## Concave Mirror Equation Calculator

Image Distance (d_{i}):

Magnification (m):

Symbol | Description |
---|---|

f | Focal length of the concave mirror |

v | Image distance (distance from the mirror to the image) |

u | Object distance (distance from the mirror to the object) |

h_i | Height of the image |

h_o | Height of the object |

M | Magnification |

## FAQs

**1. What is the formula for mirror equation concave?** The mirror equation for a concave mirror is approximately given by:

1/f≈1/v+1/u1/f≈1/v+1/u

**2. What is the equation for concave?** The equation for a concave mirror is the mirror equation, which relates the focal length (f), object distance (u), and image distance (v) as shown above.

**3. How do you find the U and V of a concave mirror?** The object distance (u) is the distance from the object to the mirror, and the image distance (v) is the distance from the mirror to the image. You can measure these distances directly or use the mirror equation to calculate them.

**4. What is the formula for the height of a concave mirror?** The formula for the height of an image (hi) produced by a concave mirror can be estimated using the magnification formula:

hi≈ho×magnificationhi≈ho×magnification

where ho is the height of the object and the magnification is given by the ratio of image height to object height.

**5. How do you solve concave mirror problems?** To solve problems involving concave mirrors, you can follow these steps: a. Identify known values (object distance, focal length, etc.). b. Use the mirror equation and magnification formula to calculate unknown values. c. Determine the nature (real or virtual) and properties (upright or inverted) of the image. d. Apply relevant formulas to find image characteristics such as size and position.

**6. What is the expression for a concave mirror?** The expression for a concave mirror refers to the mirror equation, which relates the object distance, image distance, and focal length of the mirror as mentioned in question 1.

**7. How do you calculate convex and concave?** Convex and concave refer to the shape of mirrors or lenses. Convex mirrors bulge outward, while concave mirrors curve inward. To calculate their properties, you need specific formulas like the mirror equation for concave mirrors (question 1).

**8. What is the formula of concave surface?** The formula for a concave mirror is given by the mirror equation (question 1), which describes the relationship between focal length, object distance, and image distance.

**9. How do you find where an equation is concave up or down?** An equation is concave up if its second derivative is positive and concave down if its second derivative is negative. This concept is commonly used in calculus to analyze the shape of functions.

**10. What is the formula for mirror?** The formula for a mirror typically refers to the mirror equation, which is used for concave and convex mirrors and relates focal length, object distance, and image distance (question 1).

**11. What is the formula for the focal length of a concave mirror?** The formula for the focal length of a concave mirror can be estimated as:

focal length (f)≈12×radius of curvature (R)focal length (f)≈21×radius of curvature (R)

**12. How do you find the position of a concave mirror?** The position of a concave mirror is typically measured from its pole (P). It can be calculated using the mirror equation, but without more specific information, it’s challenging to provide an exact position without symbols.

**13. How do you find the size of an object in a concave mirror?** To find the size of an object in a concave mirror, you would need to know the height of the object (ho) and the magnification (which can be calculated using the mirror equation). The approximate formula is mentioned in question 4.

**14. What is the length of a concave mirror?** The length of a concave mirror is not a standard term used to describe mirrors. Mirrors are typically characterized by their focal length, radius of curvature, and shape (convex or concave).

**15. What is size in concave mirror?** Size in a concave mirror refers to the dimensions of the image and object formed by the mirror. It can be calculated using the magnification formula (question 4).

**16. What are 3 examples of concave mirrors?** Three examples of concave mirrors are: a. Makeup mirrors b. Dentist’s mirrors c. Reflecting telescopes

**17. What are the three rules of concave mirror?** The three rules of concave mirrors are: a. Any incident ray parallel to the principal axis of the mirror will pass through the focal point after reflection. b. Any incident ray passing through the focal point before reflection will emerge parallel to the principal axis. c. Any incident ray passing through the center of curvature will reflect back on itself.

**18. What does a concave mirror give 3 times?** A concave mirror can give three types of images: a. Real, inverted, and diminished. b. Real, inverted, and magnified. c. Virtual, upright, and magnified.

**19. What is the formula for image height?** The formula for image height (hi) can be estimated as:

hi≈ho×magnificationhi≈ho×magnification

where ho is the height of the object and the magnification is given by the ratio of image height to object height.

**20. What is the formula for calculating concave lens?** The formula for calculating the properties of a concave lens, such as focal length and image position, is different from that of concave mirrors. It involves the lens formula:

1�=1�−1�*f*1=*v*1−*u*1

**21. What is an example of a concave function?** An example of a concave function is the quadratic function �(�)=−�2*f*(*x*)=−*x*2. It has a downward-facing parabolic shape and a concave down graph.

**22. What are the 4 types of concave?** There are not four types of concave, but rather concave refers to the shape of mirrors or lenses. Concave mirrors and concave lenses are the two main types based on their shape.

**23. What is an example of a concave surface?** An example of a concave surface is the inner surface of a bowl or a cave’s interior walls. These surfaces curve inward.

**24. Does a concave mirror have a surface?** Yes, a concave mirror has two surfaces: a reflective surface on the inside (concave side) and a non-reflective surface on the outside.

**25. What is an example of a concave down equation?** An example of a concave down equation is the quadratic function �(�)=−�2*f*(*x*)=−*x*2, which has a downward-facing parabolic shape.

**26. What is the concavity theorem?** The concavity theorem is a mathematical concept used in calculus. It states that if the second derivative of a function is positive, the function is concave up; if the second derivative is negative, the function is concave down.

**27. Is concavity the second derivative?** Yes, concavity is determined by the second derivative of a function. If the second derivative is positive, the function is concave up, and if it’s negative, the function is concave down.

**28. What is the mirror formula for a concave mirror when a virtual image is formed?** The mirror formula for a concave mirror when a virtual image is formed is still the same as mentioned in question 1. It applies to both real and virtual images formed by concave mirrors.

**29. How do you find the radius of a concave mirror?** The radius of curvature (R) of a concave mirror can be estimated using the following formula:

�≈2�*R*≈2*f*

where f is the focal length of the concave mirror.

**30. How to find out the focal length of a concave mirror quickly and approximately?** You can find the approximate focal length of a concave mirror by using the formula mentioned in question 11, which relates the focal length to the radius of curvature.

**31. What is a concave length of focal length?** The concave length of focal length is not a standard term. The focal length of a concave mirror is typically denoted by “f.”

**32. What is the position of a concave mirror between C and f?** When a concave mirror is positioned between its center of curvature (C) and its focal point (f), it forms a real and inverted image beyond the center of curvature.

**33. What is the object at C in a concave mirror?** When the object is placed at the center of curvature (C) of a concave mirror, the image is also formed at the center of curvature, and it is real, inverted, and the same size as the object.

**34. What is the image formed by a concave mirror at the focus?** If an object is placed at infinity in front of a concave mirror, the image will be formed at the focus (f). The image will be real and highly focused.

**35. How to find the size of image in concave mirror by magnification?** The size of the image (hi) in a concave mirror can be estimated using the magnification formula:

hi≈ho×magnificationhi≈ho×magnification

where ho is the height of the object and the magnification is given by the ratio of image height to object height.

**36. How do you find the size of an image in a concave lens?** The size of an image in a concave lens is determined by the properties of the lens and the object’s position. The formula for image size in a lens is different from that of a mirror and involves lens equations.

**37. How do you find the nature of an object in a concave mirror?** To determine the nature of an object in a concave mirror, consider its position relative to the focal point (f) and the center of curvature (C). If it is beyond C, the image is real and inverted; if between C and f, the image is real and inverted but smaller; if at f, there is no real image; if between the mirror and f, the image is virtual and upright.

**38. When the distance of an object from a concave mirror is?** This question seems incomplete. Please provide more details for a specific question.

**39. What is the distance between object and image in a concave mirror?** The distance between the object and the image in a concave mirror depends on the specific positions of the object and image. It can be calculated using the mirror equation.

**40. Is concave mirror the same size as the object?** No, a concave mirror does not necessarily produce an image that is the same size as the object. The size of the image can vary based on the object’s position and the mirror’s focal length.

**41. When an object is 30 cm from a concave mirror?** When an object is 30 cm from a concave mirror, you would need additional information, such as the focal length of the mirror, to determine the exact characteristics of the image.

**42. Does a concave mirror make things bigger or smaller?** A concave mirror can make things either bigger or smaller depending on the object’s position relative to the mirror. If the object is beyond the focal point, the image will be smaller; if it’s between the focal point and the mirror, the image will be larger.

**43. What will be the size of image formed by a concave mirror when an object placed between pole and focus?** When an object is placed between the pole (P) and the focal point (f) of a concave mirror, the image will be virtual, erect, and larger than the object. The exact size can be determined using the magnification formula (question 4).

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