58 through 67 GO 61 SSM 59 Lenses with given radii . Object O stands in front of a thin lens, on the central axis. For this situation, each problem in Table 34-7 gives object distance p , index of refraction n of the lens, radius r 1 of the nearer lens surface, and radius r 2 of the farther lens surface. (All distances are in centimeters.) Find (a) the image distance i and (b) the lateral magnification m of the object, including signs. Also, determine whether the image is (c) real (R) or virtual (V), (d) inverted (I) from object O or noninverted (NI), and (e) on the same side of the lens as object O or on the opposite side. Table 34-7 Problem 58 through 67: Lenses with Given Radii. See the setup for these problems. p n r 1 r 2 (a) i (b) m (c) R/V (d) I/NI (e) Side 58 +29 1.65 +35 ∞ 59 +75 1.55 +30 –42 60 +6.0 1.70 +10 –12 61 +24 1.50 –15 –25 62 +10 1.50 +30 –30 63 +35 1.70 +42 +33 64 +10 1.50 –30 –60 65 +10 1.50 –30 +30 66 +18 1.60 –27 +24 67 +60 1.50 +35 –35
58 through 67 GO 61 SSM 59 Lenses with given radii . Object O stands in front of a thin lens, on the central axis. For this situation, each problem in Table 34-7 gives object distance p , index of refraction n of the lens, radius r 1 of the nearer lens surface, and radius r 2 of the farther lens surface. (All distances are in centimeters.) Find (a) the image distance i and (b) the lateral magnification m of the object, including signs. Also, determine whether the image is (c) real (R) or virtual (V), (d) inverted (I) from object O or noninverted (NI), and (e) on the same side of the lens as object O or on the opposite side. Table 34-7 Problem 58 through 67: Lenses with Given Radii. See the setup for these problems. p n r 1 r 2 (a) i (b) m (c) R/V (d) I/NI (e) Side 58 +29 1.65 +35 ∞ 59 +75 1.55 +30 –42 60 +6.0 1.70 +10 –12 61 +24 1.50 –15 –25 62 +10 1.50 +30 –30 63 +35 1.70 +42 +33 64 +10 1.50 –30 –60 65 +10 1.50 –30 +30 66 +18 1.60 –27 +24 67 +60 1.50 +35 –35
58 through 67 GO 61 SSM 59 Lenses with given radii. Object O stands in front of a thin lens, on the central axis. For this situation, each problem in Table 34-7 gives object distance p, index of refraction n of the lens, radius r1 of the nearer lens surface, and radius r2 of the farther lens surface. (All distances are in centimeters.) Find (a) the image distance i and (b) the lateral magnification m of the object, including signs. Also, determine whether the image is (c) real (R) or virtual (V), (d) inverted (I) from object O or noninverted (NI), and (e) on the same side of the lens as object O or on the opposite side.
Table 34-7Problem 58 through 67: Lenses with Given Radii. See the setup for these problems.
Problem 31.66 3 of 3 Review Introduction Consider current I passing through a resistor of radius r , length L , and resistance R .
Part A Determine the electric field at the surface of the resistor. Assume that the electric field is uniform throughout, including at the surface. Express your answer in terms of some, all, or none of the variables I , R , L , r . E =
Part B Determine the magnetic field at the surface of the resistor. Assume that the electric field is uniform throughout, including at the surface.
Express your answer in terms of some, all, or none of the variables I, R, L, r, and the constants π, μ0.
Part C Determine the strength of the Poynting vector at the surface of the resistor.
Express your answer in terms of some, all, or none of the variables I, R, L, r, and the appropriate constants.
Part D
Determine the flux of the Poynting vector (i.e., the integral of S⃗ ⋅dA⃗ ) over the surface of the resistor.
Express your answer in terms of some, all, or none of the…
Steel train rails are laid in 15.0-m-long segments placed end to end. The rails are laid on a winter day when their
temperature is -1.0 °C.
Part A
How much space must be left between adjacent rails if they are just to touch on a summer day when their
temperature is 34.0°C?
Express your answer to two significant figures and include the appropriate units.
◎
Α
D= 0.0072
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m
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Part B
If the rails are originally laid in contact, what is the stress in them on a summer day when their temperature is
34.0°C?
Express your answer using two significant figures. Enter positive value if the stress is tensile and negative
value if the stress is compressive.
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Constants
A glass flask whose volume is 1000.00 cm³ at 0.0°C is completely filled with mercury at this temperature. When flask
and mercury are warmed to 54.5 °C, 8.75 cm³ of mercury overflow.
Part A
If the coefficient of volume expansion of mercury is 18.0 × 10-5 K-1, compute the coefficient of volume expansion
of the glass.
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II
=
(C°)-1
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