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NEET CHEMISTRYEasy

Uncertainty in position of an electron (ee^-) and Helium atom (He) is similar. If uncertainty in momentum of electron is 32×10532 \times 10^5, then uncertainty in momentum of Helium will be:

A

32 \times 10^5

B

16 \times 10^5

C

8 \times 10^5

D

None of the above

Step-by-Step Solution

According to Heisenberg's Uncertainty Principle, the product of uncertainty in position (Δx\Delta x) and uncertainty in momentum (Δp\Delta p) is greater than or equal to a constant (h4π\frac{h}{4\pi}). The mathematical expression is: ΔxΔph4π\Delta x \cdot \Delta p \geq \frac{h}{4\pi} Given that the uncertainty in position is similar (equal) for both the electron and the Helium atom (Δxe=ΔxHe\Delta x_e = \Delta x_{He}), the uncertainty in their momentum must also be equal to satisfy the principle, regardless of their masses. ΔpHe=Δpe=32×105\Delta p_{He} = \Delta p_e = 32 \times 10^5 Note: Mass would only result in a difference if the question asked for uncertainty in velocity (Δv\Delta v), since Δp=mΔv\Delta p = m\Delta v.

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