λ w a π w a λ Copyright @ Md Shah Jamal edubd24 `‡N¨i cv_K¨ 2m...
5
09| Zi½ (Waves) ‡gv: kvn& Rvgvj mnKvix Aa¨vcK (c`v_© weÁvb wefvM ) we G Gd kvnxb K‡jR XvKv ‡dvb: 01670 856105 (+T&T), 9125630, 9115369 09| Zi½ 1| evqy I cvwb‡Z 300 Hz K¤úv‡¼i GKwU kã Zi‡½i Zi½ ˆ`‡N¨ © i cv_© K¨ 4.18m| evqy‡Z k‡ãi †eM 350ms -1 n‡j cvwb‡Z k‡ãi †eM KZ? Avgiv Rvwb, 18 . 4 a w 18 . 4 f v f v a w f v f v a w 18 . 4 300 350 18 . 4 300 v w 300 1.1666666 18 . 4 w v .) Ans ( ms 1604 v 1 w 2| `yÕwU myikjvKvi K¤úv¼ h_vμ‡g 128Hz Ges 384Hz| evqy‡Z kjvKv `zÕwU n‡Z m„ó Zi½ ˆ`‡N© ¨i AbycvZ wbY© q Ki| Avgiv Rvwb, V = f 1 1 = f 2 2 1 2 2 1 f f λ λ 128 384 λ λ 2 1 (Ans.) 1 : 3 λ : λ 2 1 3| P I Q `yÕwU gva¨‡g k‡ãi †eM h_vμ‡g 300ms -1 Ges 350ms -1 | gva¨g `ywU‡Z k‡ãi Zi½ ˆ`‡N© ¨i cv_© K¨ 0.1m n‡j myi kjvKvi 50 K¤ú‡b kã Q gva¨‡g KZ`yi hv‡e? Avgiv Rvwb, V = f V f Q Q P P V λ V f Q Q λ 350 0.1 λ 300 Q Q λ 300 35 λ 350 (Ans.) 35m λ 50 Q 4| GKwU Pjgvb Zi‡½i mgxKiY t y = 5 Sin(200t1.57x) ; GLv‡b me KqwU ivwk Gm AvB GK‡K cÖ `Ë| Zi½wUi we¯Í vi, K¤úv¼, †eM I ch© vq Kvj wbY© q Ki| y = 5 Sin(200t1.57x) .............(1) cÖ `Ë mgxKiY .......(2) x) λ 2π t f Sin(2 π A y mgxKiY Av`k© Gi mv‡_ Zzjbv K‡i cvB, we¯Í vi, A = 5m 2f = 200 K¤úv¼, f = 200/2 Hz = 100 Hz 1.57 3.14 2 1.57 2π λ 1.57 λ 2π Zi½ ˆ`N© ¨, m Zi½ †eM, V = f 100 × 4 m /s = 400 m/s (Ans.) ch© vqKvj, (Ans) 0.01s s 100 1 f 1 T 5| evZv‡m `yÕwU myi kjvKvi Øviv m„ó k‡ãi Zi½ ˆ`N© ¨ h_vμ‡g 50cm Ges 70cm cÖ _g myi kjvKvi K¤úvsK 350Hz n‡j wØZxq myi kjvKvi K¤úv¼ KZ n‡e? Avgiv Rvwb, V = f 1 f 2 2 2 1 1 2 λ λ f f Hz 70 50 350 f 2 (Ans.) Hz 250 f 2 6| †Kvb myi kjvKv GKwU gva¨‡g 5cm ˆ`‡N© ¨i Ges 350ms -1 †e‡Mi Zi½ Dcbœ K‡i| Aci GKwU gva¨‡g Zi½ †eM hw` 332.5ms -1 nq Z‡e H gva¨‡g myi kjvKvi 100 K¤ú‡b kã KZ`yi hv‡e| Avgiv Rvwb, 2 2 1 1 λ V λ V f 2 λ 332.5 0.05 350 m 350 0.05 332.5 2 350 0.05 332.5 100 2 (Ans.) m 75 . 