Dual Nature of ...

Electrons are emitted from a metal surface on incidence of green colour of light. Among the following group of colours, which group will emit electrons ?

The wavelength of the de-Broglie wave associated with a thermal neutron of mass $$m$$ at absolute temperature $$T$$ is given by: 

The de-Broglie wavelength of a neutron at $$927^{0}$$C is$$\lambda$$. Its wavelength at $$27^{0}$$C is:

STATEMENT-1 : In photoelectric experiment the ejected electrons have same kinetic energy.
STATEMENT-2 : According to Einstein kinetic energy of every ejected electron is the difference in the energy of a photon and the work function of the metal.

Select correct alternative :
Statement -1 : An electric dipole can not produce zero electric field at a point which is situated at finite distance from the dipole.
Statement -2 : Mass of a moving photon is proportional to $$ \lambda^{-1} $$ .
Statement -3 : Equation of continuity for fluid is based on conservation of volume.

A charge particle $$q_0$$ of mass $$m_0$$ is projected along the y-axis at $$t = 0$$ from origin with a velocity $$V_0.$$ If a uniform electric field $$E_0$$ also exists along the x-axis, then the time at which de Broglie wavelength of the particle becomes half of the initial value is :

If a strong diffraction peak is observed when electrons are incident at an angle `$$\mathrm{i}$$' from the normal to the crystal planes with distance `d' between them (see figure), de Broglie wavelength $$\lambda_{\mathrm{d}\mathrm{B}}$$ of electrons can be calculated by the relationship $$(\mathrm{n}$$ is an integer):

A small 50 kg vehicle is designed to be moved in free space by a lamp which emits 100 watts of red light of $$\lambda = 6630  A^o$$. What is its acceleration?

STATEMENT - 1 : In photoelectric experiment the ejected electrons have a wide range of kinetic energy even if the photons striking the surface have same energy.
STATEMENT - 2 : According to Einstein electrons can absorb any fraction of the energy of the striking photon.

If a hydrogen atom at rest, emits a photon of wavelength $$\lambda ,$$ the recoil speed of the atom of mass $$'m'$$ is given by