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King

  • 4 years ago

A convex mirror of focal length f produces an image half of the size of the object. What is the distance of the object from the mirror?

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  1. Aadarsh
    • 4 years ago
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    Use lens formula

  2. King
    • 4 years ago
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    1/v-1/u=1/f? that one?

  3. Aadarsh
    • 4 years ago
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    Object distance = -u image distance = v Height of image / height of object = v/u

  4. King
    • 4 years ago
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    hi/ho=-v/u

  5. King
    • 4 years ago
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    can u do it?

  6. Aadarsh
    • 4 years ago
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    yeah

  7. King
    • 4 years ago
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    yeah as in can u post the sol.?

  8. Aadarsh
    • 4 years ago
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    see now, h / 2h = v/u u = 2v

  9. King
    • 4 years ago
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    ok

  10. Aadarsh
    • 4 years ago
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    \[1divv -1divu =1divf\]

  11. King
    • 4 years ago
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    \[1/v-1/u=1/f\]

  12. Aadarsh
    • 4 years ago
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    |dw:1332858999064:dw|

  13. King
    • 4 years ago
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    why is it -2v?

  14. Aadarsh
    • 4 years ago
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    Becoz, in calculation, u should take object distance as negative. So, u becomes -u. And hence -2v

  15. King
    • 4 years ago
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    ok so u get 3/2v=1/f 2v=3f

  16. King
    • 4 years ago
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    after that?

  17. King
    • 4 years ago
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    aadarsh u der?

  18. Aadarsh
    • 4 years ago
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    Then, equate v = 3f / 2

  19. Aadarsh
    • 4 years ago
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    Substitute it in the formula: 1/v - 1/u = 1/f

  20. King
    • 4 years ago
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    i get u=3f

  21. Aadarsh
    • 4 years ago
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    U r correct

  22. King
    • 4 years ago
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    so that it?

  23. King
    • 4 years ago
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    answer is -f

  24. Aadarsh
    • 4 years ago
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    Yeah, soorry. Then don't use - 2v in the formula. use 2v. U may get it.

  25. King
    • 4 years ago
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    i get u=f

  26. King
    • 4 years ago
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    ok.thnx gtg!1

  27. King
    • 4 years ago
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    bye

  28. Aadarsh
    • 4 years ago
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    Oooooooooooo. Gtg. Byeeeeeeeeeee. ur result?

  29. King
    • 4 years ago
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    in what 9th .....94.83%

  30. King
    • 4 years ago
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    kk bye!

  31. Aadarsh
    • 4 years ago
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    Super. Congrtas. Ready for US trip?????????????

  32. King
    • 4 years ago
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    yup!

  33. Aadarsh
    • 4 years ago
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    PLz reply to my email. plzzzzzzzzzzz

  34. King
    • 4 years ago
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    ok

  35. Aadarsh
    • 4 years ago
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    Byeeeee

  36. salini
    • 4 years ago
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    @aadarsh, u have successfully completed 10th so tell me, can a convex mirror produce an image which is half of the object's height?

  37. Aadarsh
    • 4 years ago
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    Arre Shalini didi and king, I think I was in a dream while solving this question. I thought it to be a convex lens instead of a mirror. Here is the detailed answer. Sorry for mistake.

  38. Aadarsh
    • 4 years ago
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    Mirror Formula: 1/v + 1/u = 1/f And, h'/h = -v/u (magnification formula) So, given, h'/h = -v/u = 1/2............(i) So, u = -2v.......(ii) Now, 1/v + 1/(-2v) = 1/f Or, 1/2v = 1/f Or, f = 2v Or, f = 2v So, f = -u [From (ii)]

  39. salini
    • 4 years ago
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    u havent answered my question yet aadarsh can a convex mirror , produce an image which is half of the object's height? i wud like to add one thing here be very clear to visualise the ray diagrams for any lens or mirror b4 solving sum

  40. Aadarsh
    • 4 years ago
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    @salini akka, i think a convex mirror can produce an image half size of that of object, in some cases, when object is between infinity and pole of mirror.

  41. salini
    • 4 years ago
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    oh my! check ur 10th book aadarsh

  42. Aadarsh
    • 4 years ago
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    didi, its given that it will form a diminished, virtual and erect image. That's all na?????????

  43. salini
    • 4 years ago
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    ya so will it produce a half-sized image?

  44. Aadarsh
    • 4 years ago
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    not really. BUt can it not produce in some cases???????????????

  45. salini
    • 4 years ago
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    i am curious when? when our bible says no it is a no u know wat i mean by bible dont u?

  46. Aadarsh
    • 4 years ago
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    Yeah, "Bible" means Book. (NCERT) Can u plz say why it cannot?

  47. salini
    • 4 years ago
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    its the property of convex mirror to always form virtual diminished(not even the quarter of size of object)_ how? it was found by great ppl all we do is read them right?

  48. salini
    • 4 years ago
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    whenever u see a question related to lens or mirrors flash the image formation diagrams b4 the formula @king ur question is wrong

  49. Aadarsh
    • 4 years ago
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    How didi? question is wrong? See my process . Everything is correct. But u r true taht a convex mirror cannot form an half image image.

  50. salini
    • 4 years ago
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    :) see ur text book and read my last comment it will help u

  51. Aadarsh
    • 4 years ago
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    Yeah, u r rite didi. I was mad at the first itself.

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