A 0.54 cm high object is placed 8.5 cm in front of a diverging lenswhose focal l

Question

A 0.54 cm high object is placed 8.5 cm in front of a diverging lenswhose focal length is -7.5 cm. What is the height of theimage?

I use m=-d_i/d_o, where m is magnification. To find m use the lensequation 1/f=1/d_i+1/d_o and solve it for d_i. That will giveme the m and then I just multiply the m*h_o to get theheight image distance. idk if if my algebra waswrong when i solve for d_i but i am getting the problemwrong. i used d_i = 1/(1/f -1/d_o) Can someone plz help mewith this problem?

A 0.54 cm high object is placed 8.5 cm in front of a diverging lenswhose focal length is -7.5 cm. What is the height of theimage?

I use m=-d_i/d_o, where m is magnification. To find m use the lensequation 1/f=1/d_i+1/d_o and solve it for d_i. That will giveme the m and then I just multiply the m*h_o to get theheight image distance. idk if if my algebra waswrong when i solve for d_i but i am getting the problemwrong. i used d_i = 1/(1/f -1/d_o) Can someone plz help mewith this problem?

I use m=-d_i/d_o, where m is magnification. To find m use the lensequation 1/f=1/d_i+1/d_o and solve it for d_i. That will giveme the m and then I just multiply the m*h_o to get theheight image distance. idk if if my algebra waswrong when i solve for d_i but i am getting the problemwrong. i used d_i = 1/(1/f -1/d_o) Can someone plz help mewith this problem?

Explanation / Answer

Given :              Object distance (u) = 8.5 cm               Focal length (f) = - 7.5 cm From Lens maker's formula we have :                1/ f    = 1/ u + 1 / v         or    1 / v =   1 / f -1 /u                         =    - 1 / 7.5   - 1 / 8.5                v    =   -3.98   cm            We know that :                  Magnification (M) = - v /u                                               = 3.98 / 8.5                                               = 0.468           But       M    = - hi / ho               or     hi   =   M *   ho                              =   0.468   * 0.54 cm                               =  -0.253   cm Hope this helps u!

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