SHM

Q.

A transverse wave is described by the equation $Y=Y_{o}sin2\pi ⟮ft-\frac{x}{\lambda }⟯$. The maximum particle velocity is four times the wave velocity if

[IIT 1984; MP PMT 1997; EAMCET; 1998;CBSE PMT 2000; AFMC 2000; MP PMT/PET 1998; 01;KCET 1999, 04; Pb. PET 2001; DPMT 2005]

1. 

2. 

3. 

4. 

Q. The equation of progressive wave in a wire is given by $y=0.15sin\left[2\pi (15t-\frac{x}{10})\right]$
Where the distance is in meters and time in seconds.
Determine i) amplitude, ii) frequency, iii) wavelength and iv) velocity of the wave

1. $A=0.15m,f=150Hz,v=150m/s,\lambda =1m$
2. $A=0.1m,f=15Hz,v=15m/s,\lambda =1m$
3. $A=0.15m,f=15Hz,v=150m/s,\lambda =10m$
4. $A=0.15m,f=30Hz,v=15m/s,\lambda =10m$

Q. The amplitude, speed and frequency of a plane progressive wave are respectively 0.05 m, 333 m/s, and 110 Hz. Write the equation of the wave.

1. $y=0.05sin110(t-\frac{x}{333})$
2. $y=0.05sin110\pi (t-\frac{x}{333})$
3. $y=0.05sin220(t-\frac{x}{333})$
4. $y=0.05sin220\pi (t-\frac{x}{333})$