Home
Class 12
CHEMISTRY
A golf ball has a mass 40g and a speed o...

A golf ball has a mass 40g and a speed of `45 ms^(-1)`. If the speed can be measured with an accuracy of `2%`, calculate the uncertainty in position. 

Text Solution

Verified by Experts

`Deltav=`The uncertainty in spced is `2%=45xx(2)/(100)=0.9ms^(-1)`
Using the equation, `Deltax=(h)/(piDeltav xxm)=(6.626xx10^(-34)kgm^(2)s^(-1))/(4xx3.1416xx0.9ms^(-1)xx40xx10^(-3)kg)=1.46xx10^(-33)m`
This is nearly `10^(18)` times smaller than the diameter of a typical atomic nucleus.
Promotional Banner

Topper's Solved these Questions

  • ATOMIC STRUCTURE

    AAKASH SERIES|Exercise EXERCISE - 1.1.1|13 Videos
  • ATOMIC STRUCTURE

    AAKASH SERIES|Exercise EXERCISE - 1.1.2|13 Videos
  • APPENDICES -REVISION EXERCISE

    AAKASH SERIES|Exercise POLYMERS|44 Videos
  • BIOMOLECULES

    AAKASH SERIES|Exercise OBJECTIVE EXERCISE-4 (ASSERTION (A) & REASON (R) TYPE QUESTIONS :)|84 Videos

Similar Questions

Explore conceptually related problems

A golf ball has a mass 40g and a speed of 45 ms^(-1) . If the speed can be measured with inaccuracy of 2%, calculate the uncertainty in position.

A golf ball has a mass of 40g , and a speed of 45m//s . If the speed can be measured within accuracy of 2% , calculate the uncertainty in the position.

An iron ball has a mass of 35gms and a speed of 50m/s. If the speed can be measured with in accuracy of 2% then the uncertainty in the position

The size of a microscopic particle is 1 micron and its mass is 6 xx 10^(-13)g . If its position may be measured to within 0.1% of its size, the uncertainty in velocity (in cm^(-1) ) is approximately

A machine gun has a mass of 20kg. It fires 35 g bullets at the rate of 4 bullets per second, with a speed of 400 ms^(-1) . What force must be applied to the gun to keep it in position?

A rectangular metal slab of mass 33.333 g has its length 8.0 cm, breadth 5.0 cm and thickness 1mm. The mass is measured with accuracy up to 1 mg with a senstitive balance. The length and breadth are measured with a vernier calipers having a least count of 0.01 cm. The thickness is measured with a screwgauge of least count 0.01 mm. Calculate the percentage accuracy in density from above measurements.

The mass of a particle is 10^(10)g and its radius is 2 xx 10^(-4)cm . If its velocity is 10^(-6) cm sec^(-1) with 0.0001% uncertainty in measurement, the uncertainty in its position is :

AAKASH SERIES-ATOMIC STRUCTURE-QUESTIONS FOR DESCRIPTIVE ANSWERS
  1. A golf ball has a mass 40g and a speed of 45 ms^(-1). If the speed can...

    Text Solution

    |

  2. Calculate their specific charges of fundamental particles.

    Text Solution

    |

  3. How are number of fundamental particles calculated from atomic and mas...

    Text Solution

    |

  4. How are the characteristics of wave inter-related?

    Text Solution

    |

  5. Electromagnetic waves differ from matter waves in many respect. Substa...

    Text Solution

    |

  6. ow energy density in black body radiation depends upon temperature?

    Text Solution

    |

  7. What is the longest wavelength line in Paschen series for hydrogen?

    Text Solution

    |

  8. Define isotopic number. Calculate the isotopic numbers of hydrogen-3 a...

    Text Solution

    |

  9. A bulb emits light of wavelength 4500Å. The bulb is rated as 150 watt ...

    Text Solution

    |

  10. The work function for Cesium atom is 1.9 eV . Calculate the threshold ...

    Text Solution

    |

  11. What is the minimum energy of photons which causes photoelectric effec...

    Text Solution

    |

  12. The energy of the electron in the first Bohr orbit of H is -2.18xx10^(...

    Text Solution

    |

  13. Why the total energy of atomic electron is negative ?

    Text Solution

    |

  14. Calculate the wave number for the longest wavelength transition in the...

    Text Solution

    |

  15. The wavelength of a certain line in Balmer series is 4341 angstroms. T...

    Text Solution

    |

  16. A spectral triplet is obtained for the electronic transition from n = ...

    Text Solution

    |

  17. What transition in the hydrogen emission spectrum have the same wavele...

    Text Solution

    |

  18. Calculate the wave length of an electron moving with a velocity of 2.0...

    Text Solution

    |

  19. The kinetic energy of an electron is 4.55xx10^(-28) kJ. Calculate the ...

    Text Solution

    |

  20. Calculate the product of uncertainties ofdisplacement and velocity of ...

    Text Solution

    |

  21. What isthe maximum number of emission lines observed when the excited ...

    Text Solution

    |