The wave described by \(y = 0.25\sin(10\pi x-2\pi t),\) where \(x\) and \(y\) are in metres and \(t\) in seconds, is a wave traveling along the:

1.	\(-\text{ve}~x\) direction with frequency \(1\) Hz.
2.	\(+\text{ve}~x\) direction with frequency \(\pi\) Hz and wavelength \(\lambda = 0.2~\text{m}\).
3.	\(+\text{ve}~x\) direction with frequency \(1\) Hz and wavelength \(\lambda = 0.2~\text{m}\).
4.	\(-\text{ve}~x\) direction with amplitude \(0.25\) m and wavelength \(\lambda = 0.2~\text{m}\).

Two waves are represented by the equations $y_1=a\sin \omega t$ and $y_2=a\cos \omega t.$ The first wave 

(1) Leads the second by $\pi$

(2) Lags the second by $2\pi$

(3) Leads the second by $\frac{\pi }{2}$

(4) Lags the second by $\frac{\pi }{2}$

The distance between two consecutive crests in a wave train produced in a string is 5 cm. If 2 complete waves pass through any point per second, the velocity of the wave is :

1. 10 cm/sec

2. 2.5 cm/sec

3. 5 cm/sec

4. 15 cm/sec

A tuning fork makes 256 vibrations per second in air. When the velocity of sound is 330 m/s, then the wavelength of the tone emitted is :

1. 0.56 m

2. 0.89 m

3. 1.11 m

4. 1.29 m

Sound waves have the following frequencies that are audible to human beings :

1. 5 c/s

2. 27000 c/s

3. 5000 c/s

4. 50,000 c/s

The minimum audible wavelength at room temperature is about

1. 0.2 Å

2. 5 Å

3 5 cm to 2 metre

4. 20 mm

The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K is 

1.  $\sqrt{2/7}$

2.  $\sqrt{1/7}$

3.  $\sqrt{3}/5$

4.  $\sqrt{6}/5$

The frequency of a rod is 200 Hz. If the velocity of sound in air is 340 ms^–1, the wavelength of the sound produced is :

1. 1.7 cm

2. 6.8 cm

3. 1.7 m

4. 6.8 m

A stone is dropped into a lake from a tower 500 metre high. The sound of the splash will be heard by the man approximately after 

[Given : Speed of sound = 340 m/s ]

1. 11.5 seconds

2. 21 seconds

3. 10 seconds

4. 14 seconds

When sound waves travel from air to water, which of the following remains constant 

1. Velocity

2. Frequency

3. Wavelength

4. All the above