Two particles move at right angle to each other. Their de Broglie wavelengths are and respectively. The particles suffer perfectly inelastic collision. The de Broglie wavelength of the final particle, is given by:
A photodiode sensor is used to measure the output of a lamp kept away The sensor has an opening of in diameter. How many photons enter the sensor if the wavelength of the light is and the exposure time is . (Assume that all the energy of the lamp is given off as light and )
A light beam of intensity is incident normally on a perfectly reflecting surface of sides . The momentum imparted to the surface by the light per second is
Light is incident normally on a completely absorbing surface with an energy flux of . If the surface has an area of , the momentum transferred to the surface in time duration will be:
A (kilo-watt) laser beam of wavelength is used to levitate a thin aluminium disk of same area as the cross-section of the beam. The laser light is reflected by the aluminium disk without any absorption. The mass of the foil is close to,
To excite the spectral line of wavelength of an atom, an excitation energy of is required. The ground state energy of the atom is . The energies of two levels involved in the emission of line are (Assume, , where is Planck's constant and is speed of light)
Two sources of light emit X-rays of wavelength and visible light of wavelength , respectively. Both the sources emit light of the same power . The ratio of the number density of photons of X-rays to the number density of photons of the visible light of the given wavelengths is:
A pulse of light of duration is absorbed completely by a small object initially at rest. Power of the pulse is and the speed of light is . The final momentum of the object is
An electron and a photon have the same wavelength of If E is the energy of the photon and p is the momentum of the electron, the magnitude of in S.I. units is,