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JEE MAIN 2020
08-01-20 S2
Question
A transverse wave travels on a taut steel wire with a velocity of v when tension in it is $2.06 \times 10^4 \mathrm{~N}$. When the tension is changed to T , the velocity changed to $\mathrm{v} / 2$. The value of T is close to
Select the correct option:
A
$30.5 \times 10^4 \mathrm{~N}$
B
$2.50 \times 10^4 \mathrm{~N}$
C
$5.15 \times 10^3 \mathrm{~N}$
D
$10.2 \times 10^2 \mathrm{~N}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
v = √(T / μ) ⇒ v₁ / v₂ = √(T₁ / T₂) ⇒ ½ = √(2.06 × 10⁴ / T₂) ⇒ T₂ = 2.06 × 10⁴ / 4 = 0.515 × 10⁴ N ⇒ T₂ = 5.15 × 10³ N
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