Correct option is (a) 2.1 × 10^{–28}
Explaination::
mass=25g=25\(\times 10^{-3}\) kg , Δx=10^{−5}m
According to Heisenberg uncertainty principle
\(\triangle x.m.\triangle v=\frac{h}{4\pi}\)
\(\therefore \triangle v=\frac{h}{\triangle x.m.4\pi}\)
\(\frac{h}{4\pi}=5.272859 × 10^{-35}\) -{plancks constant / 4 π}
\(\therefore \triangle v=\frac{5.272859 × 10^{-35}}{25\times 10^{-3}\times10^{-5}}\)
\(\therefore \triangle v= 2.1 \times 10^{-28}\) m s^{-1}