A large concave mirror has a radius of curvature of 1.5 m. A person stands 10 m in front of the mirror Where is the person's image .
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=> Radius of Curvature (R) = - 1.5 m(concave mirror)
=> Object distance (u) = -10 m [Object distance is negative in Concave mirror]
=> Image distance (v) = ?
=> f = R/2
=> Focal length (f) = -1.5/2
=> - 0.75 m
Mirror Formula
=> 1/v + 1/u = 1/f
=> 1/v = 1/f - 1/u
=> 1/v = 1/(-0.75) - 1/(-10)
=> 1/v = 1/(-0.75) + 1/10
=> 1/v= - 100/75 +1/10
=> 1/v = -4/3+ 1/10
=> 1/v= (-4×10+3)/30
=> 1/v= (-40+3)/30
=> 1/v = -37/30
=> v = -30/37
=> v = - 0.81 m
The person’s image will be 0.81 m in front of concave mirror.
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