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STATEMENT-1 : Deltax : Deltap = (h)/(4pi...

STATEMENT-1 `:` `Deltax : Deltap = (h)/(4pi)` is not applicable for macroscope particles.
STATEMENT-2 `:` p,orbital is an example of gerade.
STATEMENT-3 `:` Due to production of matter waves, energy of the moving system decreases

A

T T T

B

T T F

C

T F T

D

T F F

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements provided, we will evaluate each statement step by step to determine their truthfulness. ### Step 1: Evaluate Statement 1 **Statement 1:** `Δx : Δp = (h)/(4π)` is not applicable for macroscopic particles. - **Explanation:** The equation Δx * Δp ≥ h/4π is known as the Heisenberg Uncertainty Principle. It indicates that there is a fundamental limit to the precision with which certain pairs of physical properties of a particle, such as position (Δx) and momentum (Δp), can be known simultaneously. This principle is significant in quantum mechanics, particularly for microscopic particles like electrons. For macroscopic particles (like a baseball), the uncertainties in position and momentum are negligible, making this principle not applicable. - **Conclusion:** This statement is **True**. ### Step 2: Evaluate Statement 2 **Statement 2:** p orbital is an example of gerade. - **Explanation:** In quantum chemistry, orbitals are classified as "gerade" (g) or "ungerade" (u) based on their symmetry properties. A "gerade" orbital does not change sign upon inversion through the origin, while an "ungerade" orbital does. The p orbital, when analyzed, shows that it changes sign when rotated (it has both positive and negative lobes). Therefore, it is classified as "ungerade". - **Conclusion:** This statement is **False**. ### Step 3: Evaluate Statement 3 **Statement 3:** Due to the production of matter waves, the energy of the moving system decreases. - **Explanation:** According to the principles of quantum mechanics, when a system emits matter waves (like photons in the case of electromagnetic radiation), it loses energy. The energy is conserved in the sense that it is transformed from one form to another, but the total energy of the system decreases as it radiates energy away in the form of waves. - **Conclusion:** This statement is **True**. ### Final Evaluation of Statements - **Statement 1:** True - **Statement 2:** False - **Statement 3:** True ### Summary of Results - The combination of the statements is: Statement 1 is True, Statement 2 is False, Statement 3 is True.
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