Judge the statements below in true (T) or false (F): a) ( ) It is known that mechanical waves, which need a material medium to propagate, do not carry matter, but carry energy. In this case, visa that there is no transport of matter, it is correct to say that when such waves travel in a material medium, the particles of this medium remain in their positions of balance. b) ( ) A standing wave, of amplitude A, in a vibrating string, is described by a certain periodic function y(x,t). In this case, it is correct to say that the acceleration maximum string particles occur at points where their velocity is maximum. c) ( ) Imagine two waves with amplitudes equal to A, which differ only by one phase constant β, are traveling in opposite directions on a string and, superimposes generating a standing wave. In this case, if β = 1800 all points of will be at rest.

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Chapter1: Units, Trigonometry. And Vectors
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Judge the statements below in true (T) or false (F):

a) ( ) It is known that mechanical waves, which need a material medium to
propagate, do not carry matter, but carry energy. In this case, visa
that there is no transport of matter, it is correct to say that when such waves travel in
a material medium, the particles of this medium remain in their positions of
balance.
b) ( ) A standing wave, of amplitude A, in a vibrating string, is described by
a certain periodic function y(x,t). In this case, it is correct to say that the acceleration
maximum string particles occur at points where their velocity is
maximum.
c) ( ) Imagine two waves with amplitudes equal to A, which differ only by one
phase constant β, are traveling in opposite directions on a string and,
superimposes generating a standing wave. In this case, if β = 1800
all points of
will be at rest.
d) ( ) The average rate of transmission of energy, along a rope, through
a transverse standing wave is always null.
e) ( ) A rope of length L, with both ends fastened, is subject to
a voltage F. The string is set to vibrate. So, we can say that how much
the greater the F, the greater the period of its fundamental resonant frequency.

Expert Solution
Step 1

a) All mechnaical waves require a medium to travel and in these waves only energy gets tranferred the matter just oscillates at one position.

b) Acceleration is maximum when velocity is minimum.

 

c) The net resultant wave when two waves combine is given by A=A12+A22+2A1A2cos(theta) where theta is phase difference.

 

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