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Please show steps clearly i trird many time and i ahve no clue what were my mist

ID: 1657373 • Letter: P

Question

Please show steps clearly i trird many time and i ahve no clue what were my mistakes

A spherical mirror is to be used to form an image 4.00 times the size of an object on a screen located 5.20 m from the object. (a) Is the mirror required concave or convex? concave convex (b) What is the required radius of curvature of the mirror? 2.1666 Your response differs from the correct answer by more than 10%. Double check your calculations. m (c) Where should the mirror be positioned relative to the object? 2.6 Your response differs from the correct answer by more than 10%. Double check your calculations. m from the object Need Help? LReadlt-L Master It

Explanation / Answer

here,

let the image distance be di and the onject disatnce be do

di = 4 * do ...(1)

and

di - do = 5.2 .....(2)

from (1) and (2)

do = 1.73 m

di = 6.93 m

let the focal length be f

1/f = 1/di +1/do

1/f = 1/1.73 + 1/6.93

solving for f

f = 1.38 m

b)

the radius of curvature , R = 2f = 2.76 m

c)

the mirror is placed 1.73 m in front of the object