4 λ 100 2 7| †Kvb gva¨‡g 480Hz Ges 320Hz K¤úv‡¼i `yÕwU k‡ãi Zi½ ˆ`‡N© ¨i cv_© K¨ 2m n‡j gva¨‡g k‡ãi †eM KZ| Avgiv Rvwb, 2 1 2 2 f V f V 1 2 2 480 V 320 V GLv‡b, K¤úv¼, f 1 = 128Hz K¤úv¼, f 2 = 384 Hz 1 t 2 =? GLv‡b, k‡ãi †eM, V P =300ms -1 k‡ãi †eM,V Q =350ms -1 Zi½ ‰`N© ¨ cv_© K¨, Q P m P Q 50 Q = ? GLv‡b, Zi½ ‰`N© ¨, 1 = 50cm Zi½ ‰`N© ¨, 2 = 70cm K¤úvsK, f 1 = 350Hz K¤úvsK, f 2 = ? GLv‡b, K¤úv¼, f = 300Hz evqy‡Z k‡ãi †eM, v a = 350 ms -1 cwb‡Z k‡ãi †eM, V w = ? w a = 4.18 m GLv‡b, k‡ãi †eM, V 1 =350ms -1 Zi½ ‰`N© ¨ 1 = 5cm =0.05m k‡ãi †eM, V 2 =332.5ms -1 100 K¤ú‡b AwZμvšÍ `~iZ¡ 100 2 =? GLv‡b, K¤úv¼, f 1 = 480Hz K¤úv¼, f 2 = 320Hz m 2 λ λ 1 2 k‡ãi †eM, V=? Copyright @ Md Shah Jamal edubd24.com http://edubd24.com
Transcript of λ w a π w a λ Copyright @ Md Shah Jamal edubd24 `‡N¨i cv_K¨ 2m...
09| Zi½
(Waves)
‡gv: kvn& Rvgvj mnKvix Aa¨vcK (c`v_©weÁvb wefvM ) we G Gd kvnxb K‡jR XvKv
‡dvb: 01670 856105 (+T&T), 9125630, 9115369
09| Zi½
1| evqy I cvwb‡Z 300 Hz K¤úv‡¼i GKwU kã Zi‡½i Zi½
ˆ`‡N ©i cv_©K¨ 4.18m| evqy‡Z k‡ãi †eM 350ms-1 n‡j cvwb‡Z
k‡ãi †eM KZ?
Avgiv Rvwb,
18.4aw
18.4fv
fv aw
fv
fv aw 18.4
30035018.4
300vw
3001.166666618.4 wv
.)Ans(ms 1604v 1w
2| `yÕwU myikjvKvi K¤úv¼ h_vµ‡g 128Hz Ges 384Hz| evqy‡Z
kjvKv `zÕwU n‡Z m„ó Zi½ ˆ`‡N© i AbycvZ wbY©q Ki|
Avgiv Rvwb,
V = f11= f22
1
2
2
1
ff
λλ
128384
λλ
2
1
(Ans.) 1:3λ:λ 21
3| P I Q `yÕwU gva¨‡g k‡ãi †eM h_vµ‡g 300ms-1 Ges
350ms-1 | gva¨g `ywU‡Z k‡ãi Zi½ ˆ`‡N© i cv_©K¨ 0.1m n‡j
myi kjvKvi 50 K¤ú‡b kã Q gva¨‡g KZ yi hv‡e?
Avgiv Rvwb,
V = f
Vf
Q
Q
P
P VλVf
QQ λ350
0.1λ300
QQ λ30035λ350
(Ans.) 35mλ50 Q
4| GKwU Pjgvb Zi‡½i mgxKiY t
y = 5 Sin(200t1.57x) ; GLv‡b me KqwU ivwk Gm AvB
GK‡K cÖ Ë| Zi½wUi we Ívi, K¤úv¼, †eM I ch©vq Kvj wbY©q Ki|
y = 5 Sin(200t1.57x) .............(1) cÖ Ë mgxKiY
.......(2) x)λ2πtfSin(2πAy mgxKiY Av`k© Gi mv‡_
Zzjbv K‡i cvB,
we Ívi, A = 5m 2f = 200 K¤úv¼, f = 200/2 Hz = 100 Hz
1.57
3.1421.572πλ1.57
λ2π
Zi½ ˆ`N© , m Zi½ †eM, V = f100 × 4 m /s = 400 m/s (Ans.)
