For a cubic unit cell, sketch the following directions: [110], [121] and [133]
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For a cubic unit cell, sketch the following directions: [110], [121] and [133]
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- Find the number of significant figures in each of the following. (a) 61.8 ± 0.3 (b) 3.86 ✕ 109 (c) 2.80000 ✕ 10−6 (d) 0.0045State how many significant figures are proper in the results of the following calculations. (a) (106.7)(6.5)(46.210)(1.01) (b) (25.8)2 (c) (2.9 ✕ 10−19)(3712)In the figure a solid sphere of radius a = 2.40 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q, = + 6.98 fC; the shell has a net charge q2 = -q1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number Units (e) Number Units
- Just do from (e) till ( j)The figure is a section of a conducting rod of radius R₁ = 1.20 mm and length L = 13.00 m inside a thin-walled coaxial conducting cylindrical shell of radius R2 = 11.1R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.70 × 10-12 C; that on the shell is Q2 = -2.33Q1. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.33R2? What are (c) E and (d) the direction at r = 5.07R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? R R₁ (a) Number i Units (b) (c) Number i Units Q2 > >Please use one of the following formulas: F=-k∆d f=(1/2π)(√(k/m)) T=2π√(m/k) f=(1/2π)(√(g/L)) T=2π√(L/g) v=d/t v=λf fd=fs(v+vd)/(v-vs) f=1/T T=1/f v=4Lf v=2Lf f=(1/2L)√(FT/μ)
- In Figure (a), string 1 has a linear density of 2.08 g/m, and string 2 has a linear density of 4.84 g/m. They are under tension due to the hanging block of mass M = 677 g. Calculate the wave speed on (a) string 1 and (b) string 2. (Hint: When a string loops halfway around a pulley, it pulls on the pulley with a net force that is twice the tension in the string.) Next the block is divided into two blocks (with M, + M2 = M) and the apparatus is rearranged as shown in Figure (b). Find (c) M1 and (d) M2 such that the wave speeds in the two strings are equal. - String 1 String 2 Knot M (а) - String 1 String 2 M1 M2 (b)Simplify the expressions. (a) −(25 + 12) (b) −7 − (6 − 3)