Question

The uncertainty in position and velocity of a particle are \( 10^{-10} \, \text{m} \) and \( 5.27 \times 10^{-24} \, \text{ms}^{-1} \) respectively. Calculate the mass of the particle is (h = \( 6.625 \times 10^{-34} \, \text{Js} \)):

• A. 0.099 kg
• B. 0.99 g
• C. 0.92 kg
• D. None

Hint:

Heisenberg’s uncertainty principle relates the uncertainty in position and momentum of a particle.

Answer 1

The Correct Option is A

Using Heisenberg's uncertainty principle: \[ \Delta x \Delta p \geq \frac{h}{4\pi} \] The momentum \( p = mv \), and solving for the mass gives \( m = 0.099 \, \text{kg} \).
Final Answer: \[ \boxed{0.099 \, \text{kg}} \]