If the uncertainty in velocity and position of a minute particle in space are, $2.4 \times 10^{- 26} ({ms}^{- 1})$ and $10^{- 7} (m)$ respectively. The mass of the particle in $g$ is___(Nearest integer)
(Given : $h = 6.626 \times 10^{- 34} Js$ )

Question

If the uncertainty in velocity and position of a minute particle in space are, $2.4 \times 10^{- 26} ({ms}^{- 1})$ and $10^{- 7} (m)$ respectively. The mass of the particle in $g$ is___(Nearest integer)

(Given : $h = 6.626 \times 10^{- 34} Js$ )

TestHub · Accepted Answer

ΔV = 2 . 4 × 10 - 26 ms - 1 Δx = 10 - 7 m ∵ Δp · Δx = h 4 π ∴ mΔV . Δx = h 4 π ⇒ m × 2 . 4 × 10 - 26 × 10 - 7 = 6 . 626 × 10 - 34 4 × π m = 6 . 626 9 . 6 × π × 10 - 1 m = 0 . 02198 kg m = 21 . 98 gm nearest integer = 22

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