Numericals · Q40
Q.Estimate the number of images produced if a tiny object is kept in between two plane mirrors inclined at 35°, 36°, 40° and 45°.
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For theta=35 degrees: n=360/35=10.29 (non-integer), so N equals its integer part, 10. For theta=36 degrees: n=360/36=10 (even integer), so N=n-1=9, regardless of object position. For theta=40 degrees: n=360/40=9 (odd integer), so N=n-1=8 if the object sits on the bisector, or N=n=9 if it is off the bisector -- both '8 or 9' are valid, since object position is not specified. For theta=45 degrees: n=360/45=8 (even integer), so N=n-1=7. Collecting all four results in order: 10, 9, 9 or 8, 7. [!ANSWER] N = 10, 9, 9 or 8, 7 (for theta = 35, 36, 40, 45 degrees respectively)
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