Question

Question -01 A lens X has following observation a. When the objects is placed at infinity, the image is formed at focus of the lens b. When a object is placed at 60 cm from the lens, A real image is forced at 10 cm from lens on other side c. The lens has positive Power Answer following based on the data given above 1. The lens is a. Convex b. Concave 2. The focal length of the lens is a. 20 cm b. 10 cm c. 25 cm d. None of these 3. The power of the lens a. 10 D b. 5 D c. 4 D d. None of these 4. When the object is placed at a distance twice the focal length in front of lens, what will be characteristics of the image formed a. A real inverted image of same size will be formed at a distance twice the focal length b. A real ,erect image of high diminished size will be formed at a distance twice the focal length c. A high enlarged image at infinity will be formed d. None of these 5. When the lens is placed close to the page of book, the letters of the page appear a. Highly diminished b. Enlarged c. Same size as object d. None of these ANSWER ASAP PLEASEEEE!!!!!!

Answer 1

Answer:

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Explanation:

Answer 2

The correct answers are given below.

1. The lens is convex.

• The type of the lens can be identified from the observation (C).
• The power of a convex lens is always positive.

2. The correct answer is option (d). None of these.

The focal length of the lens can be calculated as follows:

Given:

Distance of object from the lens, u = 60 cm.

Distance of image from the lens, v = 10 cm.

To Find:

We have to find the focal length of the lens using given values.

Solution:

The equation for focal length (f) is given by:

$f = \frac{u.v}{u-v}$

Substituting the value of u and v in the above equation, we get,

$f = \frac{60.10}{60 - 10} = \frac{600}{50} = 12 cm.$

Hence, the focal length of the lens is 12 cm.

3. The correct answer is option (d). None of these.

The power of the lens can be calculated as follows:

Given:

The focal length of the lens = 12 cm = 12 × $10^{-2}$ m.

To Find:

We have to find the power of the lens using given values.

Solution:

The equation for power (p) is given by:

$p = \frac{1}{f}$

Substituting the value of focal length (f) in the above equation, we get,

$p = \frac{1}{12. 10^{-2}} = \frac{1}{0.12} = 8.333 D.$

Hence, the power of the lens is 8.333 D.

4. The correct answer is option (a). A real inverted image of the same size will be formed at a distance twice the focal length.

• When the object is placed at a distance twice the focal length in front of the convex lens, an image is formed at a distance twice the focal length on the other side of the lens.
• The size of the image will be the same as that of the object, and the image is real and inverted.
• The distance twice the focal length (2F) is the centre of curvature of the lens.

5. The correct answer is option (b). Enlarged.

• When the lens is placed close to the page of a book, the letters on the page appear bigger than their original size.
• The size of the image formed by a convex lens is greater than the object.

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