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Can someone please explain this to me?? Thanks! I\'ll give points for explainati

ID: 1304168 • Letter: C

Question

Can someone please explain this to me?? Thanks! I'll give points for explaination

During a laboratory experiment with an object placed in front of a concave mirror, the
image distance is q is determined for several different values of object distance p. How
might the focal length f of the mirror be determined from a graph of the data?


(b) plot q versus p; slope = 1/f
(c) plot 1/p versus 1/q; y-intercept = 1/f
(d) plot q versus p; y-intercept = 1/f
(e) plot q versus p; y-intercept = f
(f) plot 1/p versus 1/q; slope = 1/f

Explanation / Answer

1/f= 1/do + 1/di (Mirror Equation)

do= distance of object from mirror = p

di= distance of image from mirror = q

1/f = 1/p + 1/q

When the object is kept at infinity image will be formed at focus, This is a property of mirrors

Lets plot 1/p (on x-axis) vs 1/q (on y-axis). In the case of object at infinity, 1/p =0, then from the above equation

1/f=1/q which is the y intercept

Therefore the answer is c