The frequency of vibration $$f$$ of a mass $$m$$ suspended from a spring of spring constant $$K$$is given by a relation of this type $$f=C\,{{m}^{x}}{{K}^{y}}$$; where $$C$$ is a dimensionless quantity. The value of $$x$$ and $$y$$ are [CBSE PMT 1990]

Question

The frequency of vibration $$f$$ of a mass $$m$$ suspended from a spring of spring constant $$K$$is given by a relation of this type $$f=C\,{{m}^{x}}{{K}^{y}}$$; where $$C$$ is a dimensionless quantity. The value of $$x$$ and $$y$$ are                                                                                         [CBSE PMT 1990]

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$$x=\frac{1}{2},\,y=\frac{1}{2}$$

TuteeHUB · Answer

$$x=-\frac{1}{2},\,y=-\frac{1}{2}$$

TuteeHUB · Answer

$$x=\frac{1}{2},\,y=-\frac{1}{2}$$

TuteeHUB · Answer

$$x=-\frac{1}{2},\,y=\frac{1}{2}$$

1.	The frequency of vibration \[f\] of a mass \[m\] suspended from a spring of spring constant \[K\]is given by a relation of this type \[f=C\,{{m}^{x}}{{K}^{y}}\]; where \[C\] is a dimensionless quantity. The value of \[x\] and \[y\] are [CBSE PMT 1990]
A.	\[x=\frac{1}{2},\,y=\frac{1}{2}\]
B.	\[x=-\frac{1}{2},\,y=-\frac{1}{2}\]
C.	\[x=\frac{1}{2},\,y=-\frac{1}{2}\]
D.	\[x=-\frac{1}{2},\,y=\frac{1}{2}\]
Answer» E.

The frequency of vibration \[f\] of a mass \[m\] suspended from a spring of spring constant \[K\]is given by a relation of this type \[f=C\,{{m}^{x}}{{K}^{y}}\]; where \[C\] is a dimensionless quantity. The value of \[x\] and \[y\] are [CBSE PMT 1990]

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