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Comprehensive Master Sheet: Waves
Student Name: ____________________________________ Class: 11th (CBSE/NEET/JEE) Subject: Physics
Section A: Wave Equation & Speed of Sound
1.
A harmonic wave is represented by $y(x,t) = 0.005 \cos(80 x - 3 t)$ in SI units. Find amplitude, wavelength $\lambda$, frequency $f$, and wave velocity $v$.
2.
Explain Laplace's correction to Newton's formula for speed of sound in air ($v = \sqrt{\frac{\gamma P}{\rho}}$) and calculate $v$ at STP ($\gamma = 1.4$).
Section B: Organ Pipes & Beats
3.
Compare fundamental frequencies and harmonics produced in a closed organ pipe ($f_n = (2n-1)\frac{v}{4L}$) vs an open organ pipe ($f_n = n \frac{v}{2L}$).
4.
Two tuning forks A and B sounded together produce 4 beats/s. On filing fork A, beat frequency increases to 6 beats/s. If frequency of B is $320\text{ Hz}$, find original frequency of A.