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.	-ve x direction with frequency 1 Hz
2.	+ve x direction with frequency π Hz and wavelength λ =0.2 m
3.	+ve x direction with frequency 1 Hz and wavelength λ = 0.2 m
4.	- ve x direction with amplitude 0.25 m and wavelength λ = 0.2 m

 

The velocity of sound in air is:

The speed of sound at a constant temperature depends on:

The displacement of a particle is given by $y=5\times {10}^{-4}\sin (100t-50x)$, where x is in metres and t is in seconds. The velocity of the wave is:

1. 5000 m/sec

2. 2 m/sec

3. 0.5 m/sec

4. 300 m/sec

Tuning fork \(F_1\) has a frequency of 256 Hz and it is observed to produce 6 beats/second with another tuning fork \(F_2\). When \(F_2\) is loaded with wax, it still produces 6 beats/second with \(F_1\). The frequency of \(F_2\) before loading was:
1. 253 Hz
2. 262 Hz
3. 250 Hz
4. 259 Hz

The equation of a stationary wave is \(y = 0.8 ~cos\left(\frac{\pi x}{20}\right)sin200(\pi t)\)$$, where \(x\) is in cm and \(t\) is in sec. The separation between consecutive nodes will be:

1. \(20~\text{cm}\)

2. \(10~\text{cm}\)

3. \(40~\text{cm}\)

4. \(30~\text{cm}\)

A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio:

Three waves of equal frequency having amplitudes of 10 μm, 4 μm and 7 μm arrive at a given point with a successive phase difference of $\frac{\pi }{2}$. The amplitude of the resulting wave in μm is given by:
1. 7
2. 6
3. 5
4. 4

The number of possible natural oscillations of the air column in a pipe closed at one end of a length of 85 cm whose frequencies lie below 1250 Hz is: (velocity of sound 340ms^-1)

A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. The lowest resonant frequency for these strings is: