de Broglie Relation: JEE Questions & Solutions

A particle having electric charge 3 × 10⁻¹⁹ C and mass 6 × 10⁻²⁷ kg is accelerated by applying an electric potential of 1.21 V. Wavelength…

The de Broglie wavelength of an oxygen molecule at 27^°C is x × 10⁻¹² m. The value of x is (take Planck's constant=6.63 × 10⁻³⁴ J/s,…

The ratio of de Broglie wavelength of a deuteron with kinetic energy E to that of an alpha particle with kinetic energy 2E is n:1. (Assume…

A sub-atomic particle of mass 10⁻³⁰ kg is moving with a velocity of 2.21 × 10⁶ m/s. Under the matter wave consideration, the particle will…

An electron of mass m with an initial velocity v = v₀ i (v₀ > 0) enters an electric field E = -E₀ k. If the initial de Broglie wavelength…

A proton of mass m_p has the same energy E as that of a photon of wavelength λ. If the proton is moving at non-relativistic speed, then the…

If λ and K are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correct graphical…

The de-Broglie wavelength of an electron is the same as that of a photon. If the velocity of the electron is 25% of the velocity of light,…

An α-particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in case of their De-Broglie…

Electron beam used in an electron microscope, when accelerated by a voltage of 20 kV, has a de-Broglie wavelength of λ₀. If the voltage is…

The ratio of the de-Broglie wavelength of an α-particle and a proton accelerated from rest through the same potential is 1/√m. The value of…

An electron accelerated through a potential difference V₁ has a de-Broglie wavelength of λ. When the potential is changed to V₂, its…

A proton moving with one-tenth of velocity of light has a certain de-Broglie wavelength λ. An alpha particle having certain kinetic energy…

The kinetic energy of an electron, an α-particle, and a proton are given as 4K, 2K, and K respectively. The de-Broglie wavelength…

If the radius of the first orbit of hydrogen atom is a₀, then de Broglie’s wavelength of electron in the 3^rd orbit is:

Proton (P) and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assume m_p = 1849 mₑ): Options:

The de Broglie wavelength of a molecule in a gas at room temperature (300 K) is λ₁. If the temperature of the gas is increased to 600 K,…

The ratio of the de-Broglie wavelengths of proton and electron having same Kinetic energy: (Assume m_p = mₑ × 1849)

A proton and an α-particle are accelerated from rest by 2V and 4V potentials, respectively. The ratio of their de-Broglie wavelength is:

The de Broglie wavelength of an electron having kinetic energy E is λ. If the kinetic energy of the electron becomes E/4, then its de…