Basic Maths and Units and DimensionsHard

Question

If the speed of the wave shown in the figure is 330 m/s in the given medium, then the equation of the wave propagating in the positive x-direction and velocity of particle P will be (all quantities are in M.K.S. units) :-
       

Options

A.y = 0.05 sin 2π (4000 t - 12.5 x),
330 √3 m/s upward
B.y = 0.05 sin 2π (4000 t - 122.5 x),
330 √3 m/s upward
C.y = 0.05 sin 2π (3300 t - 10 x),
330 √3 m/s upward
D.y = 0.05 sin 2π (3300 t - 10 x),
330 √3 m/s downward

Solution

2.5λ = 0.25 ⇒ λ = 0.1 m , a = 0.05
⇒ K = = 20π rad/m
v = 330 m/s then
W = Kv = 20π × 330 = 6600π rad/sec
Propagating in (+)x-axis then
y = 0.05sin(6600π - 20πx)
= 0.05sin2π(3300 - 10x)
Now
vp = -V(slope)
= -330 × (-√3)
vp = + 330 √3 m/s
= 330 √3 (upward)

Create a free account to view solution

View Solution Free
Topic: Basic Maths and Units and Dimensions·Practice all Basic Maths and Units and Dimensions questions

More Basic Maths and Units and Dimensions Questions

Keeping the significant figures in view, the sum of the physical quantities $52.01\text{ }m,153.2\text{ }m$ and 0.123 m ...Three identical bodies are at temperature T1, T2 and T3 having e1, e2 and e3 as their respective emissivities. The therm...The graph shown the extension of a wire of length 1m suspended from the top of a roof at one end and with a load W conne...Displacement x of a particle is given by x = At2 + Akt3, where t is time. Units of k can be...Young′s double slit experiment is carried out by using green, red and blue light, one color at a time. The fringe ...