A golf ball has a mass of 40 g and a speed of 45 m/s. If the speed can be measured within accuracy of 2%, calculate the uncertainty in position.
Uncertainty in speed = 2% of 40 ms–1
Applying uncertainty principle
Calculate ionization energy of the hydrogen atom.
The ionisation energy of He+ is . Calculate the energy of first stationary state of Li2+.
The ionization energy of hydrogen in excited state is +0.85 eV. What will be the energy of the photon emitted when it returns to the ground state?
Calculate the wavelength associated with an electron
(mass 9.1 × 10–31 kg) moving with a velocity of 103 m sec–1
(h = 6.6 × 10–34 kg m2 sec–1)
What will be the wavelength of a ball of mass 0.1 kg moving with a velocity of 10 ms–1?
Calculate the mass of a photon with wavelength 3.6 Å.
A microscope using suitable photons is employed to locate an electron in an atom within a distance of 0.1 Å. What is the uncertainty involved in the measurement of its velocity?
Calculate the uncertainty in the velocity of a wagon of mass 3000 kg whose position is known to an accuracy of ±10 pm
(Planck’s constant = 6.63 × 10–34 Js)
Calculate the uncertainty in the position of an electron if the uncertainty in its velocity is 5.7 × 105 m/sec (h = 6.6 × 10–34 kg m2 s–1, mass of the electron = 9.1×10–31 kg).
If an electron is moving with a velocity 600 ms–1 which is accurate upto 0.005%, then calculate the uncertainty in its position.
(h = 6.63 × 10–34 Js, mass of electron = 9.1 × 10–31 kg)