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Statement-I : In Young's double slit exp...

Statement-I : In Young's double slit experiment interference pattern dissappears when one of the slits is closed
Statement-II : Interference is observed due to superposition of light waves from two coherent source

A

Statement-1 is true, statement-2 is true: Statement-2 is a correct explanation for statement-1

B

Statement-2 is true, statement-2 is true: statement-2 is not a correct explanation for statement-1

C

Statement-1 is true, Statement-2 is false.

D

Statement-1 is false, Statement-2 is true.

Text Solution

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The correct Answer is:
B
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Statement-1: In Young's double slit experiment the two slits are at distance d apart. Interference pattern is observed on a screen at distance D from the slits. At a poit on the screen when it is directly opposite to one of the slits, a dard fringe is observed then the wavelength of wave is proportional of square of distance of two slits. Statement-2: In Young's double slit experiment, for identical slits, the intensity of a dark fringe is zero.

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An electromagnetic wave can be represented by E = A sin (kx- omega t + phi) , where E is electric field associated with wave, According this equation, for any value of x, E remains sinusoidal for -oolt t lt oo . Obviously this corresponds to an idealised situation because radiation from ordinary sources consists of finite size wavetrains. In general, electric field remains sinusoidal only for times of order tau_(c) ' which is called coherence time. In simpler language it means that for times of order tau_(c)' a wave will have a definite phase. The finite value of coherence time could be due to many factors, for example if radiating atom undergoes collision with another atom then wave train undergoes an abrupt phase change or due to the fact that an atom responsible for emitting radiation has a finite life time in the energy level from which it drops to lower energy level, while radiating. Concept of coherence time can be easily understood using young's double slit experiment. Let interference patten is observed around point P at time t , due to superposition of waves emanting from S_(1) and S_(2) at times t =(r_(1))/(c) and (r_(2))/(c) respectively, where r_(1) and r_(2) are the distances S_(1) P & S_(2)P . Obviously if (r_(2)-r_(1))/(c) lt lt tau_(e),{"where" " "c = 3xx10^(8)m//s} then, wavetrain arriving at point P from S_(1) & S_(2) will have a definite phase relationship and an interference pattern of good contranst will be obtained. If coherence time is of order 10^(-10) second and screen is placed at a very large distance from slits in the given figure, then:-

In a double slit experiment, instead of taking slits of equal widths, one slit is made twice as wide as the other then in the interference pattern.

A Young's double slit experiment uses a monochromatic source. The shape of the interference fringes formed on a screen is.....

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In a young's double slit experiment, green light is incident on the two slits. The interference pattern is observed on a screen. Which of the following changes would cause the observed fringes to be more closely spaced?

ALLEN -WAVE OPTICS-Exercise 3 (Miscellaneous type Questions)
  1. Statement-1: if white light is used in YDSE, then the central bright f...

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  2. Statement-1: In YDSE, if a thin film is indroduced in front of the upp...

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  3. Statement-I : In Young's double slit experiment interference pattern d...

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  4. Statement-1: In YDSE central maxima means the maxima formed with zero ...

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  5. Assertion (A) : The phase difference between any two points on a wave ...

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  6. Statement-1: As light travels from one medium to another, thhe frequen...

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  7. Assertion (A) : No interfrence pattern is detected when two coherent s...

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  8. The lens governing the behavior of the rays namely rectilinear propaga...

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  9. The lens governing the behavior of the rays namely rectilinear propaga...

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  10. The lens governing the behavior of the rays namely rectilinear propaga...

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  11. Huygen was the figure scientist who proposed the idea of wave theory o...

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  12. Huygen was the figure scientist who proposed the idea of wave theory o...

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  13. Huygen was the figure scientist who proposed the idea of wave theory o...

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  14. Huygen was the figure scientist who proposed the idea of wave theory o...

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  15. Huygen was the figure scientist who proposed the idea of wave theory o...

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  16. Huygen was the figure scientist who proposed the idea of wave theory o...

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  17. The figure shows the interfernece pattern obtained in double slit expe...

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  18. The figure shows the interfernece pattern obtained in double slit expe...

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  19. The figure shows the interfernece pattern obtained in double slit expe...

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  20. The figure shows a schematic diagram showing the arrangements of Youn...

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