Question

what is the nature of the image formed by convex lens when the object is between f and 2f

Answer 1

Hey there !

Solution:

Nature of Lens : Convex Lens

Position of Object : Between F and 2F

Position of Image : Beyond 2F

Nature : Real, inverted and enlarged.

Properties of a convex lens:

• It forms a real image and also converges the light rays passing through the lens.
• It forms a virtual image only when the object is placed in front of the focus between F and Optic center ( O ).

Hope my answer helped !

Answer 2

Answer:

╔┓┏╦━━╦┓╔┓╔━━╗╔╗ ║┗┛║┗━╣┃║┃║╯╰║║║ ║┏┓║┏━╣┗╣┗╣╰╯║╠╣ ╚┛┗╩━━╩━╩━╩━━╝╚╝

$\huge\underbrace{\underline{\mathtt{\red{†A᭄}\pink{N}\green{S}\blue{W}\orange{E}\orange{R࿐꧂}\blue{}}}}$

Explanation:

From the above ray diagram we can observe that If we place the object between F(focus)and 2F the image formed is always beyond 2F. The images are real and always inverted.

Let us say an object is placed at 2F from the optical centre. Let us find its image using the lens formula for a convex lens i.e.

Let us say an object is placed at 2F from the optical centre. Let us find its image using the lens formula for a convex lens i.e.1f=1v−1u1f=1v−1u where f is the focal length of the lens, v is the image distance and u is the object distance

Now let us place an object at u=-2f i.e. the centre of curvature. The minus sign indicates that the distance measured from the optical centre is opposite to the direction of the ray of light. Using the lens formula to let's calculate its image distance.

1f=1v−1−2f1f=1v−1−2f

1f=1v−1−2f1f=1v−1−2fMultiplying 2 on both the sides of the above equation we get,

denominator1f=2v1f=2v hence v=2f

HOPE IT HELPS YOU !!