When mass $m$ oscillates with spring of spring constant $k_{1}$ its frequency is $3 H z$ and with spring of spring constant $k_{2}$ its frequency is $6 H z$ . Then frequency of oscillations when mass is connected with spring as shown in figure is:-

6.7

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

4.5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $6.7$
For spring $K_{1}$
$w_{1} = \sqrt{\frac{k_{1}}{m}}$
$(3 \sqrt{m})^{2} = k_{1}$
$k_{1} = 9 m$
For spring $k_{2}$
$w_{2} = \sqrt{\frac{k_{2}}{m}}$
$k_{2} = 36 m$
Now Both spring are is parallel
$k_{n e t} = k_{1} + k_{2} = 45 m$
$W_{n e t} = \sqrt{\frac{45 m}{m}}$
$= \sqrt{45}$
$= 6.7 H_{z}$
So, option (A)

Suggest Corrections

Similar questions

Two springs of force constants $K_{1}$ and $K_{2}$ are connected to a mass m as shown. The frequency of oscillation of the mass is f. If both $K_{1}$ and $K_{2}$ are made four times their original values, the frequency of oscillation becomes:

Q. Two springs, of force constant

k_{1}

and

k_{2}

, are connected to a mass m as shown. The frequency of oscillation of the mass is

f

. If both

k_{1}

and

k_{2}

are made four times their original values, the frequency of oscillation becomes

Q. A system of springs with their spring constant are as shown in figure. The frequency of oscillations of the mass m will be (assuming the springs to be massless)

Q. A system of springs with their springs constants are as shown in figure. The frequency of oscillation of the mass m will be (assuming the springs to be massless)

A weightless spring which has a force constant oscillates with frequency n when a mass m is suspended from it. The spring is cut into two equal halves and a mass 2m is suspended from it. The frequency of oscillation will now become

Join BYJU'S Learning Program

When mass m oscillates with spring of spring constant k1 its frequency is 3Hz and with spring of spring constant k2 its frequency is 6Hz. Then frequency of oscillations when mass is connected with spring as shown in figure is:-

The correct option is A 6.7For spring K1w1=√k1m(3√m)2=k1k1=9mFor spring k2w2=√k2mk2=36m Now Both spring are is parallel knet=k1+k2=45mWnet=√45mm=√45=6.7Hz So, option (A)

When mass $m$ oscillates with spring of spring constant $k_{1}$ its frequency is $3 H z$ and with spring of spring constant $k_{2}$ its frequency is $6 H z$ . Then frequency of oscillations when mass is connected with spring as shown in figure is:-