q09-4350sol

# q09-4350sol - q = 0 in back of the mirror(b p = R = 2 cm or...

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PHY2054 Section 4350 Quiz 9: Ch 23 November 15, 2011 NAME UFID Show all your work step by step, in a readable way. 1. A ball is dropped from rest 5 . 00 m directly above the vertex of a concave mirror having a radius of 2 . 00 m and lying in a horizontal plane. (a) Describe the motion of the ball’s image in the mirror before and after the ball reaches the position 1 . 00 m above the vertex of the mirror. (1/5) (b) At what position(s) do the ball and its image coincide? (1/5) (c) At what time do the ball and its image coincide? (0.5/5) Solution: Problem 20. (a) i. From p = 5 cm to p = 1 cm : The real image moves from q = 1 . 25 cm to positive inﬁnity ( in front of the mirror ). ii. From p = 1 cm to p = 0 cm : The virtual image moves frmo negative inﬁnity to
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Unformatted text preview: q = 0 ( in back of the mirror ). (b) p = R = 2 cm or p = 0 cm . (c) For p = 2, t = 0 . 78(s). For p = 0, t = 1 . 01(s). 2. Two converging lenses having focal lengths of 10 . 0 cm and 20 . 0 cm are placed 50 . 0 cm apart, as shown in the ﬁgure. The ﬁnal image is to be located between the lenses, at the position indicated. (a) How far to the left of the ﬁrst lens should the object be positioned? (1.5/5) (b) What is the overall magniﬁcation of the system? (0.5/5) (c) Is the ﬁnal image virtual or real? (0.5/5) Solution: Problem 44. (a) p 1 = 13 . 18 cm. (b) M =-5 . 5. (c) virtual....
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