EVALUATION

Equation of travelling wave on a stretched string of linear density $5 \mathrm{g}/\mathrm{m}$ is $\mathrm{y}=0.03 \sin (450\mathrm{t}-9\mathrm{x})$, where distance and time are measured in SI units. The tension in the string is

Consider two uniform wires vibrating simultaneously in their fundamental notes. The tensions, densities, lengths and diameter of the two wires are in the ratio $8 : 1, 1 : 2, x : y$ and $4 : 1$ respectively. If the note of the higher pitch has a frequency of $360 \mathrm{Hz}$ and the number of beats produced per second is $10$, then the value of$x : y$is

Which of the following represents a wave

A man sitting on a swing which is moving to an angle of $60°$ from the vertical is blowing a whistle which has a frequency of$2.0 \mathrm{k} \mathrm{Hz}$. The whistle is $2.0 \mathrm{m}$ from the fixed support point of the swing. A sound detector which detects the whistle sound is kept in front of the swing. If velocity of sound in air is $330 \mathrm{m}/\mathrm{s}$, then the maximum frequency the sound detector detected is

Let $y = 1/(1+x^2)$ at $t=0s$ be the  amplitude of the wave propagating in the positive $x$-direction. At$t = 2 s,$ the amplitude of the wave propagating becomes $1 / 1+(x-2{)}^2.$ Assume that the shape of the wave does not change during propagation. The velocity of the wave is

A uniform rope having mass $m$ hangs vertically from a rigid support. A transverse wave pulse is produced at the lower end. Which of the following plots shows the correct variation of speed $v$ with height $h$ from the lower end?

An organ pipe $A$ closed at one end is allowed to vibrate in its first harmonic and another pipe $B$open at both ends is allowed to vibrate in its third harmonic. Both $A$ and $B$are in resonance with a given tuning fork. The ratio of the length of $A$and $B$ is

Consider the following function (a) $y=x^2+2\alpha tx$  (b)  $y = (x+vt{)}^2$ which among the above function can be characterized as a wave?