Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2021
Exam
BITSAT
Year
2021
Subject
Chemistry
Chapter
Structure of Atom

BITSAT 2021 · Chemistry · Structure of Atom

Calculate the wavelength (in nanometer) associated with a proton...

Calculate the wavelength (in nanometer) associated with a proton moving at 1.0×103 ms−11.0 \times 10^{3} \mathrm{~ms}^{-1}. (Mass of proton =1.67×10−27 kg=1.67 \times 10^{-27} \mathrm{~kg} and h=6.63×10−34Js)\left.\mathrm{h}=6.63 \times 10^{-34} \mathrm{Js}\right)

Options

  1. A0.40nm0.40 \mathrm{ nm}
  2. B2.5nm2.5 \mathrm{ nm}
  3. C14.0nm14.0 \mathrm{ nm}
  4. D0.32nm0.32 \mathrm{ nm}

Correct answer

A. 0.40nm0.40 \mathrm{ nm}

Step-by-step solution

λ=hmv=6.63×10−341.67×10−27×1×103=3.97×10−10 meter =0.397 nanometer ≈0.40nm\begin{aligned} \lambda &=\frac{h}{m v}=\frac{6.63 \times 10^{-34}}{1.67 \times 10^{-27} \times 1 \times 10^{3}} \\ &=3.97 \times 10^{-10} \text{ meter }=0.397 \text{ nanometer } \approx 0.40 \mathrm{ nm} \end{aligned}
Practice Structure of Atom on Quantrex Academy →

More from Structure of Atom

The degeneracy of hydrogen atom that has energy equal to -R_ H 9 is (where, R_ H =… BITSAT 2024If the de-broglie wavelength of a particle of mass (m) is 100 times its velocity. Then… BITSAT 2024The energy of second orbit of hydrogen atom is -5.45 × 10^ -19 J . What is the energy of… BITSAT 2024A photon of wavelength 3000 Ã… strikes a metal surface. The work function of the metal is… BITSAT 2024A stream of electrons from a heated filament was passed between two charged plates kept… BITSAT 2024Observe the given boundary surface diagrams of two orbitals I and II and choose the… BITSAT 2023If the radius of the 3 rd Bohr's orbit of hydrogen atom is r_3 and the radius of 4^ th… BITSAT 2023The Bohr orbit radius for the hydrogen atom (n=1) is approximately 0.530 Å . The radius… BITSAT 2023 Full Structure of Atom list All BITSAT PYQs