Graph shown was obtained from experimental measurements of period of oscillations T for different ma

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13.Oscillations

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The graph shown was obtained from experimental measurements of the period of oscillations $T$ for different masses $M$ placed in the scale pan on the lower end of the spring balance. The most likely reason for the line not passing through the origin is that the

A

Spring did not obey Hooke's Law

B

Amplitude of the oscillations was too large

C

Clock used needed regulating

D

Mass of the pan was neglected

Solution

(d) $T = 2\pi \sqrt {\frac{M}{K}} $$\Rightarrow$ ${T^2} \propto M$

If we draw a graph between ${T^2}$ and $M$ then it will be straight line.

and for $M = 0, T^2 = 0$

i.e. the graph should pass through the origin.but from the it is not reflected it means the mass of pan was neglected.

Standard 11

Physics

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