If y = 0.02 sin (30x 400t) (SI units) and if the mass density of the string on which the wave propagates is 0.005 kg/m, then the transmitted power is
a. 1.03 W.
b. 2.13 W.
c. 4.84 W.
d. 5.54 W.
e. 106 W.
[Ques. 2] If y = 0.02 sin (30x 400t) (SI units), the wave number is
a. 30 rad/m.
b. 30/2 rad/m.
c. 400/2 rad/m.
d. 400 rad/m.
e. 60 rad/m.
[Ques. 3] If y = 0.02 sin (30x 400t) (SI units), the angular frequency of the wave is
a. 30 rad/s.
b. 30/2 rad/s.
c. 400/2 rad/s.
d. 400 rad/s.
e. 40/3 rad/s.
[Ques. 4] If y = 0.02 sin (30x 400t) (SI units), the velocity of the wave is
a. 3/40 m/s.
b. 40/3 m/s.
c. 60/400 m/s.
d. 400/60 m/s.
e. 400 m/s.
[Ques. 5] If y = 0.02 sin (30x 400t) (SI units), the wavelength of the wave is
a. /15 m.
b. 15/ m.
c. 60 m.
d. 4.2 m.
e. 30 m.
[Ques. 6] If y = 0.02 sin (30x 400t) (SI units), the frequency of the wave is
a. 30 Hz.
b. 15/ Hz.
c. 200/ Hz.
d. 400 Hz.
e. 800 Hz.
[Ques. 7] The lowest A on a piano has a frequency of 27.5 Hz. If the tension in the 2.00-m string is 308 N, and one-half wavelength occupies the string, what is the mass of the wire?
a. 0.025 kg
b. 0.049 kg
c. 0.051 kg
d. 0.081 kg
e. 0.037 kg
[Ques. 8] Transverse waves are traveling on a 1.00-m-long piano string at 500 m/s. If the points of zero vibration occur at one-half wavelength (where the string is fastened at both ends), find the frequency of vibration.
a. 250 Hz
b. 500 Hz
c. 1000 Hz
d. 2000 Hz
e. 2500 Hz
[Ques. 9] A 100-m long transmission cable is suspended between two towers. If the mass density is 2.01 kg/m and the tension in the cable is 3.00 104 N, what is the speed of transverse waves on the cable?
a. 60 m/s
b. 122 m/s
c. 244 m/s
d. 310 m/s
e. 1500 m/s
[Ques. 10] A piano string of density 0.0050 kg/m is under a tension of 1350 N. Find the velocity with which a wave travels on the string.
a. 260 m/s
b. 520 m/s
c. 1040 m/s
d. 2080 m/s
e. 4160 m/s
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