Explanation Given: The correct exposure of the camera is f / 4 , the speed of the shutter is 1 15 s , f numbers of the camera are f / 1 , f / 1.4 and f / 2 , and the increased shutter speed of the camera is 1 125 s . Write the equation for intensity of light. I = P A P = I A Here, I is the intensity of light. P is the power. A is the area at which the light falls. Write the equation for power. P = E Δ t Here, E is the energy of the light. Δ t is the time. Substitute I A for P in above equation to find E . I A = E Δ t E = I A ( Δ t ) Write the equation for area of the shutter. A = π 4 d 2 Here, d is the diameter of the shutter. Substitute π 4 d 2 for A in above equation to find E . E = I ( π 4 d 2 ) ( Δ t ) The energy of the light received is equal to the energy of the light on the film. I 1 ( π 4 d 1 2 ) ( Δ t 1 ) = I 2 ( π 4 d 2 2 ) ( Δ t 2 ) I 1 d 1 2 Δ t 1 = I 2 d 2 2 Δ t 2 The intensity of the light received I 1 is same as the intensity of the light on the film I 2

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ISBN: 9780100460300

Author: SERWAY

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Chapter 36, Problem 36.56P

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The new f number

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The new f number

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