## Question

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.

### Solution

Uncertainty in speed = 2% of 40 ms^{–1}

Applying uncertainty principle

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#### SIMILAR QUESTIONS

Calculate ionization energy of the hydrogen atom.

The ionisation energy of He^{+} is . Calculate the energy of first stationary state of Li^{2+}.

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 10^{3} m sec^{–1}

(*h* = 6.6 × 10^{–34} kg m^{2} 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 × 10^{5} m/sec (*h* = 6.6 × 10^{–34} kg m^{2} 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)