KCET 2025 Chemistry Paper

To determine the value of ∆v⋅∆x for an object with a mass of 10−6‌kg using Heisenberg's Uncertainty Principle, we start with the formula:
∆v⋅∆x=‌

h

4πm

Given:
Planck's constant, h=6.626×10−34‌Js
Mass, m=10−6‌kg
Substitute these values into the formula:
∆v⋅∆x=‌

6.626×10−34

4×3.14×10−6

Calculating the above expression, we get:
∆v⋅∆x≈5.2×10−29m−2 s−1
This result provides the required uncertainty product for the given object under the constraints of Heisenberg's principle.