The distance between an object and a divergent lens is $m$ times the focal length of the lens. The linear magnification produced by the lens is
- $m$
- $\frac{1}{m}$
- $m+1$
- $\frac{1}{m+1}$
The Correct Option is D
Solution and Explanation
$\therefore \frac{1}{v}-\frac{1}{(-m f)}=-\frac{1}{f}$
$\Rightarrow \frac{1}{v}=-\frac{1}{f}\left(1+\frac{1}{m}\right)$
$\Rightarrow -\frac{v}{f}=\frac{m}{m+1}$
$\Rightarrow - \frac{v}{u}=\left(\frac{1}{1+m}\right)$
Top Questions on spherical lenses
- A convex lens has a focal length of 10 cm. What is the magnification produced when the object is placed 30 cm from the lens?
- VITEEE - 2025
- Physics
- spherical lenses
- A convex lens has a focal length of \( 20 \, \text{cm} \). An object is placed at a distance of \( 30 \, \text{cm} \) from the lens. What is the position of the image formed?
- MHT CET - 2025
- Physics
- spherical lenses
- What is the focal length of a lens if its power is +2 D?
- VITEEE - 2025
- Physics
- spherical lenses
- Lenz's law explains about:
- TS POLYCET - 2025
- Physics
- spherical lenses
- The lens used to correct myopia is:
- TS POLYCET - 2025
- Physics
- spherical lenses
Questions Asked in WBJEE exam
What are the charges stored in the \( 1\,\mu\text{F} \) and \( 2\,\mu\text{F} \) capacitors in the circuit once current becomes steady?
- WBJEE - 2026
- Capacitors and Capacitance
Which one among the following compounds will most readily be dehydrated under acidic condition?
- WBJEE - 2026
- Organic Reactions
Manufacturers supply a zener diode with zener voltage \( V_z=5.6\,\text{V} \) and maximum power dissipation \( P_{\max}=\frac14\,\text{W} \). This zener diode is used in the circuit shown. Calculate the minimum value of the resistance \( R_s \) so that the zener diode will not burn when the input voltage is \( V_{in}=10\,\text{V} \).
- WBJEE - 2026
- Zener Diodes
Two charges \( +q \) and \( -q \) are placed at points \( A \) and \( B \) respectively which are at a distance \( 2L \) apart. \( C \) is the midpoint of \( AB \). The work done in moving a charge \( +Q \) along the semicircle CSD (\( W_1 \)) and along the line CBD (\( W_2 \)) are
- WBJEE - 2026
- electrostatic potential and capacitance
A piece of granite floats at the interface of mercury and water. If the densities of granite, water and mercury are \( \rho, \rho_1, \rho_2 \) respectively, the ratio of volume of granite in water to that in mercury is
- WBJEE - 2026
- Buoyancy and Floatation
Concepts Used:
Spherical Lenses
Lenses that are made by combining two spherical transparent surfaces are called spherical lenses. In general, there are two kinds of spherical lenses. Lenses that are made by joining two spherical surfaces that bulge outward are convex lenses, whereas lenses that are made by joining two spherical surfaces that curve inward are concave lenses.
Properties of Convex lens:
- In this, the lenses are thicker in the middle and thinner at the edges.
- They have a positive focal length.
- It intersects the incident rays towards the principal axis
- These lenses are used in the camera, focus sunlight, projector microscope, simple telescope, overhead projector, magnifying glasses, etc.
Properties of Concave lens:
- These lenses are thinner in the middle and thicker at the edges.
- They have a negative focal length.
- It parts the incident rays away from the principal axis.
- These are used in the glasses, spy holes, some telescopes in the doors, etc.