-->

Dual Nature Of Radiation And Matter

Question
CBSEENPH12040110

Young’s double slit experiment is first performed in air and then in a medium other than air. It is found that 8th bright fringe in the medium lies where 5th dark fringe lies in the air. The refractive index of the medium is nearly

  • 1.25

  • 1.59

  • 1.69

  • 1.78

Solution

D.

1.78

straight X subscript 1 space equals space straight X subscript 5 space th space dark end subscript space equals space left parenthesis 2 space straight x space 5 minus 1 right parenthesis space fraction numerator λD over denominator 2 straight d end fraction
straight X subscript 2 space equals space straight X subscript 1 subscript 8 th end subscript space bright space space equals space 8 space λD over μd
straight X subscript 1 space equals space straight X subscript 2
9 over 2 space λD over straight d space equals space 8 λD over μd
straight mu space equals space 16 over 9 space equals space 1.78

Some More Questions From Dual Nature of Radiation and Matter Chapter

Why are infra-red waves often called heat waves? Explain.

What do you understand by the statement, 'Electromagnetic waves transport momentum'?

Wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated this by diffracting electrons from crystals. The law governing the diffraction from a crystal is obtained by requiring that electron waves reflected from the planes of atoms in a crystal interfere constructively (see in the figure).



If a strong diffraction peak is observed when electrons are incident at an angle ‘i’ from the normal to the crystal planes with distance’ between them (see figure), de Broglie wavelength λdB of electrons can be calculated by the relationship (n is an integer) 

Wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated this by diffracting electrons from crystals. The law governing the diffraction from a crystal is obtained by requiring that electron waves reflected from the planes of atoms in a crystal interfere constructively (see in the figure).



In an experiment, electrons are made to pass through a narrow slit of width’ comparable to their de Broglie wavelength. They are detected on a screen at a distance ‘D’ from the slit (see figure). 

Which of the following graph can be expected to represent the number of electrons ‘N’ detected as a function of the detector position ‘y’(y = 0 corresponds to the middle of the slit)? 

The time by a photoelectron to come out after the photon strikes is approximately

An alpha nucleus of energy 1 /2 mv2 bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to 

If I0 is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?