Dual Nature of ...

An X-ray pulse of wavelength 4.9 Å is sent through a section of Wilson cloud chamber containing a super saturated gas, and tracks of photo electron ejected from the gaseous atoms are observed. Two groups of tracks of 1.40 cm and 2.02 cm are noted. If the range-energy relation for cloud chamber is given by R = αE with α =1 cm/keV, obtain the binding energies of the two levels from which electrons are emitted. Given h = 6.63 × 10^–34 J-s, e = 1.6 × 10^–19 J.

The largest distance between the interatomic planes of a crystal is 10^–7 cm. The upper limit for the wavelength of X-rays which can be usefully studied with this crystal is

The wavelength of K_α, X-rays produced by an X-ray tube is 0.76 Å. The atomic number of the anode material of the tube is

X-ray beam of intensity I₀passes through an absorption plate of thickness d. If absorption coefficient of material of plate is µ, the correct statement regarding the transmitted intensity I of X-rays is

The K_α, X-ray emission line of tungsten occurs at λ = 0.021 nm. The energy difference between K and L levels in this atom is about

The X-ray wavelength of L_α line of platinum (Z = 78) is 1.30 Å. The X-ray wavelength of L_α line of Molybdenum (Z = 42) is

The ratio of de-Broglie wavelengths of molecules of hydrogen and helium which are at temperature 27°C and 127°C respectively is

A silver ball of radius 4.8 cm is suspended by a thread in the vacuum chamber. UV light of wavelength 200 nm is incident on the ball for some time during which a total energy of 1 × 10^–7 J falls on the surface. Assuming onan average one out of 10³ photons incident is able to eject electron, the potential on sphere will be

A photon of wavelength 6630 Å is incident on a totally reflecting surface. The momentum delivered by the photon is equal to