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Hints and Solutions
1) 7 12) Halved
2) 3 13) vΔl
2l 2
3) 5
14) 3 : 8
4) 1
15) 200 m/s
5) Here, l = 1m, m = 5 × 10 −4 kg, o
T = 20 N −− −−−− − 16) 819 C
1
We have, v = 2l √ T μ = 1 √ 20 −4 17) H 2
−−−−− − 2 2(1) 5×10 18) −249.7 o C
= 1 √ 4 × 10 4 = 2×10 = 10 2
2 2 19) 1 : 1
= 100 Hz
20) i - ac, ii - bd, iii - ac, iv - bd
6) 20 cm 21) λ = π /2
y o
7) 3π/2
22) f
8) Same as that of the individual waves
23) 320 m/s, 80 Hz
9) λ = 1.21A o
24) 660 Hz
10) 2 : 1 25) kA
11) −1
[ 1 + 1 + 1 ]
v 1 v 2 v 3
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