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Question

The percentage errors in the measurement of mass and speed are $$2\%$$ and $$3\%$$, respectively. How much will be the maximum error in the estimation of KE obtained by measuring mass and speed?


A
5%
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B
1%
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C
8%
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D
11%
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Solution

The correct option is C $$8\%$$
We know $$K=\dfrac { 1 }{ 2 } { mV }^{ 2 }$$

$$\dfrac { \Delta K }{ K } =\dfrac { \Delta M }{ M } +\dfrac { 2\Delta V }{ V } $$

$$\dfrac { \Delta K }{ K }=2$$%$$+2\times3$$%$$=(2+6)$$%$$=8$$%

Physics

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