(D) The energy stored in the battery is given by $E = V \times I \times t$.Given $V = 3 \,V$ and $I \times t = 225 \,mAh = 225 \times 10^{-3} \,A \tim

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(D) The energy stored in the battery is given by $E = V \times I \times t$.Given $V = 3 \,V$ and $I \times t = 225 \,mAh = 225 \times 10^{-3} \,A \times 3600 \,s = 810 \,C$.Thus,$E = 3 \,V \times 810 \,C = 2430 \,J$.For the cricket ball,the kinetic energy is $K.E. = \frac{1}{2} mv^2$.Equating the energy: $2430 = \frac{1}{2} \times 0.163 \,kg \times v^2$.$v^2 = \frac{2430 \times 2}{0.163} \approx 29816$.$v = \sqrt{29816} \approx 172.67 \,m/s$.This value is closest to $170 \,m/s$.

Class 12 Physics Current Electricity Electrical Energy and Power

Medium

$A$ button battery is rated $3 \,V$ and $225 \,mAh$. $A$ cricket ball (mass $= 0.163 \,kg$) having energy equal to that stored in the battery will have a speed closest to ............ $\,m/s$.

KVPY 2021 All KVPY

A
$20$
B
$70$
C
$90$
D
$170$

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$A$ button battery is rated $3 \,V$ and $225 \,mAh$. $A$ cricket ball (mass $= 0.163 \,kg$) having energy equal to that stored in the battery will have a speed closest to ............ $\,m/s$.

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