the image formed by a spherical mirror is real ,inverted and is of magnification -2.if the image is at a distance of 30cm from the mirror , where is the object placed? find the focal length of the mirror
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Magnification = image distance ÷ object distance.
M = - 2
Image distance = 30cm
Since magnification is negative, the image distance is negative since the object distance is always positive.
-2 = - 30/v
v = - 30/-2 = 15cm
The object is placed at 15cm.
Mirror formulae :
1/f = 1/u + 1/v .
Where F is the focal length, u is the image distance and V the object distance.
1/f = - 1/30 + 1/15
1/f = 1/15 - 1/30 = (2-1)/30 =1/30
1/f = 1/30
Getting the reciprocal :
f = 30cm.
M = - 2
Image distance = 30cm
Since magnification is negative, the image distance is negative since the object distance is always positive.
-2 = - 30/v
v = - 30/-2 = 15cm
The object is placed at 15cm.
Mirror formulae :
1/f = 1/u + 1/v .
Where F is the focal length, u is the image distance and V the object distance.
1/f = - 1/30 + 1/15
1/f = 1/15 - 1/30 = (2-1)/30 =1/30
1/f = 1/30
Getting the reciprocal :
f = 30cm.
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