A concave lens has a focal length of 15 cm. When it forms an image, the distance from the lens to the image is 10 cm. To find the object distance, we can use the lens formula:
v1−u1=f1
where:
(v) is the image distance (which is -10 cm since it’s on the same side as the image for a concave lens).
(u) is the object distance (what we need to find).
(f) is the focal length (which is -15 cm for a concave lens).
Plugging in the values:
−101−u1=−151
Solving for (u):
u1=−151−−101
u1=302−303
u1=−301
u=−30cm
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