Question

3.
A transverse wave travels on a taut steel wire with a
velocity of v when tension in it is 2.06 x 104 N. When the
tension is changed to T, the velocity changed to v/2. The
value of T is close to:
(1) 2.50 x 104 N
(2) 5.15 x 103 N
(3) 30.5 x 104 N
(4) 10.2 x 102N

Answer 1

Answer:

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Explanation:

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Answer 2

Answer:

The value of T is close to: (2) 5.15 x 10³ N.

Explanation:

Step 1: The direction of a person or object's movement is defined by its velocity. In its basic form, speed is a scalar number. In essence, velocity is a vector number. It is the speed at which distance changes. It is the displacement shift rate.Velocity can be defined as the rate at which something travels in a specific direction. as the speed of a vehicle driving north on a highway or the speed at which a rocket takes off.

Step 2: Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a route. In other words, velocity is a vector, whereas speed is a scalar number.When an object is moving, its velocity is the rate at which it is changing location as seen from a specific point of view and as measured by a specific unit of time. The vector quantity velocity (v) gauges displacement over time (or change in position, s).

Velocity of sound in a medium v $=\sqrt{\frac{T}{\mu}} \mathrm{v} \propto \sqrt{\mathrm{T}} \Rightarrow \frac{\mathrm{v}_1}{\mathrm{v}_2}=\sqrt{\frac{\mathrm{T}_1}{\mathrm{~T}_2}}$

$Given,\mathrm{T}_1=2.06 \times 10^4 \mathrm{~N} \mathrm{v}_2=\frac{\mathrm{v}}{2} \mathrm{v}_1=\mathrm{v} \frac{\mathrm{v}}{\mathrm{v} / 2}=\sqrt{\frac{2.06 \times 10^4}{\mathrm{~T}}} 4=\frac{2.06 \times 10^4}{\mathrm{~T}} \mathrm{T}$

$=.515 \times 10^4 \mathrm{~N}$

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