To find the power (P) of point A, we can use the formula P = 1/f, where f is the focal length.
Since the distance from object (O) to mirror (M) is given as 6 cm, and the radius of the mirror (R) is given as 7 cm, we can use the formula 1/f = 1/O + 1/I, where O is the object distance and I is the image distance.
The object distance is the distance from the object (O) to the mirror (M), which is 6 cm.
The image distance (I) can be found using the formula 1/f = 1/O + 1/I.
1/f = 1/6 + 1/I
To solve for I, we rearrange the equation:
1/I = 1/f - 1/O
1/I = 1/7 - 1/6
1/I = (6 - 7)/(6 * 7)
1/I = -1/42
Therefore, I = -42 cm
Now that we have the image distance (I), we can find the focal length (f) using the formula f = (R^2 - I^2)/(4 * R), where R is the radius of the mirror given as 7 cm.
f = (7^2 - (-42)^2)/(4 * 7)
f ≈ 112/28
f ≈ 4 cm
Finally, we can calculate the power (P) using the formula P = 1/f:
P = 1/4
Therefore, the power of point A is 1/4.
find power of A if AM is 6 cm and radius is 7
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