Question

An object is placed 12 cm to the left of a converging lens of focal length 8 cm. Another converging lens of 6 cm focal length is placed at a distance of 30 cm to the right of the first lens. The second lens will produce

• A. no image
• B. a virtual enlarged image
• C. a real enlarged image
• D. real inverted image

Answer 1

The Correct Option is C

The correct answer is C:a real enlarged image
\(\text { For lens }(1) \frac{1}{f}=\frac{1}{v}-\frac{1}{u} \Rightarrow \frac{1}{(+8)}=\frac{1}{v}-\frac{1}{(-12)}\)
\(\Rightarrow\, v = 24 \,cm\)
 

Answer 2

The lens is a piece of clear, thick glass that has two spherical surfaces enclosing it. Depending on the kind, spherical lenses are optical devices that force light beams to converge or diverge. Concave lenses and Convex lenses are the two categories that separate spherical lenses. 

• Concave lenses are those that feature two protruding spherical surfaces. 
• Convex lenses are those with two spherical surfaces that are protruding inward. 
• The ratio of the image's height to the object's height is known as the magnifying power of the lens. 

The connection between the focal length, image distance, and object distance may be determined using the lens formula. The Lens Formula is provided as

1/f = 1/v + 1/u

Here, v is the distance of the image from the lens, u is the distance of the object from the lens, and f is the focal length of the lens.

Lens Formula states the relationship between the distance of an object, the distance of an image, and the focal length of the lens in Optics. The lens formula is applicable to both concave and convex lenses. It is used to find image distance for both real images and virtual images.

Lens formula can be used in all situations related to spherical mirrors with appropriate sign conventions. The images which are formed by the Concave and the Convex lens can be real or virtual as well as they may have different sizes. 

• If the distance of the image is negative, then it is a virtual image on the same side of the lens as the object.
• If the formula has a negative (-ve) focal length, then the lens is a diverging lens.

Distance is always measured from the optical center of the lenses. 

• If the image is virtual, then the distance of the image (v) is negative.
• If the image is real, the distance of the image (v) is positive.