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ICSE Physics

Question
ICSEENIPH10005869
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i)
Draw a labelled ray diagram to illustrate (1) critical angle (2) total internal reflection, for a ray of light moving from one medium to another.

ii)
Write a formula to express the relationship between refractive index of the denser medium with respect to rarer medium and its critical angle for that pair of media.

Solution

i)

ii) Refractive index of air with respect to glass is:
straight mu presubscript straight a subscript straight g space equals space fraction numerator 1 over denominator straight mu presubscript straight g subscript straight a end fraction
straight mu presubscript straight a subscript straight g equals space fraction numerator 1 over denominator sinθ c end fraction c o s e c italic space i subscript c italic space end subscript straight mu presubscript g subscript a equals sinθ i subscript c

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Question
ICSEENIPH10005870
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Draw a ray diagram to illustrate the determination of the focal length of a convex lens using an auxiliary plane mirror.

Solution

The ray diagram to illustrate the determination of the focal length of a convex lens using an auxiliary plane mirror is as shown below: 
                                     

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Question
ICSEENIPH10005871
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A linear object is placed on the axis of a lens. An image is formed by formed by refraction in the lens. For all the positions of the object on the axis of the lens, the positions of the image are always between the lens and the object.

i) Name the lens

ii) Draw a ray diagram to show the formation of the image of an object placed in front of the lens at any position of your choice except infinity.

Solution

i) Concave lens
ii) When the object is placed in front of the lens at any position of your choice. 
AB = object
A'B' = Image formed

Question
ICSEENIPH10005872
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i)
The diagram alongside shows a ray of light incident on an equilateral glass prism placed in minimum deviation position.
Copy the diagram and complete it to show the path of the refracted ray and the emergent ray.

ii) How are angle of incidence and angle of emergences related to each other in this position of the prism?

Solution

i) For the minimum deviation:
straight I equals space straight e comma space straight r subscript 1 space equals space straight r subscript 2 comma space straight delta equals space straight delta subscript straight m space end subscript
 

ii) Angle of incidence (i) = Angle of emergent (e)

Question
ICSEENIPH10005873
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A radar sends a signal to an aeroplane at a distance of 45 km away with a speed of 3 x 108 m/s. After how long is the signal received back from the aeroplane?

Solution

We know that,
straight t space equals fraction numerator 2 d over denominator v end fraction Here comma space straight d space equals space 45 space km space equals space 45 space cross times 1000 space comma straight v equals 3 space cross times 10 to the power of 8 space straight m divided by straight s Therefore comma space straight t space equals space fraction numerator 2 space cross times 45 space cross times 1000 over denominator 3 space cross times 10 to the power of 8 end fraction space space space equals space 90 over 3 space cross times 10 space to the power of negative 5 end exponent italic space italic space italic space italic equals italic space italic 3 italic space cross times 10 to the power of italic minus italic 4 end exponent space s e c

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