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

Correct option is

 

Uncertainty in speed = 2% of 40 ms–1  

   

Applying uncertainty principle   

             

               

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SIMILAR QUESTIONS

Q1

Calculate ionization energy of the hydrogen atom.

Q2

The ionisation energy of He+ is . Calculate the energy of first stationary state of Li2+.

Q3

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?

Q4

 

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)

Q5

What will be the wavelength of a ball of mass 0.1 kg moving with a velocity of 10 ms–1?

Q6

Calculate the mass of a photon with wavelength 3.6 Å.

Q7

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?  

Q8

 

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) 

Q9

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).

Q10

 

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)