Home
Class 12
PHYSICS
Assertion:A convex lens and a concave le...

Assertion:A convex lens and a concave lens are kept in contact. They will behave as a diverging lens if focal length of convex lens is more.
Reason: Power of a concave lens is always less than the power of a convex lens, as power of concave lens is negative whereas power of convex lens is positive.

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.

C

If both Assertion is true, but the Reason is false.

D

If both Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that a convex lens and a concave lens kept in contact will behave as a diverging lens if the focal length of the convex lens is more. - A convex lens has a positive focal length (f1) and a concave lens has a negative focal length (f2). 2. **Understanding the Focal Lengths**: - Let’s denote the focal length of the convex lens as \( f_1 \) (positive) and the focal length of the concave lens as \( f_2 \) (negative). - For the system of lenses to behave as a diverging lens, the net focal length (F) must be negative. 3. **Using the Lens Formula**: - The lens formula for two lenses in contact is given by: \[ \frac{1}{F} = \frac{1}{f_1} + \frac{1}{f_2} \] - Since \( f_2 \) is negative, we can rewrite the equation as: \[ \frac{1}{F} = \frac{1}{f_1} - \frac{1}{|f_2|} \] 4. **Condition for Diverging Lens**: - For the combined lens to behave as a diverging lens, we need: \[ \frac{1}{F} < 0 \] - This implies: \[ \frac{1}{f_1} < \frac{1}{|f_2|} \] - Rearranging gives: \[ f_1 > |f_2| \] - This means that the focal length of the convex lens must be greater than the magnitude of the focal length of the concave lens. 5. **Conclusion on the Assertion**: - Since the assertion states that the focal length of the convex lens is more, it is indeed true that \( f_1 > |f_2| \) leads to the system behaving as a diverging lens. 6. **Analyzing the Reason**: - The reason states that the power of a concave lens is always less than the power of a convex lens. - Power (P) is defined as: \[ P = \frac{1}{f} \] - For a convex lens, the power is positive, and for a concave lens, the power is negative. - While it is true that the power of a concave lens is negative and the power of a convex lens is positive, saying that one is "less" than the other is misleading because they are of different signs. 7. **Conclusion on the Reason**: - Therefore, the reason is incorrect because it misrepresents the relationship between the powers of the lenses. ### Final Answer: - The assertion is true, but the reason is false.

To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that a convex lens and a concave lens kept in contact will behave as a diverging lens if the focal length of the convex lens is more. - A convex lens has a positive focal length (f1) and a concave lens has a negative focal length (f2). ...
Promotional Banner

Topper's Solved these Questions

  • REFRACTION OF LIGHT

    DC PANDEY ENGLISH|Exercise Level 1 Objective|38 Videos
  • REFRACTION OF LIGHT

    DC PANDEY ENGLISH|Exercise Objective Questions|1 Videos
  • REFRACTION OF LIGHT

    DC PANDEY ENGLISH|Exercise Exercise 31.8|8 Videos
  • REFLECTION OF LIGHT

    DC PANDEY ENGLISH|Exercise Subjective|9 Videos
  • SEMICONDUCTORS

    DC PANDEY ENGLISH|Exercise Subjective|12 Videos

Similar Questions

Explore conceptually related problems

The convex lens is used in-

Find the power of a concave lens of focal length 2 m .

Focal length of a convex lense in air is 20cm. and of concave lens 40cm. Find the position of final image.

A focal length of a lens 10cm. What is power of a lens in dipotre?

A convex lens of focal length 40 cm is in contact with a concave lens of focal length 25 cm. The power of the combination is

A convex lens of focal length f_(1) is kept in contact with a concave lens of focal length f_(2) . Find the focal length of the combination.

The power of a lens is -5 D. Name the type of lens.

A convex lens of power +2.5 D is in contact with a concave lens of focal length 25 cm. The power of combination is

A convex lens of focal length A and a concave lens of focal length B are placed in contact. The focal length of the combination is

An equiconcave lens has power P. Find power of plano concave lens when given lens is cut in such a way that two plano concave lens are formed.