Student Login

Home›Chapters›Wave Motion PYQs›Progressive Wave Equation›Question 14

MHT CET 2026 (12 May, Shift 2) · Progressive Wave Equation

Progressive Wave Equation question from MHT CET 2026 (12 May, Shift 2)

Q14MHT CET 2026 · 12 MAY · SHIFT 2Easy

Progressive Wave Equation

The equation of a wave travelling on a string is $Y = \sin(20\pi x + 10\pi t)$ , where $x$ and $t$ are distance and time in SI units. The minimum distance between two points having the same oscillating speed is

Show answer and solution

Answer: (b)

$k = 20\pi\ \text{m}^{-1}$ , so $\lambda = \frac{2\pi}{k} = 0.1$ m $= 10$ cm.
Points always having the same speed are at least $\frac{\lambda}{2}$ apart (phase difference $\pi$ ).
$\frac{\lambda}{2} = 5$ cm
So the answer is (b) $5$ cm.

Report a mistake

More questions on Progressive Wave Equation

Two simple harmonic progressive waves have displacements y₁ = 5sin ((2π x)/(λ) - ω t) and…MHT CET 2026 (12 May, Shift 1)
Two waves are represented as and The path difference between two waves isMHT CET 2026 (20 Apr, Shift 2)
A progressive wave of frequency 50 Hz is travelling with velocity 350 m/s through a…MHT CET 2026 (16 Apr, Shift 1)
A simple harmonic progressive wave is represented by y = Asin (120π t + 3x). The distance…MHT CET 2026 (15 Apr, Shift 2)
Two waves are represented by the equations, y₁ = asin (ω t + kx + 0.57) m and y₂ = acos…MHT CET 2026 (13 Apr, Shift 2)
The distance between two consecutive points with phase difference of 60° in a wave of…MHT CET 2026 (13 Apr, Shift 2)
For a travelling harmonic wave y(x, t) = 2.0cos 2π(10t - 0.0080x + 0.35), where x and y…NEET 2026
A simple harmonic progressive wave is given by the equation y = asin 2π(nt - (x)/(λ)). If…MHT CET 2026 (12 May, Shift 1)