ch©vqKvj, (Ans) 0.01ss100
1f1T
5| evZv‡m `yÕwU myi kjvKvi Øviv m„ó k‡ãi Zi½ ˆ`N© h_vµ‡g 50cm Ges 70cm cÖ_g myi kjvKvi K¤úvsK 350Hz n‡j wØZxq myi kjvKvi
K¤úv¼ KZ n‡e?
Avgiv Rvwb,
V = f1f22
2
112 λ
λff
Hz70
50350f 2
(Ans.) Hz 250f 2
6| †Kvb myi kjvKv GKwU gva¨‡g 5cm ˆ`‡N© i Ges 350ms-1 †e‡Mi
Zi½ Dcbœ K‡i| Aci GKwU gva¨‡g Zi½ †eM hw` 332.5ms-1 nq Z‡e
H gva¨‡g myi kjvKvi 100 K¤ú‡b kã KZ yi hv‡e|
Avgiv Rvwb,
2
2
1
1
λV
λV
f
2λ332.5
0.05350
m350
0.05332.52
m350
1000.05332.5100 2
(Ans.) m 75.4λ100 2
7| †Kvb gva¨‡g 480Hz Ges 320Hz K¤úv‡¼i yÕwU k‡ãi Zi½
ˆ`‡N© i cv_©K¨ 2m n‡j gva¨‡g k‡ãi †eM KZ|
Avgiv Rvwb,
212
2fV
fV
12
2480V
320V
GLv‡b,
K¤úv¼, f1= 128Hz K¤úv¼, f2 = 384 Hz 1t2 =?
GLv‡b, k‡ãi †eM, VP=300ms-1 k‡ãi †eM,VQ=350ms-1
Zi½ ‰`N© cv_©K¨,
QPm PQ 50Q= ?
GLv‡b, Zi½ ‰`N© , 1= 50cm Zi½ ‰`N© , 2 = 70cm
K¤úvsK, f1 = 350Hz K¤úvsK, f2 = ?
GLv‡b,
K¤úv¼, f = 300Hz evqy‡Z k‡ãi
†eM, va = 350 ms-1
cwb‡Z k‡ãi †eM, Vw = ? wa = 4.18 m
GLv‡b, k‡ãi †eM, V1=350ms-1
Zi½ ‰`N© 1= 5cm =0.05m k‡ãi †eM, V2=332.5ms-1
100 K¤ú‡b AwZµvšÍ `~iZ¡
1002=?
GLv‡b,
K¤úv¼, f1= 480Hz K¤úv¼, f2 = 320Hz
m2λλ 12 k‡ãi †eM, V=?
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Zi½
2
2480320
V320V480
2480320V160
4803202V160
1604803202V
.)Ans(ms 1920V 1
8| †Kvb myi kjvKvi K¤úv¼ 700Hz, evqyi ZvcgvÎv 30°C n‡j
100 K¤ú‡b kã KZ yi hv‡e| 0°C ZvcgvÎvq k‡ãi †eM
332ms-1 )1(vv 0
30
27311332v
)109890109.01(332v
10989011.1332v 1ms76.349v
Avevi,
fv 70076.349
70076.349
70010076.349100
.)Ans( m96.49100
9| A gva¨‡g k‡ãi †eM B gva¨‡g k‡ãi †e‡Mi †P‡q 5 ¸Y †ewk|
B gva¨‡g GKwU k‡ãi Zi½ ˆ`N© 10cm n‡j A gva¨‡g Dr†mi
100 evi K¤ú‡b kã KZ`yi hv‡e?
Avgiv Rvwb,
B
B
A
A VVf
B
BAA V
V
V1.0V5
A
m5.0A
m5.0100100
(Ans.) m50100
10| 320 Hz K¤úv‡¼i myi kjvKv n‡Z cvwb‡Z I evqy‡Z Drcbœ Zi‡½i
Zi½ ˆ`‡N ©i cv_©K¨ 3.9m| evqy‡Z k‡ãi †eM 345ms-1 n‡j cvwb‡Z
k‡ãi †eM KZ?
