If 10 objects, tinsels are placed between the mirror of a Kaleidoscope with an inclination of 30º, how many images are formed?
A
110
B
181
C
142
D
210
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
In a kaleidoscope (two plane mirrors inclined at an angle ( \theta )):
\(\text{Number of images of one object} = \frac{360^\circ}{\theta} - 1\)
Given: \(\theta = 30^\circ\)
\(\frac{360}{30}\) = 12
So, images formed by one object: 12 - 1 = 11
For 10 objects (tinsels):
10 x 11 = 110 images formed.
Source: WAEC / JAMB / NECO Classroom Archive (Record #74564)