A given rope is attached to the ceiling and is completely taut due to the weight of a block of mass M attached to its other end. When you touch the rope, you notice that waves of velocity V propagate through it. Next, you immerse 1/3 of the total volume of the block in a liquid of unknown density. When you touch the rope again, you notice that the waves propagate with half the previous speed. The density of the liquid relative to that of the block is: a) 0.75 b) 2.0 c) 0.33 d) 2.75 e) 1.75 f) 3.25 g) 1.33 h) 2.25
A given rope is attached to the ceiling and is completely taut due to the weight of a block of mass M attached to its other end. When you touch the rope, you notice that waves of velocity V propagate through it. Next, you immerse 1/3 of the total volume of the block in a liquid of unknown density. When you touch the rope again, you notice that the waves propagate with half the previous speed. The density of the liquid relative to that of the block is:
a) 0.75
b) 2.0
c) 0.33
d) 2.75
e) 1.75
f) 3.25
g) 1.33
h) 2.25
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use the following values whenever necessary:
Acceleration of gravity g = 9.8 m/s².
Density of water ρ = 1000 kg/m³
Atmospheric pressure: pₐₜₘ = 101325 Pa
Refractive index of air nₐᵣ = 1
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