Question 130: Waves

Question

A transverse wave travels on a taut steel wire
with a velocity of v when tension in it is
2.06 × 10
4
N. When the tension is changed to
T, the velocity changed to v/2. The value of T
is close to :

Accepted Answer

$$v = \sqrt {{T \over \mu }} $$
$$ 	herefore $$ $${{{v_1}} \over {{v_2}}} = \sqrt {{{{T_1}} \over {{T_2}}}} $$
v
1
= v, v
2
= $${v \over 2}$$
$$ \Rightarrow $$ $${v \over {{v \over 2}}} = $$ $$\sqrt {{{2.06 	imes {{10}^4}} \over {{T_2}}}} $$
$$ \Rightarrow $$ T
2
= $${{{2.06 	imes {{10}^4}} \over 4}}$$ = 5.15 ÃÂ 10
3
N

Answer

30.5 × 10
4
N

Answer

2.50 × 10
4
N

Answer

10.2 × 10
2
N

Answer

5.15 × 10
3
N

Waves

A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06 × 10 4 N. When the tension is changed to T, the velocity changed to v/2. The value of T is close to :

Choose the correct answer: