Question

A wave is given by $y=3sin2\pi (\frac{t}{0.04}-\frac{x}{0.01})$, where y is in cm. frequency o wave and maximum acceleration of particle will be

• A. $100HZ,4.7\times {10}^{3}cm/s^2$
• B. $50HZ,7.5\times {10}^{3}cm/s^2$
• C. $25HZ,4.7\times {10}^{4}cm/s^2$
• D. $25HZ,7.4\times {10}^{4}cm/s^2$

Answer 1

The correct option is D $25HZ,7.4\times {10}^{4}cm/s^2$

$\begin{array}{c}w=\frac{2\pi }{0.04}=2\pi t\\ \Rightarrow f=25Hz\\ a=w^{2}A\\ =\frac{4{\pi }^2}{0.04\times 0.04}\times 3\\ =\frac{4{\pi }^2\times 100\times 100\times 3}{4\times 4}\\ =7.4\times {10}^{4}cm/s^2\\ Hence,\\ optionDiscorrectanswer.\end{array}$