When a mass m is connected individually to two springs S₁ and S₂, the oscillation frequencies are ν₁ and ν₂. If the same mass is attached to the two springs as shown in Fig. 14.3, the oscillation frequency would be

Question

Philoid · Accepted Answer

When the spring I connected individually,

Frequency of S₁ and S₂,

------(1)

------(2)

Now when they are attached as shown in the figure, it is a parallel connection and thus

Putting equation 1 and 2 in the above, we get,

Hence option (b) is correct.

When a mass m is connected individually to two springs S1 and S2, the oscillation frequencies are ν1 and ν2. If the same mass is attached to the two springs as shown in Fig. 14.3, the oscillation frequency would be