Question

T
Velocity of wave in a string is given by v =
where T is tension and u is mass per unit length
1
(m/ſ). If T = (30 0.9)N, m = (2.5 0.01) gm and I = (1 0.01), then calculate % error in v.
(A) 3.6%
(B) 1.8%
(C) 1.5%
(D) 3.0%

Answer 1

Explanation:

V⟹ MT H⟹m/L

Percentage error in M⟹100× MΔM⟹100 mΔΔ +100× LΔL⟹100× 2.50.1×100× 1.0000.001⟹4.1Percentage error in v⟹100× vΔΔ =100× 21 × TΔΔ +100× 21 ×4Δ4⟹100× 3.00.1 + 21 ×4.1=1.67+2.05=3.7