- #1

ben488

- 2

- 0

m = - q/p

1/f = 1/p + 1/q

I just need to show that they are equal, but im getting confused with the maths..

q= (1 - (q/p)) (1/(1/p + 1/q))

q= (1 - (q/p))(qp/(p+q)

q= (qp/p + q) - (q/p)(qp/(p+ q)

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- Thread starter ben488
- Start date

- #1

ben488

- 2

- 0

m = - q/p

1/f = 1/p + 1/q

I just need to show that they are equal, but im getting confused with the maths..

q= (1 - (q/p)) (1/(1/p + 1/q))

q= (1 - (q/p))(qp/(p+q)

q= (qp/p + q) - (q/p)(qp/(p+ q)

- #2

Chi Meson

Science Advisor

Homework Helper

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- 10

- #3

Doc Al

Mentor

- 45,424

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Good. Rearranging, this becomes:I just need to show that they are equal, but im getting confused with the maths..

q= (1 - (q/p)) (1/(1/p + 1/q))

q= (1 - (q/p))(qp/(p+q)

q= [(p-q)/p][qp/(p+q)] = [(p-q)/(p+q)]q

Well, looks like it's

Perhaps they meant to write: q = (1-m)f

- #4

Chi Meson

Science Advisor

Homework Helper

- 1,874

- 10

q= (1+m)f

is derived directly from the thin-lens and magnification equations, if you use m=q/p (no negative).

So the equation q=(1+m)f is a general equation (true for all real situations) not a specific equation, as long as you are using the non-negative convention for the magnification equation.

There is a problem with the question, as stated.

- #5

ben488

- 2

- 0

thanks so much for all your help, its great.

Ben

Ben

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