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A converging mirror with a radius of 20cm creates a real image at 30cm from the mirror what is the objects distance

Answer»

\large \underline{  \red{\underline{ \sf Question}}} :  -  \\  \sf A \: converging \: mirror \: with \: a \: radius \: of \: 20cm \\ \sf creates \: a \: real \: image \: at \: 30cm \: from \: the \:  \\ \sf mirror \:  what \: is \: the \: <klux>OBJECT</klux> \: distance \: .

\large \underline{  \green{\underline{ \sf \: Answer  \:  }}} :  -  \\ \sf object \:  distance \:  is \:  1 5 <klux>CM</klux> \:

\large \underline{  \red{\underline{ \sf To \: Find  }}} \:  -  \\   \to \sf object \: distance \:

\large \underline{  \pink{\underline{ \sf Explanation   }}} \:  :  -  \\

Given that :

  • Image distance (v) = 30 cm

  • Object distance (u) = ?

Note :-

→ Focal length of a converging mirror is positive .

\large \underline{  \pink{\underline{ \sf Solution  }}} \: :  -  \\

we know that ,

\to \sf \frac{2}{R}  =  \frac{1}{v} +  \frac{1}{u}   \\   \\ \rm  putting \: the \: given \: values \:  \\  \\  \to \sf \frac{2}{20}  =  \frac{1}{30}  +  \frac{1}{u}  \\  \\  \to \sf  \frac{1}{u}  =  \frac{1}{10}  -  \frac{1}{30}  \\  \\  \to \sf  \frac{1}{u}  =  \frac{3- 1}{30}  \\  \\  \to \sf  \frac{1}{u}  =  \frac{2}{30}  \\  \\  \to \sf  \frac{1}{u}  =  \frac{1}{15}  \\  \\  \to \boxed{ \sf u = 15cm \: }

•°• object distance is 15 cm



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