Dual Nature of ...

A particle $$A$$ of mass $$m$$ and initial velocity $$v$$ collides with a particle $$B$$ of mass $$\cfrac{m}{2}$$ which is at rest. The collision is head on, and elastic. The ratio of the de-Broglie wavelengths $${ \lambda  }_{ A }$$ and $${ \lambda  }_{ B }$$ after the collision is :

The de Broglie wavelength of an electron in a metal at $$27^{\circ}C$$ is $$(Given \, m_e \, = \, 9.1 \, \times \, 10^{-31} \, kg,\,  k_B \, = \, 1.38 \, \times \, 10^{-23} \, J \, K^{-1})$$ 

Two large vertical and parallel metal plates having a separation of $$1\ cm$$ are connected to a $$DC$$ voltage source of potential difference $$X$$. A proton is released at rest midway between the two plates. It is found to move at $${45}^{o}$$ to the vertical JUST after release. Then $$X$$ is nearly

An atom of nuclean change $$q$$ is placed on $$a$$ line. There particles $$A (mass = m, change = q), B(mass = 2, change = q)$$ and $$C (mass = 3m, change = 3q)$$ are shot towards the atom, a distance $$r$$ away from the line and parallel to it. The particle that would be deflected the most would be?

A radiation of energy $$E$$ falls normally on a perfectly reflecting surface. The momentun transferred to the surface is

The uncertainty in position of a particle is same as it's de Broglie wavelength, uncertainty in its momentum is _______

Electrons are accelerated through a potential difference $$V$$ and protons are accelerated through a potential difference $$4V$$. The de-Broglie wavelengths are $${ \lambda  }_{ e }$$ and $${ \lambda  }_{ p }$$ for electrons are protons respectively. The ratio of $$\cfrac { { \lambda  }_{ e } }{ { \lambda  }_{ p } } $$ is given by (given $${m}_{e}$$ is mass of electron and $${m}_{p}$$ is mass of proton)

In a photoelectric experiment anode potential is plotted against plate current. Then:

According to Einstein's photoelectric equation, the plot of the kinetic energy of the emitted photo electrons from a metal $${V}_{s}$$ the frequency, of the incident radiation gives straight line whose slope

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