Avgiv Rvwb,
9.3aw
9.3fv
fv aw
fv9.3
fv aw
3203459.3
320vw
3201.0781259.3 wv
.)Ans(ms 1593v 1w
11| `yÕwU myi kjvKvi K¤úv‡¼i cv_©K¨ 118 Hz| evqy‡Z kjvKv yÕwU ‡h
Zi½ m„wó K‡i, Zv‡`i GKwUi yÕwU c~Y© Zi½ ˆ`N© AciwUi wZbwU c~Y©
Zi½ ˆ`‡N© i mgvb| kjvKv ؇qi K¤úv¼ wbY©q Ki|
Hz118ff 21 Hz)118f(f 12
21 23 32
2
1
Avgiv Rvwb,
2211 ffV
1
1
1
2
2
1
f118f
32
ff
11 f2354f3 Hz354f1 I Hz236Hz)118354(f2
12| GKwU Zv‡ii Dc‡ Drcbœ AbycÖ ’ Zi‡½i
mgxKiY ,505.0
2sin5.0y
xt GLv‡b xGes y †mw›UwgUv‡i
Ges t †m‡K‡Û cÖKvk Kiv n‡q‡Q| Zi½wUi we Ívi, Zi½ ˆ`N© , K¤úvsK I
ch©vqKvj wbY©q Ki|
GLv‡b cÖ Ë mgxKiY:
505.02sin5.0y xt
502
5.02sin5.0y xt
‡K
Av`k© mgxKiY,
xfta 22siny Gi mv‡_ Zzjbv
K‡i cvB, we Ívi a=0.5cm,I HzHzf 25.0
1
I cm505011
.)(5.0211 AnsSec
fT
GLv‡b,
k‡ãi †eM, vo = 332ms-1
ZvcgvÎv, = 30ºC 100 = ?
GLv‡b, awi, k‡ãi †eM, VB=V k‡ãi †eM,VA=5V
Zi½ ‰`N© ,B=10cm=0.m 100A= ?
GLv‡b,
K¤úv¼, f = 320Hz evqy‡Z k‡ãi †eM, Va = 345 ms-1
cwb‡Z k‡ãi †eM, Vw = ? wa = 3.9m
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Zi½
313| 1m I 1.01m Zi½ ˆ`‡N©i `yÕwU kã Zi½ †Kvb M¨vmxq
gva¨‡g 6 †m‡K‡Û 20 wU exU Drcbœ K‡i| D³ M¨vmxq gva¨‡g
k‡ãi †eM wbY©q Ki|
Avgiv Rvwb,
λVf
11 Hz
1Vf1
Ges
Hz 1.01
V f λVf 2
22
Avevi, N = f1 f2
1.01V
1V
310
1.0111V1.01V
310
1.011
V 0.013
10
1ms0.0131.0110V
(Ans.) ms67.336V 1
14| 60cm I 60.5cm Zi½ ˆ`‡N©i yÕwU kã Zi½ †Kvb M¨vmxq
gva¨‡g 4 †m‡K‡Û 19 wU exU Drcbœ K‡i| D³M¨vmxq gva¨‡g k‡ãi
†eM wbY©q Ki|
Avgiv Rvwb,
λVf
11 Hz
60Vf1
Ges
Hz 60.5
V f λVf 2
22
Avevi, N = f1 f2
60.5V
60V
419
5.0606V0660.5V
419
5.0606
V 0.54
19
1s cm5.04
5.600619V
1s cm 34485V
(Ans.) s m85.344V 1
15| ‡Kvb †kªYx K‡ÿ k‡ãi ZxeªZv 10-8 Wm-2
n‡j k‡ãi ZxeªZv
†j‡ej †Wwm‡e‡j wbY©q Ki|
Avgiv Rvwb,
dB IIog10βo
l
12-
-8
1010og10β l
410 og 10β l
(Ans.) dB 40β
16| 20cm `xN© GKwU Zvi †Kvb GKwU myikjvKvi mv‡_ HK¨Zv‡b Av‡Q|
Uvb w ¡ b Ki‡j HK¨Zv‡b Avb‡Z KZ ˆ`‡N© i cÖ‡qvRb n‡e?
