Answer :
The distance of the object from the spherical mirror is 124 cm.
According to the mirror formula, 1/f = 1/v + 1/u, where f is the focal length, v is the distance of the image from the mirror, and u is the distance of the object from the mirror. Rearranging this formula, we get u = (vf)/(v-f). Substituting the given values, we get u = 124 cm.
To find the distance of the object from the spherical mirror, we can use the mirror formula, which relates the focal length, distance of the image, and distance of the object from the mirror. Rearranging the formula, we get the distance of the object as a function of the other two distances. Substituting the given values, we get that the object is located 124 cm from the mirror.
The distance of the object from the spherical mirror is 124 cm.
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The distance of the object from the mirror is approximately 18.2 cm. Here option D is the correct answer.
To find the distance of the object from the spherical mirror, we can use the mirror formula, which relates the focal length (f), the distance of the image (v), and the distance of the object (u) from the mirror. The formula is given by:
1/f = 1/v + 1/u
We are given that the image height (h') is 38.6 cm, the object height (h) is 47.5 cm, and the distance of the image (v) is 14.8 cm.
Using the magnification formula, h'/h = -v/u, we can find the magnification (M). Rearranging the formula, we have:
M = h'/h = -v/u
Substituting the given values, we get:
38.6/47.5 = -14.8/u
Solving for u, we have:
u = (-47.5 * 14.8) / 38.6 = -18.232
Since the distance cannot be negative, we take the absolute value:
u = 18.232 cm
The correct answer is D - 18.2 cm.
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Complete question:
An object that is 47.5 cm tall forms an image that is 38.6 cm tall and 14.8 cm from a spherical mirror. how far is the object from the mirror?
A - 124 cm
B - 47.6 cm
C - 12.0 cm
D - 18.2 cm
