This problem requires a geometric optics simulator: http://phet.colorado.edu/sim

Question

This problem requires a geometric optics simulator: http://phet.colorado.edu/simulations/sims.php?sim=Geometric_Optics

2. Set the Focal Length to 20 cm on the Ruler. This can be done by using the Curvature Radius and the Refractive Index sliders. Many different combinations will give the same Focal Length. It doesn’t matter which combination is used. Whichever one you use, record the values at the top of Table 2 for 20 cm.

3. Next, set the Object Distance to 10 cm; this is the first Object Distance in Table 2. This is done by aligning the right end of the Ruler against the lens centerline and then moving the SourcePoint to a position 10 cm to the left of the lens centerline. The Object Distance should be measured along the upper Principal Ray.

4. Measure the Image Distance by aligning the left end of the Ruler against the lens centerline and then measuring along the lower Principal Ray to the point of intersection of all the Principal Rays. Record this Distance.

Explanation / Answer

Focal Length of the lens, f = 20cm

Object distance, u = - 10cm, Negative sign indicates that the object is to the left of the lens

Image distance, v is obtained using the Lens Formula.

Lens Formula : 1/u + 1/f = 1/v

-> 1/v = 1/u + 1/f = 1/20 + 1/(-10) = 1/20-1/10 = -1/20 = 1/(-20) cm

hence, Image distance is given by v = -20cm

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