DPP – 11C26
De Broglie & Heisenberg Uncertainty Principle
Q1. Calculate the mass of photon with λ = 3.6 Å.
(Ans : m = 6.1 × 10-29 𝐾𝑔 )
Q2. Calculate wavelength if kinetic energy is 3.0 × 10-25𝐽.
( Ans : 𝜆 = 8967 × 10-9 𝑚 )
Q3. Two particle A & B are in motion. If wavelength of A is 5 × 10−8m. Find wavelength of B if the relation is 𝑃B = ½ 𝑃A. (𝑃𝐴 = 𝑚𝑜𝑚𝑒𝑛𝑡𝑢𝑚 𝑜𝑓 𝐴, 𝑃𝐵 = 𝑚𝑜𝑚𝑒𝑛𝑡𝑢𝑚 𝑜𝑓 𝐵)
( Ans : 𝜆B = 10-7𝑚)
Q4. Calculate the De-Broglie wavelength of an electron that has been acceleration through from Rest through a potential difference of 1 KV (1000 V).
(Ans : v = 1.88 × 107m/s, λ = 3.87 × 10-11𝑚)
Q5. A microscope using suitable photons is employed to locate an 𝑒 − in an atom with a distance of 0.1 Å. Calculate the uncertainty in velocity.
(Ans : △ ν = 5.79 × 106 m/s)
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 : △𝑥 = 1.46 × 10-33 m )
Q7. Prove that 𝑒lectron can not exist inside the nucleus by the help of Heisenberg uncertainty principle.
(Ans :△ ν = 5.77 × 1010 m/s , not possible )