Check if the
solution of
following function are
the wave equations-
2)
Sun²lx. Cosat)
Answers
Answer:1. Vocabulary: displacement, velocity (MISN-0-7); frequency, angular frequency, period (MISN-0-25).
2. Take the derivative of sin(kx+ωt) with respect to t while treating
x as a constant whose derivative is zero; alternatively with respect
to x while treating t as a constant ((MISN-0-1).
Output Skills (Knowledge):
K1. Vocabulary: amplitude, wavelength, wave number, phase, phase
constant, wave function, wave speed, wave equation, harmonic
function, sinusoidal wave, traveling wave, boundary conditions,
field.
K2. State the one-dimensional wave equation and its general solution.
K3. Take the partial derivative of sin(kx + ωt) with respect to either
x or t.
Output Skills (Rule Application):
R1. Given a wave function for a one-dimensional traveling wave, verify
that it satisfies the wave equation.
Output Skills (Problem Solving):
S1. Given a sufficient number of parameters associated with a sinusoidal wave, write down the mathematical description of the traveling wave.
S2. Determine the unknown parameters of a one-dimensional sinusoidal wave, given its displacement as a function of either: (i)
position at two different times; or (ii) time at two different positions.
S3. Determine the unknown parameters of a one-dimensional sinusoidal wave, given the wave function and its first derivative with
respect to time at x = 0 and t = 0
Explanation: