Physics, asked by shineymoljohnson, 4 months ago

The radius of curvature of a concave mirror is 50cm where should an object be placed from the mirror so as to form its image at infinity

Answers

Answered by Clαrissα
26

Given :

  • The radius ( \pmb{R}) of curvature of a concave mirror is 50 cm.

To Find :

  • We need to find, where the object should be placed from the mirror, so as to form its image at infinity.

Calculation :

 \bullet In this question, we have to calculate the focus where the object should be placed from the mirror, so as to form its image at infinity.

In order to calculate the focus, we'll be using this formulae :-

 \star \large{ \boxed{ \red{\pmb{F \:  = \:   \dfrac{R}{2}}}}}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Here,

  • F = Focus
  • R = Radius

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

So, let's put the values in the equation :-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

 :  \: \Longrightarrow \bf Focus  =   \dfrac{Radius}{ 2}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Where,

  • Radius =  \bf \: 50 \: cm

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

 :  \: \Longrightarrow \bf Focus  =   \dfrac{50}{ 2}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

 :  \: \Longrightarrow \bf Focus  =   \cancel\dfrac{50}{ 2}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

 :  \: \Longrightarrow  \boxed{\pmb{ \purple{ Focus  = \bf{25 \: cm}}}}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

 \therefore Hence, the object was placed at the focus and with 25 cm from the mirror, so as to form its image at infinity.

Answered by MissSparks
0

And when the object is kept at the focus the image is formed at infinity and the nature of image is real and inverted. So, to form a image at infinity the object should be kept at focus that is 25 cm.

Similar questions