Avgiv Rvwb,
Ges μT
21f 1
11 l
μT
21f 2
22 l
cÖkœvbymv‡i, f1 = f2
μT
21
μT
21 2
2
1
1 ll
2
2T20T
l
2
2201
l
1.41420 2202 l
(Ans) Cm 28.282 l
17| 0.5m j¤v GKwU Zvi‡K 50N ej Øviv Uvbv nj| hw` Zv‡ii fi
0.005kg nq Z‡e Gi †gŠwjK K¤úv¼ wbY©q Ki|
Avgiv Rvwb,
μT
21l
f
Hz 0.0150
0.521
f
Hz 50000.52
1
f
(Ans.) 70.71Hz f
18| 25cm ‰`‡N© i GKwU Zvi 5kg-wt e‡ji Øviv Uvbv nj| ZviwU
†_‡K Drcbœ g~jmy‡ii K¤úv¼ wbY©q Ki| [ZviwUi 1wgUvi ˆ`‡N© i fi =
4.9 gm Ges g = 9.8ms-2]
Avgiv Rvwb,
μT
21l
f
Hz 104.99.85
25.021
3-
f
Hz 1000052.02
1
f
GLv‡b, Zi½ ‰`N© , 1m Zi½ ‰`N© , 1.01m
310
620Ν exU,
k‡ãi †eM, V= ?
GLv‡b, cÖgvY ZxeªZv, Io = 10-12Wm-2 ‡kªYx K‡¶i ZxeªZv, I=10-8Wm-2 ZxeªZv †j‡ej, ?
GLv‡b, Zv‡ii cÖv_wgK ˆ`N© , l1=20cm Zv‡ii cÖv_wgK Uvb, T1=T (awi) Zv‡ii ‡kl Uvb, T2=2T
Zv‡ii ‡kl ˆ`N© , l2 = ?
GLv‡b, Zv‡ii ˆ`N© , l = 25cm = 0.25m Zv‡ii Uvb, T = 5 kg wt. = 5×9.8N GKK ˆ`‡N© i Zv‡ii fi,
13 m kg 109.4μ K¤úv¼, f =?
GLv‡b, Zv‡ii ˆ`N© , l = 0.5m Zv‡ii Uvb, T = 50N GKK ˆ`‡N© i Zv‡ii fi,
1m kg 5.0
005.0μ
1m kg 01.0μ K¤úv¼, f =?
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Zi½
4(Ans.) Hz 200 f
19| `ywU GKB iKg Uvbv Zvi mg K¤úv‡¼i Avo K¤ú‡b Kw¤úZ
n‡”Q| GKwU Zv‡ii Uvb 2% e„w× K‡i Kw¤úZ Ki‡j cªwZ †m‡K‡Û
3 wU exU Drcbœ nq| Zvi `ywUi cÖviw¤¢K K¤úv¼ KZ?
Avgiv Rvwb,
1
2
1
2
TT
ff
T1.02T
ff
1
2
1.02ff
1
2
009950494.1ff
1
2
)1.......(f009950494.1f 12
Avevi, f2 – f1 = N 1.009950494f1 – f1 = 3
0.009950494f1 = 3
(Ans.) Hz 301.49 f 40.00995049
3f 11
Avevi, 12 f009950494.1f
(Ans.) 304.49Hz.49Hz301l 009950494.1f2
20| `ywU myikjvKv‡K GKB mg‡q kãvwqZ Ki‡j cÖwZ †m‡K‡Û 4 wU
exU Drcbœ nq| GKwU wbw ©ó Uvb Kiv Zv‡ii 96cm ˆ`‡N© i mv‡_
GKwU myikjvKv Ges 97cm ˆ`‡N© i mv‡_ Aci myikjvKv
HK¨ZvwbK nq| myikjvKv `yÕwUi K¤úv¼ wbY©q Ki|
l1 = 96 cm ˆ`‡N© i mv‡_ HK¨ZvwbK myikjvKvi K¤úv¼ awi f1
Hz
l2 = 97 cm ˆ`‡N© i mv‡_ HK¨ZvwbK myikjvKvi K¤úv¼ f2 =
(f1 – 4) Hz
KviY ˆ`N© †ekx n‡j ex‡Ui mgvb K¤úv¼ Kg nq|
Avgiv Rvwb,
f1l1 = f2l2 794)( 96 11 ff 794)( 96 11 ff
38897 96 11 ff
388 1 f
Hz 388 1 f Ges f2 =(f1 – 4) Hz = (388 – 4) Hz = 384 Hz (Ans.)
