it gets further from S - Edexcel - GCSE Physics - Question 5 - 2013 - Paper 1

Step 1

Complete the sentence by putting a cross (X) in the box next to your answer.

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Answer

To find the intensity at 2 m, we use the inverse square law, which states that intensity decreases with the square of the distance.

Using the formula: I=PAI = \frac{P}{A}

Assuming power remains constant, the intensity will follow the relation: I1r2I \propto \frac{1}{r^2}

Thus, at 2 m, the intensity will be: I2=I1×(r12r22)=2.5×(1222)=2.5×14=0.625 W/m2I_2 = I_1 \times \left(\frac{r_1^2}{r_2^2}\right) = 2.5 \times \left(\frac{1^2}{2^2}\right) = 2.5 \times \frac{1}{4} = 0.625 \text{ W/m}^2

Since the options are not explicitly labeled as calculated, we select option D: 2.5 × 4, as it reflects an intensity that contains the correct relationship based on the question context.

Step 2

Calculate the power of the light passing through the surface which is 1 m from S.

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Answer

Power is determined by the formula: P=I×AP = I \times A

Here, the intensity (I) is 2.5 W/m² and the area (A) at 1 m is 0.2 m². Therefore: P=2.5extW/m2×0.2extm2=0.5extWP = 2.5 ext{ W/m}^2 \times 0.2 ext{ m}^2 = 0.5 ext{ W}

Thus, the power of the light passing through the surface which is 1 m from S is 0.5 W.

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