To determine the angle needed between two plane mirrors to create three images of a single object, we can use the formula related to the number of images formed:
Formula for Number of Images
The number of images (N) formed by two mirrors at an angle (θ) is given by:
N = (360° / θ) - 1
Calculating for Three Images
We want to find the angle that results in three images:
3 = (360° / θ) - 1
Rearranging gives:
4 = 360° / θ
Thus, we find:
θ = 360° / 4 = 90°
Correct Answer
The angle between the two mirrors should be 90° to obtain three images of the object. Therefore, the correct option is: