What will be the position of the object, when a convex lens of focal length 20 cm, is used to form an erect image which is twice as large as the object.
Correct answer: A. 10 cm
- A. 10 cm
- B. 20 cm
- C. 30 cm
- D. 40 cm
Explanation
This is the correct answer. To form an erect image twice as large as the object using a convex lens, the object must be placed between the focal point and the optical center of the lens. Focal length (f): 20 cm Magnification (m): 2 (since the image is twice as large as the object)Using the lens formula:1/v - 1/u = 1/fWhere: v is the image distance u is the object distanceSince the magnification is positive for an erect image:m = v/u = 2Therefore: v = 2uSubstituting this into the lens formula: 1/(2u) - 1/u = 1/20 cmSolving for u:u = 10 cmTherefore, the object must be placed 10 cm from the lens to form an erect image twice as large as the object.
Last updated
About Optics
Light is studied through reflection, refraction, dispersion, interference, diffraction and polarization, linking ray behavior with its wave nature. Questions may involve mirrors, lenses, optical instruments, refractive index and image formation, while geometrical optics deals with rays and wave optics explains effects such as interference and diffraction.
Practise Optics
665 free Optics MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Physics questions like this
Physics is on 7 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
8If the two sound waves produce beats, it is necessary that the two have:
A 16 cm long image of an object is formed by a convex lens on a screen placed normal to its principal axis. On moving the lens towards the screen, without changing the positions of the object and the screen, a 9 cm long image is formed again on the screen. The size of the object is:
A 4 cm high object is located 10 cm from the converging lens, whose focal length is 20 cm. The image so formed will be
A beam of electrons can
A beam of electrons can: