What conclusion may be drawn from the following results of (a) and (b) ? (a) If a `1 xx 10^(-3) kg` body is travelling along the x-axis at 1 m/s within 0.01m/s. Calculate the theoretical uncertainty in its position.
(b) If an electron is travelling at 100 m/s within 1m/s, calculate the theoretical uncertainty in its position.
[`h= 6.63 xx 10^(-34)J.s`, mass of electron `=9.109 xx 10^(-31)kg`]

Explanation

To solve the problem, we will use Heisenberg's uncertainty principle, which states that the uncertainty in position (Δx) and the uncertainty in momentum (Δp) are related by the equation:

\[ \Delta x \cdot \Delta p \geq \frac{h}{4\pi} \]

where \( h \) is Planck's constant.

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