Question:
A convex lens has power \( P \). It is cut into two halves along its principal axis. Further, one piece (out of two halves) is cut into two halves perpendicular to the principal axis as shown in the figure. Choose the incorrect option for the reported lens pieces.
A convex lens has power \( P \). It is cut into two halves along its principal axis. Further, one piece (out of two halves) is cut into two halves perpendicular to the principal axis as shown in the figure. Choose the incorrect option for the reported lens pieces.
Show Hint
When a lens is cut along its axis, the power of each piece is halved.
Updated On: Apr 18, 2025
- Power of \( L_1 \) is \( P \)
- Power of \( L_1 \) is \( \frac{P}{2} \)
- Power of \( L_2 \) is \( \frac{P}{2} \)
- Power of \( L_2 \) is \( P \)
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
- A convex lens has power \( P \). When the lens is cut into two halves along its principal axis, the focal length of the two pieces remains the same, but the power of each piece becomes half of the original power. - Hence, the power of \( L_1 \), which is one of the two halves, will be \( \frac{P}{2} \). - The second piece \( L_2 \), which is cut into two halves perpendicular to the principal axis, will also have the same power \( \frac{P}{2} \). Therefore, the incorrect option is (4): Power of \( L_2 \) is \( P \).
Was this answer helpful?
0
1
Top Questions on Optics
- A transparent film of refractive index 2.0 is coated on a glass slab of refractive index 1.45. What is the minimum thickness of transparent film to be coated for the maximum transmission of green light of wavelength 550 nm?
- A double convex lens of glass has both faces of the same radius of curvature 17 cm. Find its focal length if it is immersed in water. The refractive indices of glass and water are 1.5 and 1.33 respectively.
- The distance of an object from the first focal point of a biconvex lens is \( X_1 \) and distance of the image from second focal point is \( X_2 \). The focal length of the lens is:
- Name the type of lenses required by the persons for the correction of their defect of vision called presbyopia. Write the structure of the lenses commonly used for the correction of this defect giving reason for such designs.
A slanted object AB is placed on one side of convex lens as shown in the diagram. The image is formed on the opposite side. Angle made by the image with principal axis is:
View More Questions
Questions Asked in KCET exam
The circuit shown in the figure contains two ideal diodes \( D_1 \) and \( D_2 \). If a cell of emf 3V and negligible internal resistance is connected as shown, then the current through \( 70 \, \Omega \) resistance (in amperes) is:
- KCET - 2025
- Refractive index
- The mean deviation about the mean for the data \( 4, 7, 8, 9, 10, 12, 13, 17 \) is:
- KCET - 2025
- measurement of angles
- The distance of the point \( P(-3,4,5) \) from the yz-plane is:
- KCET - 2025
- Distance of a Point From a Line
- If 'a' and 'b' are the order and degree respectively of the differentiable equation \[ \frac{d^2 y}{dx^2} + \left(\frac{dy}{dx}\right)^3 + x^4 = 0, \quad \text{then} \, a - b = \, \_ \_ \]
- KCET - 2025
- Differential equations
- If the number of terms in the binomial expansion of \((2x + 3)^n\) is 22, then the value of \(n\) is:
- KCET - 2025
- Binomial theorem
View More Questions