DPP – 11C26 De Broglie & Heisenberg Uncertainty Principle

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DPP – 11C26

De Broglie & Heisenberg Uncertainty Principle

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Q1. Calculate the mass of photon with Ξ» = 3.6 Γ….

(Ans :Β m = 6.1 Γ— 10-29 𝐾𝑔 )

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Q2. Calculate wavelength if kinetic energy is 3.0 Γ— 10-25𝐽.

( Ans : πœ† = 8967 Γ— 10-9Β π‘š )

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Q3. Two particle A & B are in motion. If wavelength of A is 5 Γ— 10βˆ’8m. Find wavelength of B if the relation is 𝑃BΒ = ½ 𝑃A. (𝑃𝐴 = π‘šπ‘œπ‘šπ‘’π‘›π‘‘π‘’π‘š π‘œπ‘“ 𝐴, 𝑃𝐡 = π‘šπ‘œπ‘šπ‘’π‘›π‘‘π‘’π‘š π‘œπ‘“ 𝐡)

( Ans : πœ†BΒ = 10-7π‘š)

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Q4. Calculate the De-Broglie wavelengthΒ of an electronΒ that has been acceleration through from Rest through a potential difference of 1 KV (1000 V).

(Ans :Β v = 1.88 Γ— 107m/s, Ξ» = 3.87 Γ— 10-11π‘š)

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Q5. A microscope using suitable photons is employed to locate an 𝑒 βˆ’ in an atom with a distance of 0.1 Γ…. Calculate the uncertainty in velocity.

(Ans : β–³ Ξ½ = 5.79 Γ— 106Β m/s)

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Q6. A golf ball has mass 40g & speed 45 m/s if speed can be measured within accuracy of 2%. Calculate uncertainty in position.

(Ans :Β β–³π‘₯ = 1.46 Γ— 10-33 m )

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Q7. Prove that 𝑒lectron Β can not exist inside the nucleus by the help of Heisenberg uncertainty principle.

(Ans :β–³ Ξ½ = 5.77 Γ— 1010 m/s , not possible )

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