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(B) The general differential equation for $SHM$ is given by $\frac{d^{2}x}{dt^{2}} + \omega^{2}x = 0$.Comparing the given equation $\frac{d^{2}x}{dt^{

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$\frac{5}{\pi} \ Hz$

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(B) The general differential equation for $SHM$ is given by $\frac{d^{2}x}{dt^{2}} + \omega^{2}x = 0$.Comparing the given equation $\frac{d^{2}x}{dt^{2}} + 100x = 0$ with the general equation,we get $\omega^{2} = 100$.Taking the square root,we find the angular frequency $\omega = 10 \ rad/s$.Since the relationship between angular frequency $\omega$ and frequency $f$ is $\omega = 2\pi f$,we have $2\pi f = 10$.Therefore,the frequency $f = \frac{10}{2\pi} = \frac{5}{\pi} \ Hz$.

What is the value of frequency in the differential equation of $SHM$ $\frac{d^{2}x}{dt^{2}} + 100x = 0$?

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