JEE Main 2022 · 30 Jun · Shift 1 · Physics Q42

← JEE Main 2022 · 30 Jun · Shift 1

PhysicsSingle correct+4 / -1Question 42 of 90

Which of the following equations correctly represents a travelling wave having wavelength $\lambda=4.0$ cm, frequency $\nu=100$ Hz and travelling in positive $x$ -axis direction ?

y=A\sin\left[\left(0.50\pi\text{ cm}^{-1}\right)x-\left(100\pi\text{ s}^{-1}\right)t\right]

y=A\sin2\pi\left[\left(0.25\text{ cm}^{-1}\right)x-\left(50\text{ s}^{-1}\right)t\right]

y=A\sin\left[\left(\dfrac{2\pi}4\text{ cm}^{-1}\right)x-\left(\dfrac{2\pi}{100}\text{ s}^{-1}\right)t\right]

y=A\sin\pi\left[\left(0.5\text{ cm}^{-1}\right)x-\left(200\text{ s}^{-1}\right)t\right]

Answer and worked solution

Official answer: D

Wave numbers. $k=\frac{2\pi}4=0.5\pi$ cm $^{-1}$ , $\omega=200\pi$ s $^{-1}$ : $y=A\sin\pi(0.5x-200t)$ .

(D)

Topics:Wave equation and progressive waves

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JEE Main 2022 · 30 Jun · Shift 1, Physics question 42