Answer:
The magnification of the spoon is approximately 0.39
Step-by-step explanation:
To determine the magnification of the spoon, we can use the lens formula:
1/f = 1/v - 1/u
Where:
f = focal length of the lens (convex lens in this case)
v = image distance from the lens
u = object distance from the lens
Given:
f = -6.50 cm (negative because it is convex)
u = 5.00 cm
Substituting the given values into the lens formula:
1/-6.50 = 1/v - 1/5.00
Simplifying:
-1/6.50 = 1/v - 1/5.00
To solve for v, we need to find a common denominator:
-5/32.50 = (5 - 6.50)/ (5v)
-5/32.50 = (-1.50)/ (5v)
Cross-multiplying:
-5 * 5v = -32.50 * -1.50
-25v = 48.75
Dividing both sides by -25:
v = 48.75 / -25
v = -1.95 cm
Now, we have the image distance (v), which is approximately -1.95 cm. To find the magnification (M), we use the formula:
M = -v/u
Substituting the values:
M = -(-1.95 cm) / 5.00 cm
M = 0.39