5.96.(a) kmax = 2d/? = 1.0.105, (b) AX, = X/k = X2/2d = 5 pm.
00
5.97.
$
I(r)r dr.
o
5.98. b = ar2/(k?.a — r2) . 2.0 m.
5.99. X, = (r: — rD (a + b)I2ab = 0.60 gm.
5.100. (a) I
44, I
2/ 0; (b) I 7s 7 % IO•
5.101. (a) I
0; (b) I
I o12.
5.102. (a)I l ^ 946 /0, I2 = 114 10, 13 = 1 /1610, /4 = /2, I ;:,-;
(1 — 0231)2/ 0; (b) /5
25 /18'0, -18 'X' 9/4 '07 1.7 ';` .1 4946 .107 I 8 =
= /6, /
(1 + cp/II)2 /0. Here p is the angle covered by the
screen.
5.103. (a) h
(k
3/8)/(n — 1)
= 1.2 (k + 7/8) 1AM, (c) h = 1.2k or
= 0, 1, 2, . . .
5.104. h = (k + 3/4)/(n — 1),
(b) /max x 8/0.
5.105. Izm ir,
X, (k + 5/8)/(n — 1)
5.106. r= likXfbl(b — f) = 0.90 -VT
5.107. b' = b/T12 = 1.0 m.
5.108. (a) y' = yb/a = 9 mm;
= 0.1.0 mm.
5.109. f = abl(a
b) = 0.6 m. This value corresponds to the
principal focal point, apart from which there are other points as
well.
5.110. (a) h = 0.60 (2k + 1) pm; (b) h = 0.30 (2k
1) 1.1,m.
Here k = 0, 1, 2, . . .
5.111. (a) /fliagrnin
1.7,
(b) a = 2 (Ax)2/b(v2 — v1)2 =
= 0.711m, where v1 and v2 are the corresponding values of the parameter along Cornu's spiral.
5.112. Icentr.11 edge. ^ 2.6.
5.113. X ---- - (Ah)2/2b (v2 — v1)2 = 0.55 pm, where vl and v2 are
the corresponding values of the parameter along Cornu's spiral.
5.114. h
(k + 3/4)/(n — 1), where k = 0, 1, 2, . . .
5.115. / 2//1
1.9.
5.116. I
2.84.
5.117. /1 :
:
,- -:.-, 1 : 4 : 7.
5.118. I
I,.
5.119. Ie C'D (sine a)/a2, where a —(3tblX) sin 0; b sin 0 = kX,
k = 1, 2, 3, . . .
5.120. The condition for a maximum leads to the transcendental
equation tan a = a, where a = (Tcb/X) sin 0. The solution of this
equation (by means of plotting or selection) provides the following
root values: a1 = 1.433t, a2 = 2.46 t, a3 = 3.47n. Hence b sin Al =
= 1.43A,, b sin 02 = 2.46X, b sin 03 = 3.47k.
5.121. b (sin 0 — sin 00) = k?.; for k = + 1 and k = —1 the
angles 0 are equal to 33° and 27° respectively.
1.2 (k + 3/8) gm; (b) h =
1.2 (k + 3/4) gm. Here k =
where k = 0, 1, 2, . .
= 2.5 gm, where k = 2.
mm, where k= 1, 3, 5, ...
(b) hmin
abXID (a
b)
00
5.97.
$
I(r)r dr.
o
5.98. b = ar2/(k?.a — r2) . 2.0 m.
5.99. X, = (r: — rD (a + b)I2ab = 0.60 gm.
5.100. (a) I
44, I
2/ 0; (b) I 7s 7 % IO•
5.101. (a) I
0; (b) I
I o12.
5.102. (a)I l ^ 946 /0, I2 = 114 10, 13 = 1 /1610, /4 = /2, I ;:,-;
(1 — 0231)2/ 0; (b) /5
25 /18'0, -18 'X' 9/4 '07 1.7 ';` .1 4946 .107 I 8 =
= /6, /
(1 + cp/II)2 /0. Here p is the angle covered by the
screen.
5.103. (a) h
(k
3/8)/(n — 1)
= 1.2 (k + 7/8) 1AM, (c) h = 1.2k or
= 0, 1, 2, . . .
5.104. h = (k + 3/4)/(n — 1),
(b) /max x 8/0.
5.105. Izm ir,
X, (k + 5/8)/(n — 1)
5.106. r= likXfbl(b — f) = 0.90 -VT
5.107. b' = b/T12 = 1.0 m.
5.108. (a) y' = yb/a = 9 mm;
= 0.1.0 mm.
5.109. f = abl(a
b) = 0.6 m. This value corresponds to the
principal focal point, apart from which there are other points as
well.
5.110. (a) h = 0.60 (2k + 1) pm; (b) h = 0.30 (2k
1) 1.1,m.
Here k = 0, 1, 2, . . .
5.111. (a) /fliagrnin
1.7,
(b) a = 2 (Ax)2/b(v2 — v1)2 =
= 0.711m, where v1 and v2 are the corresponding values of the parameter along Cornu's spiral.
5.112. Icentr.11 edge. ^ 2.6.
5.113. X ---- - (Ah)2/2b (v2 — v1)2 = 0.55 pm, where vl and v2 are
the corresponding values of the parameter along Cornu's spiral.
5.114. h
(k + 3/4)/(n — 1), where k = 0, 1, 2, . . .
5.115. / 2//1
1.9.
5.116. I
2.84.
5.117. /1 :
:
,- -:.-, 1 : 4 : 7.
5.118. I
I,.
5.119. Ie C'D (sine a)/a2, where a —(3tblX) sin 0; b sin 0 = kX,
k = 1, 2, 3, . . .
5.120. The condition for a maximum leads to the transcendental
equation tan a = a, where a = (Tcb/X) sin 0. The solution of this
equation (by means of plotting or selection) provides the following
root values: a1 = 1.433t, a2 = 2.46 t, a3 = 3.47n. Hence b sin Al =
= 1.43A,, b sin 02 = 2.46X, b sin 03 = 3.47k.
5.121. b (sin 0 — sin 00) = k?.; for k = + 1 and k = —1 the
angles 0 are equal to 33° and 27° respectively.
1.2 (k + 3/8) gm; (b) h =
1.2 (k + 3/4) gm. Here k =
where k = 0, 1, 2, . .
= 2.5 gm, where k = 2.
mm, where k= 1, 3, 5, ...
(b) hmin
abXID (a
b)