The fundamental frequency of an open pipe is 100 hz If the bottom end of the pipe is closed and $1 / 3$ rd of the pipe is filled with water, then the fundamental frequency of the pipe is
The vibrations of four air columns are shown below. The ratio of frequencies is
Two cars are moving towards each other at the speed of $$50 \mathrm{~ms}^{-1}$$. If one of the cars blows a horn at a frequency of 250 Hz , the wave length of the sound perceived by the driver of the other car is
(Speed of sound in air $$=350 \mathrm{~ms}^{-1}$$)
Speed of sound in air near room temperature is approximately
A body is suspended from a string of length 1 m and mass 2 g. The mass of the body to produce a fundamental mode of 100 Hz frequency in the string is (Acceleration due to gravity $$=10 \mathrm{~ms}^{-2}$$)
A string fixed at both ends vibrate in 5 loops as shown in the figure. The total number of nodes and anti-nodes respectively are
Match the following.
| Column I | Column II | ||
|---|---|---|---|
| (A) | Transverse wave through a steel rod | 1. | $$\sqrt{B+\left(\frac{4}{3}\right)\frac{\eta}{\rho}}$$ |
| (B) | Longitudinal waves in Earth's crust | 2. | $$\sqrt{\frac{\eta}{\rho}}$$ |
| (C) | Longitudinal waves through a steel rod | 3. | $$\sqrt{\frac{2\pi T}{\rho \lambda}}$$ |
| (D) | Ripples | 4. | $$\sqrt{\frac{\lambda}{\rho}}$$ |
The sources of sound A and B produce a wave of 350 Hz in same phase. A particle P is vibrating under an influence of these two waves. If the amplitudes at P produced by the two waves is 0.3 mm and 0.4 mm, the resultant amplitude of the point P will be, when AP $$-$$ BP = 25 cm and the velocity of sound is 350 ms$$^{-1}$$