Are you searching for a 25 Mirror Formula Numericals for Class 10 With Solutions (PDF)? You’re in the right place! This article provides 25 carefully crafted mirror formula questions, each with quick solutions and final answers—essential for board exam prep, school tests, and quick understanding.
Why You Must Practice Mirror Formula Numericals
The mirror formula is a core concept in Class 10 Physics Chapter: Light – Reflection and Refraction. Mastering these numericals is key for scoring high marks because they:
- Sharpen your concept clarity.
- Build problem-solving speed.
- Help avoid common sign convention mistakes.
- Cover typical exam questions from NCERT, boards, and competitive tests.
The Mirror Formula (Quick Recap)
The mirror formula relates object distance (uu), image distance (vv), and focal length (ff):1f=1v+1uf1=v1+u1
Always use standard sign convention:
- Object distances (uu): Always negative (left of the mirror)
- Concave mirror focal length (ff): Negative
- Convex mirror focal length (ff): Positive
- Real images (vv): Negative; Virtual images: Positive
25 Mirror Formula Numericals for Class 10 With Solutions (PDF)
| No. | Problem Statement | Solution Approach | Final Answer |
|---|---|---|---|
| 1 | Object at 30 cm from concave mirror, f = -10 cm. Find v, m. | 1/f = 1/v + 1/u ; m = -v/u | v = -15 cm, m = -0.5 |
| 2 | Object at 20 cm from concave mirror, f = -15 cm. Find v. | 1/–15 = 1/v + 1/–20 | v = –60 cm |
| 3 | Find m for u = –20 cm, v = –60 cm. | m = –v/u | m = –3 |
| 4 | Object at 25 cm from convex mirror, f = +15 cm. Find v. | 1/15 = 1/v + 1/(–25) | v = +9.4 cm |
| 5 | Find f if R = 32 cm (concave). | f = R/2 | f = –16 cm |
| 6 | Object at 10 cm from concave, f = –20 cm. Find v, m. | 1/f = 1/v + 1/u ; m = –v/u | v = –6.7 cm, m = –0.67 |
| 7 | Virtual, erect image 15 cm behind mirror, object 10 cm in front. f=? | 1/f = 1/v + 1/u (v = +15, u = –10) | f = +30 cm |
| 8 | Image 40 cm in front, u = –20 cm, find f. | 1/f = 1/v + 1/u | f = –13.33 cm |
| 9 | m = –2, u = –15 cm, find v, f. | v = m × u ; f = (uv)/(u+v) | v = –30 cm, f = –10 cm |
| 10 | Convex mirror, f = +12 cm, object at 24 cm. Find v, m. | 1/f = 1/v + 1/u ; m = –v/u | v = +8 cm, m = +0.33 |
| 11 | R = 40 cm (convex). Find f. | f = R/2 | f = +20 cm |
| 12 | u = –10 cm, f = –15 cm. Find v. | 1/f = 1/v + 1/u | v = –30 cm |
| 13 | Image and object distance both 15 cm from mirror. Find type, f, m. | Use mirror formula ; object & image = –15 cm | Concave, f = –7.5 cm, m = –1 |
| 14 | m = +0.5, u = –20 cm, find v. | m = –v/u ⇒ v = –m×u | v = +10 cm (convex) |
| 15 | Concave mirror, f = –18 cm, u = –36 cm, find v. | 1/f = 1/v + 1/u | v = –36 cm |
| 16 | Convex mirror, f = +20 cm, object at 40 cm. Find location of image. | 1/f = 1/v + 1/u | v = +13.33 cm |
| 17 | Concave, object at f (u = –f), f = –12 cm. Find v. | 1/f = 1/v + 1/u | v = ∞ (image at infinity) |
| 18 | m = –0.75, u = –16 cm, find v, f. | v = m × u ; find f | v = +12 cm, f = +32 cm |
| 19 | Convex, object at 60 cm, f = +30 cm, find v, m. | 1/f = 1/v + 1/u ; m = –v/u | v = +20 cm, m = +0.33 |
| 20 | Object at 36 cm from concave, f = –18 cm, find v. | 1/f = 1/v + 1/u | v = –36 cm |
| 21 | Mirror forms image 3 times the object size (real), u = –20 cm, type? | m = –3, v = m×u | Concave, v = –60 cm |
| 22 | Concave, object at 24 cm, f = –8 cm, find v, m. | 1/f = 1/v + 1/u ; m = –v/u | v = –12 cm, m = –0.5 |
| 23 | Convex, image appears 12 cm behind, object at 18 cm, find f. | v = +12, u = –18 ; 1/f = 1/v + 1/u | f = +7.2 cm |
| 24 | u = –30 cm, m = –2, find v, f. | v = m×u ; f = (uv)/(u+v) | v = –60 cm, f = –20 cm |
| 25 | Convex, f = +25 cm, object at 50 cm, find v, m. | 1/f = 1/v + 1/u ; m = –v/u | v = +16.67 cm, m = +0.33 |
How to Master Mirror Numericals in Class 10 Physics
Follow these steps for best results:
- Use the formula with proper signs for u, v, and f.
- Write each step and show your working—it helps fetch full marks in exams.
- Draw a ray diagram if you get stuck; visualization really helps!
- After solving, interpret your result:
- Negative v: Image is real and on the object side (concave).
- Positive v: Image is virtual and behind the mirror (convex).
- Magnification (m):
- Negative m: Inverted image (real with concave mirror).
- Positive m: Upright image (virtual with convex mirror).
Expert Tip
Before your test, practice with this table daily and create your own variations of each question. You’ll master the sign conventions and never get confused with + or – again!
25 Mirror Formula Numericals for Class 10 With Solutions (PDF)
Want a PDF for offline revision?
[Download the full set of 25 numericals with answers here]
Conclusion
If you’re targeting top scores in Physics, consistent practice of these 25 mirror formula numericals will make your fundamentals rock solid. Stick to the formula, practice sign convention, and use this guide as your go-to mirror formula toolkit.
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