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According to the uncertainty principle,...

According to the uncertainty principle,

A

`E=mc^(2)`

B

`Deltax xx Deltap~~h//4pi`

C

`lamda=h//p`

D

`Deltax xx Deltap~~h//6pi`

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The correct Answer is:
To solve the question regarding the Uncertainty Principle, we will break it down step by step. ### Step-by-Step Solution: 1. **Understanding the Uncertainty Principle**: - The Uncertainty Principle is a fundamental concept in quantum mechanics introduced by Werner Heisenberg. It states that it is impossible to simultaneously know both the exact position and exact momentum (which includes velocity) of a particle. 2. **Key Components of the Principle**: - The principle can be mathematically expressed as: \[ \Delta x \cdot \Delta p \geq \frac{h}{4\pi} \] where: - \(\Delta x\) = uncertainty in position - \(\Delta p\) = uncertainty in momentum - \(h\) = Planck's constant 3. **Understanding the Terms**: - Momentum (\(p\)) is defined as the product of mass (\(m\)) and velocity (\(v\)): \[ p = mv \] - Therefore, the uncertainty in momentum can be expressed as: \[ \Delta p = m \cdot \Delta v \] where \(\Delta v\) is the uncertainty in velocity. 4. **Interpreting the Principle**: - The principle implies that if we try to measure the position of a particle very accurately (small \(\Delta x\)), the uncertainty in its momentum (\(\Delta p\)) will increase, and vice versa. This reflects the inherent limitations in our ability to measure quantum systems. 5. **Identifying the Correct Equation**: - From the options provided in the question, we need to identify the equation that corresponds to the Uncertainty Principle. The correct option will be the one that matches the form: \[ \Delta x \cdot \Delta p \geq \frac{h}{4\pi} \] ### Final Answer: The Uncertainty Principle was proposed by Heisenberg and can be expressed mathematically as: \[ \Delta x \cdot \Delta p \geq \frac{h}{4\pi} \]

To solve the question regarding the Uncertainty Principle, we will break it down step by step. ### Step-by-Step Solution: 1. **Understanding the Uncertainty Principle**: - The Uncertainty Principle is a fundamental concept in quantum mechanics introduced by Werner Heisenberg. It states that it is impossible to simultaneously know both the exact position and exact momentum (which includes velocity) of a particle. 2. **Key Components of the Principle**: ...
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MTG IIT JEE FOUNDATION-ATOMIC STRUCTURE -Exercise (Multiple Choice Question)
  1. Which electronic level would allow an atom to absorb a photon but not ...

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  2. The principal quantum number of an atom is related to the

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  3. According to the uncertainty principle,

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  4. When the azimuthal quantum number l = 1, the shape of the orbital will...

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  5. The outermost electronic configuration of the most electronegative ele...

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  6. No two electrons in an atom of an element have

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  7. the orbital diagram in which aufbau principal is violated is :

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  8. If uncertainty in possition of electron is zero, then the uncertainty...

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  9. de-Broglie equation tells about

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  10. When an electron jumps from L to K shell -

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  11. Which of the following orbitals does not exist ?

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  12. Which of the following is not possible ?

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  13. For 4s-orbital, m has the value

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  14. Presence of three unpaired electrons in phosphorus atom can be explain...

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  15. The maximum number of electrons in a subshell is given by the expressi...

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  16. Which of the following relates to photon both as wave motion and as a...

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  17. The number of nodes in 5d orbital is

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  18. For which of the following species, Bohr theory is not applicable ?

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  19. If quantum number for last electron is n=3,l=0,m=0, then atomic number...

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  20. Which of the following transitions have minimum wavelength

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