A student wants to project the image of a candle flame on a screen 48 cm in front of a mirror by keeping the flame at a distance of 12 cm from the pole of the mirror.(a) Suggest the type of mirror he should use.(b) Find the linear magnification of the image produced.(c ) How far is the image from the object ? (d) Find the focal length of the mirror.(e ) Draw a ray diagram to show the image formation in this case.

A student wants to project the image of a candle flame on a screen 48

1.	A student wants to project the image of a candle flame on a screen 48 cm in front of a mirror by keeping the flame at a distance of 12 cm from the pole of the mirror.(a) Suggest the type of mirror he should use.(b) Find the linear magnification of the image produced.(c ) How far is the image from the object ? (d) Find the focal length of the mirror.(e ) Draw a ray diagram to show the image formation in this case.
Answer» SOLUTION :(a) Concave mirror as only concave mirror can produce real IMAGES. (b) `u=-12 cm "" v=-48 cm` `m=-(v)/(u)` Linear magnification `m=-((-48)/(-12))=-4` The minus indicates that the image is diminished and real and inverted image. (c ) Distance of the candle from the screen `= 48-12=36 cm` (d) `(1)/(v)+(1)/(u)=(1)/(f)` `(1)/((-48))+(1)/((-12))=(1)/(f), f=-(48)/(5)=-9.6 cm` This SHOWS that the OBJECT is placed between the C and F of the concave mirror. (e )