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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 determine the intensity of light at 2 m from the source, we can use the inverse square law for intensity, which states that intensity is inversely proportional to the square of the distance from the source:

Iimesr2=extconstantI imes r^2 = ext{constant}

Given that the intensity at 1m is 2.5 W/m², at 2m:

I_2 = rac{I_1 imes r_1^2}{r_2^2} = rac{2.5 imes (1)^2}{(2)^2} = rac{2.5}{4} = 0.625 ext{ W/m²}

Thus, the correct answer would be D (2.5 × 4) equals the constant intensity at that distance.

Step 2

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

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Answer

Power can be calculated using the formula:

P=IimesAP = I imes A

Given:

  • Intensity (I) = 2.5 W/m²
  • Area (A) = 0.2 m²

Calculating the power:

P=2.5imes0.2=0.5extWP = 2.5 imes 0.2 = 0.5 ext{ W}

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

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