AIEEE Exam

Sinusoidal waves travel on four different strings,
all with the same tension. Three of the strings
have the same linear mass density, but the fourth
has a different linear mass density. Use the
mathematical forms of the waves, given below,
to identify the string with the different linear
mass density. In the expressions x and y are in
centimeters and t is in seconds -
(A) y(x, t) = (2 cm) sin(2x − 4t)
(B) y(x, t) = (2 cm) sin(4x − 10t)
(C) y(x, t) = (2 cm) sin(6x − 12t)
(D) y(x, t) = (2 cm) sin(8x − 16t)

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AIEEE Other Question

A certain object floats in fluids of density
(a) 0.9 ρ0 (b) ρ0
(c) 1.1ρ0
Which of the following statements is true ?
(A) the buoyant force of fluid (a) is greater than
the buoyant forces of the other two fluids
(B) the buoyant force of fluid (c) is greater than
the buoyant forces of the other two fluids
(C) the three fluids exert the same buoyant force
(D) the object displace the same volume of all
three fluids
Suppose the maximum speed of a particle
carrying a sinusoidal progressive wave is vs.
When the displacement of a point on the string is
half its maximum, the speed of the point is