Student Login

Home›Chapters›Wave Motion PYQs›Progressive Wave Equation›Question 88

NEET 2012 (AIPMT, Mains) · Progressive Wave Equation

Progressive Wave Equation question from NEET 2012 (AIPMT, Mains)

Q88NEET 2012 · AIPMT · MAINSEasy

Progressive Wave Equation

The equation of a simple harmonic wave is given by

y = 3 sin $\frac{\pi}{2}$ (50t $-$ x),

where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is

Show answer and solution

Answer: (b)

$y = 3\sin\left(25\pi t - \frac{\pi}{2}x\right)$ , so $A = 3$ m, $k = \frac{\pi}{2}\ \text{m}^{-1}$ .
$\frac{v_{max}}{v} = Ak = 3 \times \frac{\pi}{2} = \frac{3\pi}{2}$
So the answer is (b) $\frac{3\pi}{2}$ .

Report a mistake

More questions on Progressive Wave Equation

The transverse displacement y(x, t) of a wave on a string is given by y(x, t) = e-(ax² +…JEE Main 2011 (AIEEE)
Two waves are represented by the equations y1 = a sin( ω t + kx + 0.57) m and y2 = acos(…NEET 2011 (AIPMT, Prelims)
A transverse wave is represented by y = Asin( ω t - kx). For what value of the wavelength…NEET 2010 (AIPMT, Prelims)
The equation of a wave on a string of linear mass density 0.04 kg m⁻¹ is given by y =…JEE Main 2010 (AIEEE)
A wave in a string has an amplitude of 2 cm. The wave travels in the +ve direction of x…NEET 2009 (AIPMT)
A wave travelling along the x -axis is described by the equation y(x, t) = 0.005cos (α x…JEE Main 2008 (AIEEE)
The wave described by y = 0.25 sin(10 π x - 2 π t), where x and y are in metres and t in…NEET 2008 (AIPMT)
Two points are located at a distance of 10 m and 15 m from the source of oscillation. The…NEET 2008 (AIPMT)