🔍 Reflection of Light
Numerical Problems Worksheet
📝 Instructions:
- Solve each problem step by step
- Show all calculations clearly
- Include proper units in your final answers
- Round answers to 2 decimal places
🧮 Important Formulas
Mirror Formula: 1/f = 1/v + 1/u
Magnification: m = -v/u = h'/h
Law of Reflection: ∠i = ∠r
Problem 1
An object is placed 25 cm in front of a plane mirror. Calculate the distance between the object and its image.
Problem 2
A person stands 1.5 m away from a plane mirror. If the person moves 0.5 m closer to the mirror, what is the new distance between the person and their image?
Problem 3
A light ray strikes a plane mirror at an angle of 35° to the normal. Calculate the angle of reflection and the angle between the incident and reflected rays.
Problem 4
Two plane mirrors are placed at an angle of 60° to each other. An object is placed between them. Calculate the number of images formed using the formula: n = (360°/θ) - 1
Problem 5
A concave mirror has a focal length of 20 cm. An object is placed 30 cm from the mirror. Calculate the image distance and magnification.
Problem 6
An object 5 cm tall is placed 15 cm from a concave mirror of focal length 10 cm. Find the position, size, and nature of the image formed.
Problem 7
A concave mirror produces a real image 3 times larger than the object. If the object is placed 16 cm from the mirror, find the focal length of the mirror.
Problem 8
An object is placed at the center of curvature of a concave mirror having radius of curvature 24 cm. Calculate the image distance and magnification.
Problem 9
A concave mirror forms a virtual image twice the size of the object. If the object is 10 cm from the mirror, find the focal length.
Problem 10
An object placed 25 cm from a concave mirror produces a real image at 50 cm from the mirror. Calculate the focal length and radius of curvature.
Problem 11
A convex mirror has a focal length of -15 cm. An object is placed 20 cm in front of the mirror. Calculate the image distance and magnification.
Problem 12
An object 6 cm tall is placed 12 cm from a convex mirror of radius of curvature 20 cm. Find the position and height of the image.
Problem 13
A convex mirror used as a rear-view mirror in a car has radius of curvature 4 m. If a car is 10 m behind, find the position and size of the image if the car is 1.5 m tall.
Problem 14
An object is placed 8 cm from a convex mirror and its image is formed 3 cm from the mirror. Calculate the focal length and magnification.
Problem 15
A spherical mirror forms an image of magnification -2. If the object distance is 15 cm, find the focal length and determine the type of mirror.
Problem 16
An object is placed between the pole and focus of a concave mirror of focal length 12 cm. If the image formed is 3 times enlarged, find the object distance.
Problem 17
A light ray is incident on a plane mirror at 45° to the mirror surface. Calculate the angle of incidence, angle of reflection, and the deviation of the ray.
Problem 18
A concave mirror has a radius of curvature of 30 cm. Where should an object be placed to get an image of the same size as the object?
Problem 19
An object 4 cm high is placed 18 cm from a spherical mirror. The image formed is virtual, erect, and 2 cm high. Find the focal length and type of mirror.
Problem 20
Two mirrors are placed perpendicular to each other. A light ray strikes one mirror at 30° to the normal. After reflection from both mirrors, find the final direction of the ray relative to its initial direction.
📚 Sign Conventions
Object distance (u): Always negative
Image distance (v): Positive for real images, negative for virtual images
Focal length (f): Positive for concave mirrors, negative for convex mirrors
Magnification (m): Negative for real images, positive for virtual images
Height: Positive above principal axis, negative below
📖 Good luck with your physics studies! 🌟
Remember to show all your working steps clearly!
Shaleen Shekhar | The Physics Next
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