Физика - Помощь и решение домашних заданий по физике - 110

Math for practice: 1. A transverse sine wave of amplitude 10 cm and wavelength 200 cm travels from left to right along a long horizontal string with a speed 100cm/s. Take the origin at the left end. At time t=0. the left end of the string is at the origin and is moving downward i. Find the frequency, angular frequency, and propagation constant 10.5 Hz, 3.14/s 0.031/cm] ii. What is the equation of the wave? [y=10sin((pi x)/(100)-pi t)] iii. What is the equation of motion of the left end of the string? [y=-10sin(pi t)]

Broad/Descriptive Questions: 1. Derive the equation of a progressive wave or prove that y(x,t)=Acos(kx-omega t) 2. Explain Standing wave Find the position of Node and antinode in a standing eave. 3. Find the fundamental frequency of a standing wave or prove that f_(n)=(n)/(2L)sqrt ((r)/(mu ))

hort Questions: 1. Differentiate between mechanical and electromagnetic wave. 2. Differentiate between longitudinal and transverse wave. 3. State the principle of superposition of waves.

Short Questions: 1. Differentiate between mechanica I and electromagnetic wave 2. Differentiate between longitudinal and transverse wave. 3. State the principle of superposition of waves. Broad/Descriptive Questions: 1. Derive the equation of a progressive wave or prove that y(x,t)=Acos(kx-omega t) 2. Explain Standing wave Find the position of Node and antinode in a standing eave 3. Find the fundamental frequency of a standing wave or prove that f_(n)=(n)/(2L)sqrt ((r)/(mu )) 1. A transverse sine wave of amplitude 10 cm and wavelength 200 cm travels from left to right along a long horizontal string with a speed 100cm/s Take the origin at the left end. At time t=0. the left end of the string is at the origin and is moving downward i. Find the frequency, angular frequency, and propagation constant.10.5 Hz, 3.14/s 0.031/cm] ii. What is the equation of the wave? y=10sin((pi x)/(100)-pi t)1 iii. What is the equation of motion of the left end of the string? [y=-10sin(pi t)] Page 6 of 14 PHY 101: Chapter 8 iv. What is the equation of a particle 150 cm to the right of the string? y=10sin((3pi )/(2)- pi t) 2. A certain string has a linear mass density of 0.25kg/m and is stretched with a tension of 25 N. One end is given a sinusoidal motion with frequency 5 Hz and amplitude 0.01 m. Att=0 the end has zero displacement and is moving in the +y direction. i. Find the wave speed.amplitude, angular frequency, period wavelength and wave number [10m/s,0.01m,31.4/s,0.2s,2m,3.14/m] ii. Write a wave function describing the wave. [y=0.01sin(31.4t-3.14x)] iii. Find the position of the point at x=0.25m at time t=0.1 second. [0.00707m] iv. Find the transverse velocity of the point at x=0.25m at time. t=0.1 second. [-0.22 m/s] 3. The equation of a transverse traveling wave on a string is y=2cos[pi (0.5x-200t)] where x and y are in centimeters and t is in seconds.Find the wavelength, frequency.time period and velocity of propagation. 2cm,100Hz,0.01s,400cm/s 4. The equation of a transverse traveling wave on a string is, y=2sin2pi ((t)/(0.01)-(x)/(30)) where x and y are expressed are in cm and t is in seconds. Find the amplitude, wavelength, frequency, period and velocity of the propagation. [2 cm.30 cm, 100 Hz,3000cm/s] 5. A steel piano wire 50 cm long of mass 5 g is stretched with a tension of 400 N (a) What is its fundamental frequency? [200 H2] (b) What is the number of the highest overtone that could be heard by a person who is capable of hearing frequencies up to 10000 Hz? [50]

Math for Practice: 1. A listener is at rest and the source is moving toward him at 30ms^-1 what is the frequency as heard by the listener?The frequency and speed of the sound is 200 Hz and 332ms^-1 [218.87 Hz]

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