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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
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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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