Numericals · Q42
Q.A car uses a convex mirror of curvature 1.2 m as its rear-view mirror. A minibus of cross section 2.4 m × 2.4 m is 6.6 m away from the mirror. Estimate the image size.
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Start your 14-day free trial to unlock the full solution →R=1.2 m=120 cm, so f=R/2=+60 cm (convex mirror, positive by the sign convention). Object distance u=-6.6 m=-660 cm. Using 1/f=1/v+1/u: 1/60=1/v+1/(-660), so 1/v=1/60+1/660=(11+1)/660=12/660=1/55, giving v=+55 cm. Magnification m=-v/u=-55/(-660)=1/12. Since the minibus's cross-section is a 2.4 m x 2.4 m square, the image size in each dimension is 2.4 x (1/12) = 0.2 m, so the image is a …
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