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In the figure shown S is a point monochromatic light source of frequency `6xx10^(14)Hz`.M is a concave mirror of radius of curvature 20 cm and L is a thin converging lens of focal length 3.75 cm AB is the principal axis of M and L.
Light reflected from the mirror and refracted from the lens in succession reaches the screen. An interference pattern is obtained on the screen by this arrangement.
Q. Distance between two coherent sources whichmakes interference pattern on the screen is
In the figure shown S is a point monochromatic light source of frequency `6xx10^(14)Hz`.M is a concave mirror of radius of curvature 20 cm and L is a thin converging lens of focal length 3.75 cm AB is the principal axis of M and L.
Light reflected from the mirror and refracted from the lens in succession reaches the screen. An interference pattern is obtained on the screen by this arrangement.
Q. Distance between two coherent sources whichmakes interference pattern on the screen is
A
1 mm
B
0.5 mm
C
1.5 mm
D
0.25 mm
Text Solution
Verified by Experts
The correct Answer is:
B
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Wavelength of light `lamda=(c)/(f)=5xx10^(-7)m`
image formed by M: `(1)/(v)+(1)/(-30)=(1)/(-10)impliesv=-15` cm also `M=-(v)/(u)=-(-15)/(-30)=-(1)/(2)`
This will be located at 15 cm left of M and 0.5 mm above the line AB.
This will act as an object for the lens L.
Now for the lens `u=-7.5cm ` and `m=(v)/(u)=(7.5)/(-7.5)=-1`
So it will be at 7.5 cm to the left of L and 0.5 mm below line AB. see the ray diagram second image `I_(2)` and source S will act as two slits (as im YDSE) to produce the interference pattern. distance between them =0.5 mm(=d)
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Knowledge Check
In the figure shown S is a point monochromatic light source of frequency 6xx10^(14)Hz .M is a concave mirror of radius of curvature 20 cm and L is a thin converging lens of focal length 3.75 cm AB is the principal axis of M and L. Light reflected from the mirror and refracted from the lens in succession reaches the screen. An interference pattern is obtained on the screen by this arrangement. Q. Fringe width is
In the figure shown S is a point monochromatic light source of frequency 6xx10^(14)Hz .M is a concave mirror of radius of curvature 20 cm and L is a thin converging lens of focal length 3.75 cm AB is the principal axis of M and L. Light reflected from the mirror and refracted from the lens in succession reaches the screen. An interference pattern is obtained on the screen by this arrangement. Q. Fringe width is
A
1 mm
B
0.5 mm
C
1.5 mm
D
0.25 mm
In the figure shown S is a point monochromatic light source of frequency 6xx10^(14)Hz .M is a concave mirror of radius of curvature 20 cm and L is a thin converging lens of focal length 3.75 cm AB is the principal axis of M and L. Light reflected from the mirror and refracted from the lens in succession reaches the screen. An interference pattern is obtained on the screen by this arrangement. Q. If the lens is replaced by another converging lens of focal length (10)/(3)cm and the lens is shifted towards right by 2.5 cm then
In the figure shown S is a point monochromatic light source of frequency 6xx10^(14)Hz .M is a concave mirror of radius of curvature 20 cm and L is a thin converging lens of focal length 3.75 cm AB is the principal axis of M and L. Light reflected from the mirror and refracted from the lens in succession reaches the screen. An interference pattern is obtained on the screen by this arrangement. Q. If the lens is replaced by another converging lens of focal length (10)/(3)cm and the lens is shifted towards right by 2.5 cm then
A
fringe width remains same
B
intensity of pattern will remain same
C
fringe width will change
D
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A candle is placed at a distance of 20 cm from a converging lens of focal length 15 cm. The image obtained on the screen is:
A
upright and magnified
B
inverted and magnified
C
inverted and diminished
D
upright and diminished.
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