The equation of displacement of a particle executing SHM is $x = 0.40 cos (2000 t + 18)$ . The frequency of the particle is
$10^{3} Hz$
$20 Hz$
$\frac{10^{3}}{π} Hz$
$2 \times 10^{3} Hz$

Question

The equation of displacement of a particle executing SHM is x-0-40 cos-2000 t-18- The frequency of the particle is10-3 text-Hz-20 text-Hz-displaystyle dfrac-10-3-pi- text-Hz-2times 10-3 text-Hz-

Toppr Admin · Accepted Answer

-x3C9-2000 hereThus- f-x3C9-2-x3C0-1000-x3C0-xA0-Hertz

The equation of displacement of a particle executing SHM is x=0.40cos(2000t+18). The frequency of the particle is103 Hz20 Hz103π Hz2×103 Hz

ω=2000 hereThus, f=ω2π=1000π Hertz

The equation of displacement of a particle executing SHM is $\frac{π}{3 ω}$ . The frequency of the particle is
$10^{3} Hz$
$20 Hz$
$\frac{10^{3}}{π} Hz$
$2 \times 10^{3} Hz$

$ω = 2000$ here
Thus, $f = \frac{ω}{2 π} = \frac{1000}{π} Hertz$