Frequency of oscillation is proportional to

Question

Frequency of oscillation is proportional to (A) √(3 k/m) (B) √(k/m) (C) √(2 k/m) (D) √(m/3 k)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/4c37a7a9515b1b7d9848276ab5e553ba-.png" /> Let mass is displaced towards left by x then force on mass =-k x-2 k x=-3 k x [negative sign is taken because force is opposite to the direction of motion] ⇒ F=-3 k x=-m ω2 x ⇒ ω=√(3 k/m) f=(ω/2 π)=(1/2 π) √(3 k/m) Thus it is proportional to √(3 k/m)

Q. Frequency of oscillation is proportional to

$\frac{3 k}{m}$

$\frac{k}{m}$

$\frac{2 k}{m}$

$\frac{m}{3 k}$

Q. Frequency of oscillation is proportional to

m3k​​

mk​​

m2k​​

3km​​

Let mass is displaced towards left by x then force on mass =−kx−2kx=−3kx [negative sign is taken because force is opposite to the direction of motion] ⇒F=−3kx=−mω2x ⇒ω=m3k​​ f=2πω​=2π1​m3k​​ Thus it is proportional to m3k​​

$\frac{3 k}{m}$

$\frac{k}{m}$

$\frac{2 k}{m}$

$\frac{m}{3 k}$