1. A 12-mm-high object is 10 cm from a converging lens with focal length 17 cm.

Question

1. A 12-mm-high object is 10 cm from a converging lens with focal length 17 cm. (Hint:
Draw a ray diagram to double-check your calculations and image type.)
(a) Where is the image and how far is it from the lens?
(b) What is the height of the image?
(c) What type of image is it and why?

2. A constant counterclockwise current passes through the coil of a
solenoid. A loop of wire is steadily lowered, eventually encircling the solenoid. Viewed from
above, the induced current in the loop is (check all that apply):
(a) clockwise when the loop is above the solenoid.
(b) zero at the instant that the loop is at the midpoint of the solenoid.
(c) clockwise when the loop is below the solenoid.

3. A high-speed centrifuge is rotating at a constant frequency of 2000 Hz. What is the magnitude
of the potential dierence between the center and the tip of the centrifuge's arm of length
1:2 m if a uniform magnetic eld of strength 2:5 T passes vertically through its plane of
rotation?

Explanation / Answer

for converging lens, 1/v - 1/u = 1/f here u = -10 cm, y = 12 mm , f = 17 cm A ) v = fu/f+u v = 17*-10/7 v = -24.28 cm and is formed on the left side of the lens. B) m = - v/u = y'/y m =24.28/10 m = 2.428 y' = 2.428*12 y' = 29.14mm C)it is inverted image D) (b) zero at the instant that the loop is at the midpoint of the solenoid.

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