Irodov – Problems in General Physics

(Joyce) #1
2.219. AS = q1111T 2 -i-- CI, in (T 2 /T 1 ).

2.220. (a) (^) 0.37; (b) i1 0.23.
2.221. X, = A//ln 1.
2.222. (a) P = e-at; (b) (t) = 1/a.
2.223. (a) X. = 0.06 p,m, ti = 0.13 ns; (b) X = 6 Mm, i = 3.8
hours.
2.224. 18 times.
2.225. X = (221./VA/3b) 2 / 3 (kTolVITP0) = 84 nm.
2.226. v = 3td 2 poN AY 2T/MRT^0 = 5.5 GHz.
2.227. (a) 0.7 Pa; (b) 2.10 14 cm-3, 0.2 p.m.
2.228. (a) v =1/- 2 - xt den (v) = 0.74 • 10'°
(b) v = 1 /2 1/-2n d 2 n 2 (v) 1.0 X 10 29 s-1 • cm-3, where n = po/kTo,
8RTITEM.
2.229. (a) = const, v oc 117'; (b) X oc T, v c 1/j/T.
2.230. (a) X, = const, v increases .1777, times; (b) X, decreases n
times, v increases n times.
2.231. (a) X oc V, v oc V-6 15 ; (b) X oc p-5/Y, v oc p°1 7 ; (c) oc
oc T-5/ 2 , v cc T 3.
2.232. (a) ) cc V, v oc V-(n+^1112 ; (b) X cc p-1/n, v cc p(n+^1 )/^2 n;^
(c) k cc T^1 /(^1 - -n), v oc
T(ni-1)/2(n-1)^.
2.233. (a) C = 1 / 4 R (1 + 2i) = 23 J/(K•mol); (b) C
112 R (i + 2) = 29 J/(K •mol).
2.234. n = noe-t/t, where T.= 4V /S (v), (v)=-1/ 8RTIaM.
2.235. Increases (1 -I- '0/(1 H-1/j) times.
2.236. Increases a 3 /f3 = 2 times.
2.237. (a) D increases n times, = const; (b) D increases
n 3 / 2 times, rl increases V n times.
2.238. D decreases n 4 / 5 6.3 times, 11 increases ni/ 5 1.6 times.
2.239. (a) n -- 3; (b) n = 1; (c) n = 1.
2.240. 0.18 nm.
2.241. dAr/dHe = 1.7.
2.242. N 1 2wriaiR 3 /AR; p =^ kTInclznAR = 0.7 Pa.
2.243. rl = (1/R^2 , — 1/4 N^1 /4no).
2.244. N = 1 / 2 wrio)a 4 /h.
2.245. N ='1 3 (oa 4 p aMI2RT.
2.246. aa
(^4) M i PI —Pi
Ix = (^) HIRT /
2.247. T (^) x2T2112)1(x1ll1 x2 8 2).
2.248. x = (1 (^1) /2)/(i1ix1 4- 12/x2).
2.249. T (x) = T 1 (T 2 1T 1 ) 4 ; q = (all) in (T2/T1)-
2.250. AT = (AT) 0 e-c", where a = (1/C 1 + 1/C 2 ) Sx//.
2.251. T = T^1 {1 (x/l) [(T^2 17' 1 ) 312 — 11) 2 /^3 , where x is the dis-
tance from the plate maintained at the temperature Ti.
20-9451

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