A 3 cm tall object is placed 9 cm in front of a concave lens with focal length 6 cm. What is the approximate height of the image formed?
1.2 cm and upright
Using the sign convention, u = −9 cm, f = −6 cm (concave lens) and h = +3 cm.
Lens formula: 1/v − 1/u = 1/f, so 1/v = 1/f + 1/u = −1/6 − 1/9 = (−3 − 2)/18 = −5/18.
Therefore v = −18/5 = −3.6 cm (virtual image on the same side as the object).
Magnification m = v/u = (−3.6)/(−9) = 0.4.
Image height h′ = m × h = 0.4 × 3 = 1.2 cm; since h′ is positive, the image is upright (erect).
Hence, the answer is 1.2 cm and upright.
Similar Questions
To get a virtual, erect and enlarged image using a spherical mirror, the object must be placed _____________.
If a lens produces an image twice as tall as the object, what is the magnification produced by the lens?
A scientist wants to demonstrate why the sky appears blue during the day and reddish at sunset using a glass tank of water, a flashlight, and a small amount of milk. Which setup best demonstrates light scattering similar to that observed in the atmosphere?
When an object is placed at 2F1 of a convex lens, where is the image formed?
The measure of an image's clarity is called _________, whereas _________ is the brightness difference between object parts.
Which of the following best describes the power of accommodation of the human eye?
An object is placed 15 cm from a concave lens of focal length 10 cm. What is the nature and position of the image formed by the lens?
With ageing, the power of accommodation of the human eye decreases, causing difficulty in viewing nearby objects clearly. This defect is known as:
Why does the sky appear blue to human observers during daytime?
Which of the following best describes the image formed by a concave mirror when the object is placed just beyond the focal point but before the center of curvature?
Important Questions from Optics
Who was the first one to use a glass prism to obtain the spectrum of sunlight?
Twinkling of stars is due to:
In which a convex mirror is used?
A. Rear View mirrors in vehicles
B. Glass windows
C. Makeup Mirror
D. Kaleidoscope
What is the reason for formation of Mirage in desert?
An object is placed 10 cm in front of a lens. The image formed is real, inverted and of same size as the object. What is the focal length and nature of the lens?
