A wave travelling along a string is described by, \(y(x,t)=0.005 \text{ sin}(80.0x-3.0t),\) in which the numerical constants are in SI units. The wavelength and the period of the wave respectively are: 
1. \(7.85 ~\text{cm}\) and \(2.09 ~\text{s}\)
2. \(7.85 ~\text{cm}\) and \(1.09 ~\text{s}\)
3. \(7.85 ~\text{cm}\) and \(0.09 ~\text{s}\)
4. none of these

A wave travelling along a string is described by, \(y(x,~t)=0.005 ~\sin(80.0x-3.0t),\) in which the numerical constants are in SI units. The displacement \(y\) of the wave at a distance \(x = 30.0~\text {cm}\) and time \(t=20~\text{s}\) is:
1. \(0.5~\text{mm}\)
2. \(5~\text{mm}\)
3. \(5~\text{m}\)
4. \(5~\text{cm}\)

A steel wire \(0.72~\text{m}\) long has a mass of \(5\times10^{-3}~\text{kg}\). If the wire is under tension of \(60~\text{N}\), the speed of transverse waves on the wire will be:
1. \(85~\text{m/s}\)
2. \(83~\text{m/s}\)
3. \(93~\text{m/s}\)
4. \(100~\text{m/s}\)