Chapter 10 – Wave Optics
A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of 45Hz. The mass of the wire is 3.5×10^−2 kg and its linear mass density is 4×10^−2 kg/m . What is the speed of transverse wave on string and the tension in the string ?
13
Nov
A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of 45Hz. The mass of the wire is 3.5×10^−2 kg and its linear mass density is 4×10^−2 kg/m . What is the speed of transverse wave on string and the tension in the string ? A string of mass 2.50 [...]
Given below are some functions of x and t to represent the displacement (transverse or longitudinal ) of an elastic wave. State which of these represent (i) a travelling wave (ii) a stationary wave or (iii) none at all ?
13
Nov
Given below are some functions of x and t to represent the displacement (transverse or longitudinal ) of an elastic wave. State which of these represent (i) a travelling wave (ii) a stationary wave or (iii) none at all ? A string of mass 2.50 kg is under a tension of 200 N. The length [...]
The transvers displacement of a string (clamped at its both ends) is given by y(x,t)=0.06sin(2/3xs)cos(120πt) Where x and y are in m and t in s. The length of the string 1.5m and its mass is 3.0×10^−2kg.
13
Nov
The transvers displacement of a string (clamped at its both ends) is given by y(x,t)=0.06sin(2/3xs)cos(120πt) Where x and y are in m and t in s. The length of the string 1.5m and its mass is 3.0×10^−2kg. t)=0.06sin(2/3xs)cos(120πt) Where x and y are in m and t in s. The length of the string 1.5m [...]
For the travelling harmonic wave y(x, t) = 2.0cos 2π (10t – 0.0080 x + 0.35 ) where x and y are in cm and t in s. Calculate the phase difference between oscillatory motion of two points separated by a distance of
13
Nov
For the travelling harmonic wave y(x, t) = 2.0cos 2π (10t – 0.0080 x + 0.35 ) where x and y are in cm and t in s. Calculate the phase difference between oscillatory motion of two points separated by a distance of For the travelling harmonic wave y(x t) = 2.0cos 2π (10t - [...]
A transverse harmonic wave on a string is described by y(x,t) = 3.0sin(36t + 0.018x + π/4) where x and y are in cm and t in s. The positive direction of x is from left to right. (a) Is this a travelling wave or a stationary wave? If it is travelling what are the speed and direction of its propagation? (b) What are its amplitude and frequency? (c) What is the initial phase at the origin? (d) What is the least distance between two successive crests in the wave?
13
Nov
A transverse harmonic wave on a string is described by y(x,t) = 3.0sin(36t + 0.018x + π/4) where x and y are in cm and t in s. The positive direction of x is from left to right. (a) Is this a travelling wave or a stationary wave? If it is travelling what are the [...]
A hospital uses an ultrasonic scanner to locate tumours in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is 1.7 km/s ? The operating frequency of the scanner is 4.2 MHz.
13
Nov
A hospital uses an ultrasonic scanner to locate tumours in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is 1.7 km/s ? The operating frequency of the scanner is 4.2 MHz. A string of mass 2.50 kg is under a tension of 200 N. The length [...]
A bat emits ultrasonic sound of frequency 1000 kHz in air. If the sound meets a water surface, what is the wavelength of (a) the reflected sound. (b) the transmitted sound? Speed of sound in air is 340 m/s and in water 1486 m/s .
13
Nov
A bat emits ultrasonic sound of frequency 1000 kHz in air. If the sound meets a water surface, what is the wavelength of (a) the reflected sound. (b) the transmitted sound? Speed of sound in air is 340 m/s and in water 1486 m/s . A bat emits ultrasonic sound of frequency 1000 kHz in [...]
Use the formula v = √γP/ρ to explain why the speed of sound in air (a) is independent of pressure ? (b) increases with temperature ? (c) increases with humidity ?
13
Nov
Use the formula v = √γP/ρ to explain why the speed of sound in air (a) is independent of pressure ? (b) increases with temperature ? (c) increases with humidity ? Use the formula v = √γP/ρ to explain why the speed of sound in air (a) is independent of pressure ? (b) increases with [...]
A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at 20^∘C = 343 m/s :
13
Nov
A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at 20^∘C = 343 m/s : A string of mass 2.50 kg is under [...]
A stone dropped from the top of a tower of height 300 m high splashes into the water of a pond near the base of the tower. When is the splash heard at the top given that the speed of sound in air is 340 m/s ? (g = 9.8 ms^− 2 )
13
Nov
A stone dropped from the top of a tower of height 300 m high splashes into the water of a pond near the base of the tower. When is the splash heard at the top given that the speed of sound in air is 340 m/s ? (g = 9.8 ms^− 2 )