In this article, we going to provide you some Numerical Problems Based on Mirror Formula of Class 12 Physics. In this article, we will explore the key aspects of the mirror formula and solve numerical problems to strengthen your understanding. These problems are essential for students preparing for board exams and competitive exams like JEE and NEET.
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Q1. Two concave mirrors of focal lengths 10 cm and 20 cm are placed 50 cm apart, facing each other. An object is placed midway between them. Calculate the final image distance after two reflections.
Q2. A concave mirror with a focal length of 15 cm produces a virtual image of magnification +2. Find the possible positions of the object.
Q3. An object moves towards a concave mirror of a focal length of 10 cm at a speed of 5 cm/s. At a distance of 20 cm from the mirror, find the rate at which the image distance changes.
Q4.A concave mirror with a focal length of 15 cm is immersed in water (refractive index
n = 4/3). How does the focal length change, and where is the image formed if the object is 30 cm from the mirror?
Q5.A concave mirror with a focal length of 10 cm moves towards a stationary object at 2 cm/s. The object is initially at a distance of 30 cm. Determine the rate of change of the image distance after 3 seconds.
Q6.A concave mirror of focal length 20 cm is placed 40 cm behind a convex lens of focal length 10 cm. An object is placed 30 cm in front of the lens. Calculate the position and nature of the final image.
Q7.A car is 2 m away from a convex mirror with a focal length of 25 cm. If the car moves closer to the mirror at a speed of 10 m/s, determine the rate of change of the image distance after 1 second.
Q8.A concave mirror produces an image with a magnification of -3 when an object is placed at 30 cm. Calculate the new magnification and image distance if the object is moved 10 cm closer to the mirror.
Q9.A concave mirror produces an image 20 cm in front of it for an object placed at 30 cm. A paraxial ray hits the mirror off-center. Using the mirror equation, calculate the radius of curvature and analyze the behavior of the ray.
Q10. A concave mirror of focal length 12 cm is used to produce both real and virtual images of the same object placed at a certain distance. Find the object distances for both cases and the respective magnifications.
Mastering numerical problems based on mirror formula is crucial for excelling in Class 12 Physics. With consistent practice and attention to detail, you can tackle these problems confidently in both board and competitive exams. Keep revisiting the fundamentals, and don’t forget to practice various scenarios to enhance your problem-solving skills.
