S oblem Ten. Consider a solution to the wave equation given by s(x,t)= sin(ax-bt+6) where a ad b are positive constants with appropriate units. B.) Find the speed of the wave in terms of these constants. a (B) v= (C) v=b Smas a (A) v = a (A) 1-5b³p 2a (B) /= s b'p mus 9.) If this wave represents a longitudinal wave in a medium with a mass density p, find an expression for the bulk modulus. (A) B= b² a²p (B) B=b/p (E) B=ap (C) B=bp a 2a² (D) v= (C) 1 = sa'p 26 max (D) B= 0.) Find an expression for the associated intensity. It may be useful to use the double-angle formula: cos' (0)=+cos(20) a p Sm (E) v=S (D) 1-a²p 26² a (E) I= s b'p 2a

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Problem Ten. Consider a solution to the wave equation given by s(x,t)=sm sin(ax-bt+) where a
and bare positive constants with appropriate units. -
a
18.) Find the speed of the wave in terms of these constants.
(A) v = a
Smar
(B) v =
(A) /-b³p
2a
2/0
(B) B-bp
(C) v==
a
(B) /=
19.) If this wave represents a longitudinal wave in a medium with a mass density p, find an expression
for the bulk modulus.
(A) B=
b²
a²p
s b'p
2a²
bp
a
(C) B=b
(C) /=
(D) v=-
S
sa'p
2b
b
(D) B=
max
20.) Find an expression for the associated intensity. It may be useful to use the double-angle formula:
cos' (0) = + cos(20)
(D) /=
a p
(E) v=
sa p
26²
a
(E) B-p
b²
(E) I=
s b'p
2a
Transcribed Image Text:Problem Ten. Consider a solution to the wave equation given by s(x,t)=sm sin(ax-bt+) where a and bare positive constants with appropriate units. - a 18.) Find the speed of the wave in terms of these constants. (A) v = a Smar (B) v = (A) /-b³p 2a 2/0 (B) B-bp (C) v== a (B) /= 19.) If this wave represents a longitudinal wave in a medium with a mass density p, find an expression for the bulk modulus. (A) B= b² a²p s b'p 2a² bp a (C) B=b (C) /= (D) v=- S sa'p 2b b (D) B= max 20.) Find an expression for the associated intensity. It may be useful to use the double-angle formula: cos' (0) = + cos(20) (D) /= a p (E) v= sa p 26² a (E) B-p b² (E) I= s b'p 2a
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