What is the image distance for a convex lens if the object is placed at 10 cm an

What is the image distance for a convex lens if the object is placed at 10 cm and the focal length is 5 cm?

What is the image distance for a convex lens if the object is placed at 10 cm and the focal length is 5 cm?

Step 1: Identify the given values. The object distance (u) is -10 cm (we use a negative sign for real objects) and the focal length (f) is +5 cm (positive for convex lenses).
Step 2: Write down the lens formula: 1/f = 1/v - 1/u.
Step 3: Substitute the known values into the lens formula: 1/5 = 1/v - 1/(-10).
Step 4: Simplify the equation: 1/5 = 1/v + 1/10.
Step 5: Find a common denominator for the right side. The common denominator for 5 and 10 is 10. Rewrite the equation: 1/5 = 2/10 + 1/v.
Step 6: Rewrite 1/5 as 2/10 to make it easier to solve: 2/10 = 2/10 + 1/v.
Step 7: Subtract 2/10 from both sides: 0 = 1/v.
Step 8: This means 1/v = 1/10, so v = 15 cm.

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