Question

If the percentage error in the measurement of mass and velocity are 2% and 3%
respectively then the percentage error in the measurement of kinetic energy is
(a) 8% (b) 5% (c) 6% (d) 11%​

Answer 1

Answer:

$\boxed{The \; percentage\; error\; in\; the \;measurement\; of \; kinetic \; energy\; is \;Option\; d) \; 8\;percent }$

Explanation:

Given that percentage error in the measurement of mass and velocity are 2% and 3%.

We know that the kinetic energy of the particle is given by ,

K.E = $\frac{mv^{2} }{2}$

The percentage error in kinetic energy will be given by,

Delta mass  ×100 + 2 Delta Velocity  × 100

       mass                          Velocity

Here , the Delta mass = 2   and  Delta Velocity × 100

                     mass                         Velocity

= 2 + (2×3)

= (2+6) %

= $\underline{\underline{{8 }}}$ %