Irodov – Problems in General Physics

1.328. N = plQ 2 /nr 2 = 0.7 N•m. 1.329. F = pgh (S — s) 2 / = 6 N 1.330. (a) The paraboloid of revolution: z = (6) 2 /2g) r 2 , ...

(b) to — t B = (1 — y1— (v/c) 2 ) / 0 /v or tB—tA= (1+V 1— (v/c) 2 ) 10 /v. 1.353. (a) t (B)=1 0 1v, t (B') = (1 (^0) /v) -111 — ...

1.367. Taking into account that v = (w't/c) 2 , we get To — yi+d(tw, (^002) In [ .± 1 + ) 2 ] = 3.5 months. 0 1.368. m/mo 1/V2 ( ...

2.5. (a) p = (v (^1) + v 2 + v 3 ) RT/V = 2.0 atm; (b) M = v 2 M 2 v^3 1113)/(vi ± v^2 v^3 ) = 36.7 g/mol. 2.6. T (^) olli 012 — ...

2.40. The work in the adiabatic process is n = (iv - -1)/(y — 1) In n = 1.4 times greater. 2.41. T = To [(71 + 1) 2 /401-1)/ 2. ...

2.59. (a) T (V — b)Ricv = const; (b) C p —CV — (^) I-2a (V — RTV 3 • 2.60. AT= vaV 2 (y-1) 3.0 K. Rv, (V„-{-v,) 2.61. Q = Oa (V ...

2.87. T — 2k (i mAvN m 0)2 ) — 0.37 kK. 2.88. v = 3kT 1n (m2/m1) =1.61 km/s. M2 — 1 2.89. T = 113 mv 2 1k. 2.90. dN/N = (-72akT ...

2.112. (a) dN= (2nno/a^3 /^2 ) e-UMT V U dU; (b) Up, =^1 /^2 kT. 2.113. In the latter case. 2.114. (a) II= 1 — ni--? = 0.25; (b) ...

2.135. 152-S1=-• vR (In a yin^ =1.0 J/K. 2.136. AS = (n '^ (n-1) ( OR v —1) In T. 2.137. AS —v(+1).R v^ ln a 46 J/K. 71 2.138. V ...

2.166. R = 2a/pgh = 0.6 mm. 2.167. x = //(1 pod/4a) = 1.4 cm. 2.168. a = [pgh poll(1 — h)] d/4 cos 0. 2.169. h = 4a/pg (d 2 — d ...

2.201. (a) Vmax=--3bmIM =5.0 1; (b) Pmax= a/27b^2 = 230 atm. 2.202. T„ = 8 / 27 a/bR = 0.30 kK, Pcr = i/3 MTh = 0.34 g/cm^3. 2.2 ...

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 ...

2iR 3 / 2 (Tr —T1/2) 2.252. q — o,„_ =40 W/m 2 , where i = 3, d is the 9n"'"lclaNA JIM effective diameter of helium atom. 2.253. ...

pot 38 o and E 3.16. E = — 1 / 3 ar/e 0. 3.17. E = — 1 / 3 ka 0 /8 0 , where k is the unit vector of the z axis with respect to ...

3.39. E -----17E;. + E,23 — 43 , 8 Pors yi+ 3 cost 0 , where E,. is the radial component of the vector E, and Ee is its componen ...

3.45. cp ;--.:.: -I- --:r/ .-- - (1 x ) , E,•,=:-.1 aiR2 ,, If xR, 2e 0 1 1 s^2 -^1 -^112 2e^0 (x^2 + R^2 )3," ' then cp ,-...z. ...

that charge and parallel to the plates, the charges ql and q^2 remain, obviously, unchanged. What changes is only their distribu ...

Fig. 21. Fig. 22. 1 3.84. (a) E 1 = 2sE 0 /(e + 1), E^2 = 2E^0 /(e + 1), D 1 = D2 = 2860 E 0 /(e + 1); (b) E (^1) = Eo, E2 = EVE ...

3.105. C = 4asoa/In (R 2 /R 1 ). 3.106. When siRiElm = 8 2R2E2m.• 3.107. V = (^) [ln (R2/R1) ( 8 1/ 8 2) In (R3/R2)1 3.108. C 2T ...

3.135. (a) W = 3q 2 /20ne^0 R; (b) W 1 /W^2 = 1/5, 3.136. W = (q^2 /8ne^0 e) (1/a — 1/b) = 27 mJ. 3.137. A = (018218 0 ) (11R 1 ...