21| `yBwU m`„k Zvi HK¨Zv‡b Av‡‡Q| 0.36m ˆ`N© wewkó GKwU
Zvi 100kg IRb Øviv Uvbv †`Iqv Av‡Q| Aci ZviwU 220kg
IRb Øviv Uvbv †`Iqv _vK‡j Gi ‰`N© †ei Ki|
Avgiv Rvwb,
μT
21
μT
21 2
2
1
1
21
ll
f
f
2201100
36.01
2l
83.14101 36.01
2
l
)Ans( 0.534m m5339.0m10
83.1436.02 l
22| `yÕwU myi-kjvKv GK‡Î kãvwqZ Ki‡j Giv cÖwZ †m‡K‡Û 5 wU exU
m„wó K‡i| hw` G†`i GKwUi K¤úv¼ 275Hz nq Z‡e AciwUi K¤úv¼
KZ?
Avgiv Rvwb,
Nff 12 5275f 2
Hz 270 or 280f2
23| `yÕwU myi-kjvKv A I B GK‡Î kãvwqZ nIqvq cÖwZ †m‡K‡Û 5 wU
exU m„wó K‡i| A †Z LvwbKUv †gvg jvwM‡q IRb evov‡j exU msL¨v K‡g
hvq| B Gi K¤úv¼ 256Hz n†j A Gi K¤úv¼ KZ? Avgiv Rvwb,
Nff BA ‡h‡nZz A †Z †gvg jvwM‡q IRb evov‡j
exU K‡g| d‡j †gvg jvMv‡bvi c~‡e© A
Gi K¤úv¼ †ekx wQj| †gvg jvMv‡bvi
Kvi‡Y K¤úv¼ K‡g hvIqvq `yB myi
kjvKvi K¤úv‡¼i cv_©K¨ K‡g e‡j exU
K‡g| d‡j fA > fB
A_©vr fA = fB + N fA = 256 + 5
fA = 261 Hz (Ans.)
24| ‡Kvb K‡ÿi k‡ãi ZxeªZv 1×10-7 Wm-2
| k‡ãi ZxeªZv wظb n‡j
bZzb ZxeªZv †j‡ej wbY©q Ki|
Avgiv Rvwb,
dB II10logβ
o
22
12-
-7
2 1010210logβ
log200000 10β2
(Ans.) dB 01.35β2
25| 50cm I 51cm ˆ`‡N© wewkó GKgyL eÜ `ywU b‡j AM©vb b‡j cÖwZ
†m‡K‡Û 3 wU exU m„wó K‡i| evqy‡Z k‡ãi †eM wbY©q Ki|
Avgiv Rvwb,
1 gyL eÜ b‡j K¤úv¼
22
11 44 l
Vfl
Vf I
Avevi Avgiv Rvwb,
f1 f2 = N
GLv‡b, Zv‡ii ˆ`N© , l1 = 0.36m Zv‡ii Uvb, T1= 100 kgwt Zv‡ii Uvb, T2= 220 kgwt. K¤úv¼, f1 = f2
Zv‡ii ˆ`N© , l2=?
GLv‡b, exU, N = 5 K¤úv¼, f1 =275Hz
K¤úv¼, f2 =?
GLv‡b, exU, N = 5 K¤úv¼, fB =256Hz
K¤úv¼, fA =?
GLv‡b, Zv‡ii Uvb T1=T awi
Zv‡ii Uvb,
1002TTT2
T 02 .150
T5150TT
exU N=3 K¤úv¼, f1=?
