A deuteron (mass $2$ u, charge $+e$) and an $\alpha$-particle (mass $4$ u, charge $+2e$) are both accelerated from rest through the same potential difference. The ratio ${\lambda }_d/{\lambda }_{\alpha }$ is

More questions on de Broglie wavelength and uncertainty principle

• Which of the following are consistent with Heisenberg's uncertainty principle Delta x Delta p ge h/4pi? JEE Main level
• In the Bohr model the electron wavelength in an orbit satisfies nlambda = 2pi r_n with r_n propto n^2/Z. The ratio of the electron's de Brog... JEE Advanced level
• A photon and an electron each have a wavelength of 1.00 AA. Using h = 6.626x10^-34 J s, c = 3.0x10^8 m s^-1, m_e = 9.1x10^-31 kg and 1 eV = ... JEE Advanced level
• Treat an electron as a standing wave in a one-dimensional box of length L (lambda = 2L/n) with E = p^2/2m. If the box length is doubled, the... JEE Advanced level
• An electron is treated as a standing de Broglie wave in a one-dimensional box of length 0.50 nm with lambda = 2L/n and purely kinetic energy... JEE Advanced level
• In the Bohr model of hydrogen, the circumference of an orbit equals nlambda and r_n = n^2 a_0 with a_0 = 0.529 AA. Find the de Broglie wavel... JEE Advanced level