The motion of a particle executing SHM in one dimension is described by x-0-3 sin t-4 where- x is in metre and t in second- The frequency of oscillation in Hz is

The correct option is B 12π x= 0.3 sin ( t+π/4 ) x=x_0 sin (ω t+ϕ ) x_0=0.3, ω =1 and ϕ =π/4 2π f=1 f=1/2π ...

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Standard XII

Physics

Time Period Independent of Amplitude

The motion of...

Question

The motion of a particle executing SHM in one dimension is described by $x = - 0.3 s i n (t + \frac{π}{4})$ where, x is in metre and t in second. The frequency of oscillation in Hz is

3

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\frac{1}{2 π}

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\frac{π}{2}

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\frac{1}{π}

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Solution

The correct option is B $\frac{1}{2 π}$
$x = - 0.3 s i n (t + \frac{π}{4})$
$x = x_{0} s i n (ω t + ϕ)$
$x_{0} = 0.3, ω = 1$ and $ϕ = \frac{π}{4}$
$2 π f = 1$
$f = \frac{1}{2 π}$

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The motion of a particle executing SHM in one dimension is described by x=−0.3sin(t+π4) where, x is in metre and t in second. The frequency of oscillation in Hz is

The correct option is B 12πx=−0.3sin(t+π4)x=x0sin(ωt+ϕ)x0=0.3,ω=1 and ϕ=π42πf=1f=12π

The motion of a particle executing SHM in one dimension is described by $x = - 0.3 s i n (t + \frac{π}{4})$ where, x is in metre and t in second. The frequency of oscillation in Hz is

The correct option is B $\frac{1}{2 π}$
$x = - 0.3 s i n (t + \frac{π}{4})$
$x = x_{0} s i n (ω t + ϕ)$
$x_{0} = 0.3, ω = 1$ and $ϕ = \frac{π}{4}$
$2 π f = 1$
$f = \frac{1}{2 π}$