known E = m.c^2, if m=0.0024 and c=0.2*10^-5, so the value of E is ?
$$\small{\text{$\boxed{E = m c^2}$}}$$
$$\small{\text{$m= 0.0024 = \frac{24}{10000} = \frac{2.4}{1000}= \frac{2.4}{10^3} = 2.4 * 10^{-3} $}}$$
$$\small{\text{$
c= 0.2*10^{-5} = \frac{2}{10}*10^{-5} = \frac{2}{10*10^5}= \frac{2}{10^6} = 2*10^{-6} $
}}$$
$$\small{\text{
$
E=m*c^2 = 2.4*10^{-3} \ * \ (2*10^{-6})^2 =2.4*10^{-3} \ * \ 2^2*(10^{-6})^2
$
}}\\
\small{\text{
$
=2.4*10^{-3} \ * \ 2^2*10^{-12}=2.4*10^{-3} \ * \ 4*10^{-12} = 2.4*4*10^{-3} 10^{-12} = 9.6 * 10^{-3} 10^{-12} $
}}\\
\small{\text{
$
= 9.6 * 10^{-15}
$
}}$$
helppp the options are
a.9.6 * 10^-15
b.9.6 * 10^-14
c.9.6 * 10^-13
d.4.8 * 10^-12
known E = m.c^2, if m=0.0024 and c=0.2*10^-5, so the value of E is ?
$$\small{\text{$\boxed{E = m c^2}$}}$$
$$\small{\text{$m= 0.0024 = \frac{24}{10000} = \frac{2.4}{1000}= \frac{2.4}{10^3} = 2.4 * 10^{-3} $}}$$
$$\small{\text{$
c= 0.2*10^{-5} = \frac{2}{10}*10^{-5} = \frac{2}{10*10^5}= \frac{2}{10^6} = 2*10^{-6} $
}}$$
$$\small{\text{
$
E=m*c^2 = 2.4*10^{-3} \ * \ (2*10^{-6})^2 =2.4*10^{-3} \ * \ 2^2*(10^{-6})^2
$
}}\\
\small{\text{
$
=2.4*10^{-3} \ * \ 2^2*10^{-12}=2.4*10^{-3} \ * \ 4*10^{-12} = 2.4*4*10^{-3} 10^{-12} = 9.6 * 10^{-3} 10^{-12} $
}}\\
\small{\text{
$
= 9.6 * 10^{-15}
$
}}$$