(II) If you look at yourself in a shiny Christmas tree ball...

(II) If you look at yourself in a shiny Christmas tree ball with a diameter of 9.0 $\mathrm{cm}$ when your face is 30.0 $\mathrm{cm}$ away from it, where is your image? Is it real or virtual? Is it upright or inverted?

Transcript

00:01 Hello students in this question we are given that we look into a shiny christmas tree ball whose diameter diameter is equal to 9 .00 cm and our face is at a distance so the distance which is you is 30 centimeters so here the value of you is equal to 30 cm or in place of you we can write it as d0 which is a distance of the object from the shining surface or the reflecting surface.

00:50 This is given to us.

00:52 Now firstly we will find the focal length of the ball.

01:00 So for finding the focal length we know that the focal length is equal to much.

01:06 Minus 1 over 2 times of the radius which is the radius of the curvature so it will be minus half of radius is 9 over 2 centimeters so it will come out equals to minus 2 .25 centimeters so this is the focal length of the reflecting surface now for finding where our image is formed we will use a formula or the mirror formula which is 1 over which is the image distance is equal to 1 over focal length minus 1 over d not so from here we can write it as 1 over di is equal to 1 over f which is minus 2 .25 minus 1 over d not which is 30 centimeters so from here the image distance di i will come out to be minus 2 .093 centimeters.

02:13 Here minus sign means that the image is formed inside the reflecting ball at a distance of 2 .093 centimeter from the surface of reflection.

02:27 Now here in the next part we have to find the image is upright or inverted and if it is virtual or real.

02:39 So we will first find the magnification so the formula for the magnification is equal to minus d i over d not so it will come out equals to minus of minus 2 .093 over d not which is 30 so magnifications comes out to be 0 .0 698 so this is the magnification...

Question

(II) If you look at yourself in a shiny Christmas tree ball with a diameter of 9.0 $\mathrm{cm}$ when your face is 30.0 $\mathrm{cm}$ away from it, where is your image? Is it real or virtual? Is it upright or inverted?

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