Ray Optics and Optical Instruments

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The magnifying power is given by: $$ M = 1 + \frac{D}{f} $$ Where: - $ D = 25 \,\text{cm} $ (least distance of distinct vision) - $ f $ is the focal length of the convex lens. This formula applies …

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Given: - $ f = 5 \,\text{cm} $ - $ D = 25 \,\text{cm} $ Formula: $$ M = 1 + \frac{D}{f} $$ Step 1: Substitute values $$ M = 1 + \frac{25}{5} = 1 + 5 = 6 $$ Answer: The magnifying power is **6**.

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Angular magnification (or magnifying power) is the ratio of the angle subtended by the image at the eye to the angle subtended by the object when placed at the least distance of distinct vision. $$ M…

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**Linear magnification** is the ratio of the size of the image to the size of the object: $$ m = \frac{\text{Image height}}{\text{Object height}} $$ **Angular magnification** is the ratio of angles …

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Normal adjustment occurs when the final image is formed at infinity. In this case, the object is placed at the focal point of the convex lens. The magnifying power is: $$ M = \frac{D}{f} $$ This se…

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Given: - $ f = 2.5 \,\text{cm} $ - $ D = 25 \,\text{cm} $ Formula for normal adjustment: $$ M = \frac{D}{f} $$ Step 1: Substitute values $$ M = \frac{25}{2.5} = 10 $$ Answer: The magnifying power i…

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The two main components are: 1. **Objective lens**: A convex lens with very short focal length and small aperture, placed close to the object. It forms a real, inverted, and magnified image of the ob…

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Let: - $ m_o = \frac{v_o}{u_o} $ → magnification by objective - $ m_e = 1 + \frac{D}{f_e} $ → magnification by eyepiece (simple microscope) Total magnifying power: $$ M = m_o \times m_e $$ $$ M = \f…