Question
Define and describe magnifying power of an optical instrument. How does it differ from linear or lateral magnification?

Answer

i. Angular magnification or magnifying power of an optical instrument is defined as the ratio of the visual angle made by the image formed by that optical instrument (β) to the visual angle subtended by the object when kept at the least distance of distinct vision (α).

ii. The linear magnification is the ratio of the size of the image to the size of the object.

iii. When the distances of the object and image formed are very large as compared to the focal lengths of the instruments used, the magnification becomes infinite. Whereas, the magnifying power being the ratio of angle subtended by the object and image, gives the finite value.

iv. For example, in case of a compound microscope,
$M _{\min }=\frac{D}{f}=\frac{25}{5}=5$ and $M _{\max }=1+\frac{D}{f}=6$
Hence image appears to be only 5 to 6 times bigger for a lens of focal length $5 cm$.
For $M _{\min }=\frac{D}{f}=5, V =\infty$
$\therefore$ Lateral magnification $(m)=\frac{v}{u}=\infty$
Thus, the image size is infinite times that of the object, but appears only 5 times bigger.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Three equal charges of $10 \times 10^{-8}\ C$ respectively, each located at the corners of a right triangle whose sides are $15\ cm, 20\ cm$ and $25\ cm$ respectively. Find the force exerted on the charge located at the $90^\circ $ angle.
What are some electrical properties of semiconductors?
Derive the formula for kinetic energy of a particle having mass $m$ and velocity $v$ using dimensional analysis
A stone is thrown with an initial velocity components of $20 \ m/s$ along the vertical, and $15 \ m/s$ along the horizontal direction. Determine the position and velocity of the stone after $3 s.$ Determine the maximum height that it will reach and the total distance travelled along the horizontal on reaching the ground. $($Assume $g = 10 \ m/s^2)$
Two small and similar bar magnets have magnetic dipole moment of 1.0 Am² each. They are kept in a plane in such a way that their axes are perpendicular to each other. A line drawn through the axis of one magnet passes through the centre of other magnet. If the distance between their centres is 2 m, find the magnitude of magnetic field at the midpoint of the line joining their centres.
Derive an expression for binding energy of a body at rest on the Earth’s surface.
A shell of mass $3 \ kg$ is dropped from some height. After falling freely for $2$ seconds, it explodes into two fragments of masses $2 \ kg$ and $1 \ kg.$ Kinetic energy provided by the explosion is $300 J.$ Using $g = 10 \ m/s^2,$ calculate velocities of the fragments. Justify your answer if you have more than one options.
State the formula for acceleration due to gravity at depth ' $d$ ' and altitude ' $h$ ' Hence show that their ratio is equal to $\left(\frac{R-d}{R-2 h}\right)$ by assuming that the altitude is very small as compared to the radius of the Earth.
Why is a minimum two stage rocket necessary for launching of a satellite?
Explain the different types of modulation.