GLv‡b, cÖgvY ZxeªZv,
Io = 10-12Wm-2 ‡kªYx K‡¶i ZxeªZv,
I1 = 1×10-7 Wm-2
wظb ZxeªZv, I2 = 2×10-7
Wm-2 bZzb ZxeªZv †j‡ej, ?
GLv‡b, b‡ji ˆ`N© , l1 = 0.5m
b‡ji ˆ`N© , l2 = 0.51m
exU, N =3 k‡ãi †eM, V=?
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Zi½
5
3l4
Vl4
V
21
351.04
V5.04
V
351.04
V5.04
V
351.05.050.051.0
4V
351.05.04
01.0V
01.051.05.043V
1ms 306V
26| wbw ©ó ˆ`‡N© i GKwU m‡bvwgUv‡ii Zvi wbw ©ó ej Øviv Uvbv
Av‡Q| hw` Uvbv ej Pvi¸b Ges GKB mv‡_ Zv‡ii ‰`N© w`¡ b Kiv
nq Z‡e K¤úv‡¼i wKiƒc cwieZ©b n‡e|
Avgiv Rvwb,
μT
21f 1
11 l
2
TμT
21f1
ll
Avevi, μT
21f 2
22 l
4
T2μ
4T22
1f2
ll
T24
2T
ff
2
1
ll
1:1f:f 21 A_©vr K¤úv‡¼i †Kvb
cwieZ©b n‡e bv|
27| GKwU Uvbv Zv‡ii ˆ`N© cwieZ©b bv K‡i Gi Uvb Pvi¸b Kiv nj|
Zv‡ii K¤úv‡¼i KZ cwieZ©b n‡e?
Avgiv Rvwb,
μT
21f 1
11 l
2
TμT
21f1
ll
Avevi, μT
21f 2
22l
2
T2μ
4T21f 2
ll
21
T22
2T
ff
2
1
l
l
12 f2f A_©vr K¤úv¼ wظb n‡q hv‡e|
28| GKwU myi-kjvKv 512Hz K¤úv‡¼i GKwU myi-kjvKvi mv‡_ 4 wU
exU Ges 514Hz K¤úv‡¼i Aci GKwU myi-kjvKvi mv‡_ 6wU exU Drcbœ
K‡i| myi-kjvKvwUi K¤úv¼ KZ?
g‡b Kwi myi kjvKvi K¤úv¼ = f|
cÖ_g k‡Z©, )1(..........4512 f
ØZxq k‡Z©, )2(..........6514 f
‡hvM K‡i, 1026 – 2f = 10
2101026
f .)Ans(Hz5082
1016 f
29| `yÕwU myi-kjvKv A I B GK‡Î kãvwqZ nIqvq cÖwZ †m‡K‡Û 5 wU
exU m„wó K‡i| A -Gi evû‡Z GKLÛ Zvi Rov‡j Avevi Zviv 5 wU exU
m„wó K‡i| B Gi K¤úv¼ 320Hz n†j A Gi K¤úv¼ KZ? Avgiv Rvwb,
Nff BA ‡h‡nZz A †Z Zvi Rwo‡q IRb
evov‡j exU c~‡e©i mgvb nq| d‡j Zvi Rov‡bvi
c~‡e© A Gi K¤úv¼ †ekx wQj|
d‡j fA > fB
A_©vr fA = fB + N fA = 320 + 5
fA = 325 Hz (Ans.)
GLv‡b,
Zv‡ii cÖv_wgK Uvb, T1=T (awi) Zv‡ii ‡kl Uvb, T2=4T Zv‡ii cÖv_wgK ˆ`N© , l1=l (awi) Zv‡ii ‡kl ˆ`N© , l2 = 2l f1t f2=?
GLv‡b,
Zv‡ii cÖv_wgK Uvb, T1=T (awi) Zv‡ii ‡kl Uvb, T2=4T Zv‡ii ˆ`N© , l1= l2 = l (awi) f2=? f1
GLv‡b, exU, N = 5 K¤úv¼, fB =320Hz
K¤úv¼, fA =?
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