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%
B
1%
C
8%
D
11%

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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