theeta =1/2,number of images formed=????
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Answers
Answer:
The no of images obtained when 2 plane mirrors are at an angle of x degrees to one another is given by (360/x) - 1.
When x = theta degrees, no of images obtained = (360/theta) - 1 = a
When x = (theta - 30) degrees, no of images obtained = (360/(theta - 30)) - 1 = a + 2
(360/(theta - 30)) - 1 = (360/theta) - 1 + 2
(360/(theta - 30)) = (360/theta) + 2
360(theta) = 360(theta - 30) + 2(theta)(theta - 30)
360theta = 360theta -360(30) + 2(theta)^2 - 60theta
2(theta)^2 - 60(theta) - (30 x 360)
theta^2 - 30theta - 5 400 = 0
(theta - 90)(theta + 60) = 0
theta = 90 degrees or -60 degrees(N.A.)
When x = theta degrees, no of images obtained = (360/theta) - 1 = a
When theta = 90 degrees, no of images obtained = (360/90) - 1 = 3
When theta = (90 - 30) degrees = 60 degrees, no of images obtained = (360/60) - 1 = 6 - 1 = 5
Plane mirrors form images with the following characteristics:
Same size as the object ie magnification = 1
Left-right reversal ie lateral inversion
The same distance from/behind the mirror as the object’s distance in front of/from the mirror
Upright
Answer:
719
Step-by-step explanation:
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