An object is placed perpendicular to the principal axis of a convex lens of focal length 20 cm. The distance of the object from the lens is 30 cm. Find the magnification of the image formed.
Question
An object is placed perpendicular to the principal axis of a convex lens of focal length 20 cm. The distance of the object from the lens is 30 cm. Find the magnification of the image formed.
Solution
Sure, let's solve this step by step.
Step 1: Identify the given values. The focal length (f) of the convex lens = +20 cm (it's positive because it's a convex lens) The object distance (u) = -30 cm (it's negative because the object is placed on the left side of the lens)
Step 2: Use the lens formula to find the image distance (v). The lens formula is 1/f = 1/v - 1/u. Rearrange the formula to solve for v: 1/v = 1/f + 1/u.
Step 3: Substitute the given values into the formula. 1/v = 1/20 + 1/(-30) 1/v = (30 - 20) / (20 * 30) 1/v = 10 / 600 1/v = 1/60
So, v = 60 cm. The positive sign indicates that the image is formed on the right side of the lens.
Step 4: Calculate the magnification (m). The magnification formula is m = -v/u.
Step 5: Substitute the values into the formula. m = -60 / -30 m = 2
So, the magnification of the image formed by the lens is 2. This means the image is twice the size of the object.
Similar Questions
A 6 cm tall object is placed perpendicular to the principal axis of a convex lens of focal length 15 cm. The distance of the object from the lens is 10 cm. Find the size and nature of the image formed, using the lens formula.
An object is placed at a distance of 30 cm from a convex lens of focal length 20 cm. Find the position of the image.
An object 50 cm tall is placed on the principal axis of a convex lens. Its 20 cm tall image is formed on the screen placed at a distance of 10 cm from the lens. Calculate the focal length of the lens upto two places of decimal.
An object of size 3 cm is placed at a distance of 15 cm from a convex lens. Focallength of lens is 10 cm. Find the position, nature and size of image.
An object is placed perpendicular to the principal axis of a convex mirror with radius of curvature of 40 cm. The position of the object from the pole of the mirror is 60 cm. Find the position of the image formed and its magnification.-15 cm and 0.5 respectively+15 cm and 0.25 respectively+12 cm and 0.5 respectively-12 cm and 0.25 respectively
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.