The equation of simple harmonic wave produced in the string under tension 0.4 N is given by y = 4sin (3x + 60t) m. The mass per unit length of the string is (a) 10⁻³ kg m⁻¹ (b) 10⁻⁵ kg m⁻¹ (c) 10⁻³ g cm⁻¹ (d) 10⁻⁵ g cm⁻¹

Answer: (a). v = (ω)/(k) = 60/3 = 20 m/s μ = T/v² = (0.4)/(400) = 10⁻³ kg m⁻¹ So the answer is (a) 10⁻³ kg m⁻¹.

The equation of simple harmonic wave produced in the string under… | MHT CET 2021 (21 Sep, Shift 2)

Q77MHT CET 2021 · 21 SEP · SHIFT 2Medium

Progressive Wave Equation

The equation of simple harmonic wave produced in the string under tension $0.4\text{ N}$ is given by $y = 4\sin(3x + 60t)\text{ m}$ . The mass per unit length of the string is

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Answer: (a)

$v = \frac{\omega}{k} = \frac{60}{3} = 20\text{ m/s}$
$\mu = \frac{T}{v^2} = \frac{0.4}{400} = 10^{-3}\text{ kg m}^{-1}$
So the answer is (a) $10^{-3}\text{ kg m}^{-1}$ .

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