A student investigates the position of the image in a plane mirror.
Fig. 3.1 shows the ray-trace sheet he uses.
(a)
• The student draws the line MR.
• He draws a normal NL to this line that passes through the centre of MR.
• He labels the point at which NL crosses MR with the letter B.
• He draws a line from B at an angle of incidence i = 30° to the normal below MR and to
the left of the normal. He labels the end of this line A.
• He places a pin P1 on line AB, as shown in Fig. 3.1. He places another pin P2 on the
line AB.
• He places the reflecting face of the mirror vertically on the line MR.
• He views the images of pins P1 and P2 from the direction indicated by the eye in Fig. 3.1.
(i) On Fig. 3.1, mark with a cross a suitable position for pin P2 in this experiment. [1]
• He places two pins P3 and P4 some distance apart so that pin P3 and the images of
P2 and P1 all appear exactly behind pin P4. The positions of P3 and P4 are shown on
Fig. 3.1.
(ii) Draw the line joining the positions of P3 and P4. Continue the line until it extends at least
7.0cm beyond MR.
(b)
• The student keeps pin P1 in the same position but moves pin P2 so that the angle of
incidence i = 40°.
• The pin positions P5 and P6 for the reflected ray are marked on Fig. 3.1.
(i) Draw the line joining the positions of P5 and P6. Continue the line until it extends at least
7.0cm beyond MR.
Label with the letter Y the point where the two lines cross beyond MR. [1]
(ii) Draw a line from P1 to MR that meets MR at a right angle. Measure and record the
length a of this line.
(iii) Draw a line from the point labelled Y to MR that meets MR at a right angle. Measure and
record the length b of this line.
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