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Answer:
ᴏᴋ
ɢᴜᴅ ᴇᴠᴇ
Explanation:
Given:-Rear view mirror i.e it is a convex mirrorRadius of curvature ( C ) = 3 mobject distance ( u ) = -5 m
To find:-image distance ( v )nature of imagesize of image
Formula:-
\implies⟹ \underline{\boxed{\sf \dfrac{1}{f} = \dfrac{1}{v} + \dfrac{1}{u}}}f1=v1+u1
\implies⟹ \underline{\boxed{\sf m = \dfrac{-v}{u}}}m=u−v
Solution:-
\implies⟹ \sf\dfrac{1}{3}31 = \sf\dfrac{1}{v}v1 + \sf\dfrac{1}{-5}−51
\implies⟹ \sf\dfrac{1}{v}v1 = \sf\dfrac{1}{3}31 + \sf\dfrac{1}{5}51
\implies⟹ \sf\dfrac{1}{v}v1 = \sf\dfrac{3+5}{15}153+5
\implies⟹ \sf\dfrac{1}{v}v1 = \sf\dfrac{8}{15}158
\implies⟹ \sf vv = \sf 1.251.25
Nature:- The positive sign of this image shows that it is Virtual and erect image.
Size of this image
\implies⟹ m = \sf\dfrac{-1.25}{-5}−5−1.25
\implies⟹ m = 0.25
hence, this image is smaller than the object
_________________________Additional information:-
Cases in Concave mirror -
\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin{array}{cccc}\sf \pink{Position_{\:(object)}} &\sf \purple{Position_{\:(image)}} &\sf \red{Size_{\:(image)}} &\sf \blue{Nature_{\:(image)}}\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf At \:Infinity &\sf At\: F&\sf Highly\:Diminished&\sf Real\:and\:Inverted\\\\\sf Beyond\:C &\sf Between\:F\:and\:C&\sf Diminished&\sf Real\:and\:Inverted\\\\\sf At\:C &\sf At\:C&\sf Same\:Size&\sf Real\:and\:Inverted\\\\\sf Between\:C\:and\:F&\sf Beyond\:C&\sf Enlarged&\sf Real\:and\;Inverted\\\\\sf At\:F&\sf At\:Infinity&\sf Highly\: Enlarged&\sf Real\:and\:Inverted\\\\\sf Between\:F\:and\:P&\sf \: Behind\:the\:mirror&\sf Enlarged&\sf \: Erect\:and\:Virtual\end{array}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}Position(object)AtInfinityBeyondCAtCBetweenCandFAtFBetweenFandPPosition(image)AtFBetweenFandCAtCBeyondCAtInfinityBehindthemirrorSize(image)HighlyDiminishedDiminishedSameSizeEnlargedHighlyEnlargedEnlargedNature(image)RealandInvertedRealandInvertedRealandInvertedRealandInvertedRealandInvertedErectandVirtual