CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Identical springs of spring constant $$K$$ are connected in series and parallel combinations. A mass $$m$$ is suspended from them. The ratio of their frequencies of vertical oscillations will be


A
1:4
loader
B
1:2
loader
C
4:1
loader
D
2:1
loader

Solution

The correct option is A 1:4
From Formula 1. in series combination, ,
$$k_{eq}=\frac{K\times K}{K+K}=\dfrac{K}{2}$$. 
$$\therefore f_{1}=\dfrac{1}{2\pi }\sqrt{\dfrac{K}{2m}}$$ ...(1)
For parallel combination, $$k_{eq}=2K$$
$$\therefore f_{2}=\dfrac{1}{2\pi }\sqrt{\dfrac{2K}{m}}$$...(2)
Taking ratio, we get answer as$$ 1:4$$ Option A is correct.

Physics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image