Q. In a double displacement reaction, which of the following pairs will react? (2021)
A.
NaCl + AgNO3
B.
HCl + NaOH
C.
CaCl2 + Na2SO4
D.
All of the above
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Solution
All the given pairs can undergo double displacement reactions.
Correct Answer:
D
— All of the above
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Q. In a double-elimination tournament, a team is eliminated after losing two matches. If there are 8 teams, what is the minimum number of matches needed to declare a winner?
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Solution
In a double-elimination tournament, the minimum number of matches needed is 2n - 2, where n is the number of teams. For 8 teams, it is 2(8) - 2 = 14.
Correct Answer:
A
— 14
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Q. In a double-slit experiment, if the distance between the screen and the slits is increased, what happens to the fringe separation?
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes zero
Show solution
Solution
Fringe separation is directly proportional to the distance from the slits to the screen; increasing this distance increases fringe separation.
Correct Answer:
A
— It increases
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Q. In a double-slit experiment, if the distance between the slits is 0.1 mm and the screen is 1 m away, what is the fringe separation for light of wavelength 500 nm? (2020)
A.
0.5 mm
B.
0.1 mm
C.
0.2 mm
D.
0.3 mm
Show solution
Solution
Fringe separation (β) = λD/d = (500 x 10^-9 m)(1 m)/(0.1 x 10^-3 m) = 0.5 mm.
Correct Answer:
A
— 0.5 mm
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Q. In a double-slit experiment, if the distance between the slits is 0.2 mm and the distance to the screen is 1 m, what is the fringe width for light of wavelength 600 nm?
A.
0.3 mm
B.
0.6 mm
C.
0.9 mm
D.
1.2 mm
Show solution
Solution
Fringe width β = λD/d = (600 x 10^-9 m)(1 m)/(0.2 x 10^-3 m) = 0.003 m = 0.6 mm.
Correct Answer:
B
— 0.6 mm
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Q. In a double-slit experiment, if the distance between the slits is 0.5 mm and the wavelength of light is 400 nm, what is the distance between the first and second bright fringes?
A.
0.4 m
B.
0.8 m
C.
1.2 m
D.
1.6 m
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Solution
Distance between fringes = β = λD/d. For first and second bright fringes, the distance is 2β.
Correct Answer:
B
— 0.8 m
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Q. In a double-slit experiment, if the distance between the slits is 0.5 mm and the distance to the screen is 2 m, what is the distance between the first and second bright fringes if the wavelength of light used is 500 nm?
A.
0.5 cm
B.
1 cm
C.
1.5 cm
D.
2 cm
Show solution
Solution
Using the formula for fringe separation, y = (λD)/d, we find y = (500 x 10^-9 m * 2 m) / (0.5 x 10^-3 m) = 2 cm.
Correct Answer:
B
— 1 cm
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Q. In a double-slit experiment, if the distance between the slits is doubled while keeping the wavelength constant, what happens to the fringe width?
A.
Doubles
B.
Halves
C.
Remains the same
D.
Quadruples
Show solution
Solution
Fringe width (β) is given by β = λD/d, where d is the distance between the slits. If d is doubled, β is halved.
Correct Answer:
B
— Halves
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Q. In a double-slit experiment, if the distance between the slits is doubled, how does the fringe width change?
A.
Doubles
B.
Halves
C.
Remains the same
D.
Quadruples
Show solution
Solution
Fringe width (β) is inversely proportional to the distance between the slits (d). If d is doubled, β is halved.
Correct Answer:
B
— Halves
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Q. In a double-slit experiment, if the distance between the slits is doubled, what happens to the fringe width?
A.
Doubles
B.
Halves
C.
Remains the same
D.
Quadruples
Show solution
Solution
Fringe width (β) is given by β = λD/d, where d is the distance between the slits. If d is doubled, β becomes β/2, hence the fringe width halves.
Correct Answer:
B
— Halves
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Q. In a double-slit experiment, if the distance between the slits is doubled, what happens to the fringe separation on the screen?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
The fringe separation is inversely proportional to the distance between the slits; thus, if the distance is doubled, the fringe separation halves.
Correct Answer:
B
— It halves
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Q. In a double-slit experiment, if the distance between the slits is halved, what happens to the fringe separation on the screen?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
The fringe separation is inversely proportional to the distance between the slits; halving the distance doubles the fringe separation.
Correct Answer:
A
— It doubles
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Q. In a double-slit experiment, if the distance between the slits is increased, what happens to the interference pattern?
A.
Fringes become wider
B.
Fringes become narrower
C.
Fringes disappear
D.
Fringes remain unchanged
Show solution
Solution
Increasing the distance between the slits (d) causes the fringe width (β) to decrease, making the fringes narrower.
Correct Answer:
B
— Fringes become narrower
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Q. In a double-slit experiment, if the distance between the slits is increased, what happens to the number of visible fringes on the screen?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
Increasing the distance between the slits decreases the fringe width, which can lead to more visible fringes within a given distance on the screen.
Correct Answer:
B
— Decreases
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Q. In a double-slit experiment, if the distance between the slits is increased, what happens to the position of the interference fringes? (2020)
A.
Fringes move closer together
B.
Fringes move further apart
C.
Fringes disappear
D.
Fringes remain unchanged
Show solution
Solution
Increasing the slit separation d decreases the fringe width, causing the fringes to move closer together.
Correct Answer:
A
— Fringes move closer together
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Q. In a double-slit experiment, if the distance between the slits is increased, what happens to the distance between the interference fringes? (2021)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
The distance between the fringes decreases as fringe width β = λD/d; increasing d reduces β.
Correct Answer:
B
— Decreases
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Q. In a double-slit experiment, if the distance to the screen is increased, what happens to the fringe pattern?
A.
Fringe width decreases
B.
Fringe width increases
C.
Fringe pattern disappears
D.
Fringe pattern becomes sharper
Show solution
Solution
Increasing the distance to the screen increases the fringe width, as fringe width is proportional to the distance from the slits.
Correct Answer:
B
— Fringe width increases
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Q. In a double-slit experiment, if the distance to the screen is increased, what happens to the fringe separation?
A.
Fringe separation decreases
B.
Fringe separation increases
C.
Fringe separation remains the same
D.
Fringe separation becomes zero
Show solution
Solution
Fringe separation is directly proportional to the distance from the slits to the screen (D), so increasing D increases the fringe separation.
Correct Answer:
B
— Fringe separation increases
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Q. In a double-slit experiment, if the distance to the screen is increased, what happens to the interference pattern?
A.
Fringe width decreases
B.
Fringe width increases
C.
Fringe pattern disappears
D.
Fringe spacing remains unchanged
Show solution
Solution
Increasing the distance to the screen increases the fringe width, as fringe width is proportional to the distance from the slits.
Correct Answer:
B
— Fringe width increases
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Q. In a double-slit experiment, if the intensity of light at the center of the fringe pattern is I0, what is the intensity at the first minimum?
A.
0
B.
I0
C.
I0/2
D.
I0/4
Show solution
Solution
At the first minimum, the intensity is 0 due to destructive interference.
Correct Answer:
A
— 0
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Q. In a double-slit experiment, if the light source is changed from monochromatic to polychromatic, what happens to the interference pattern? (2019)
A.
Pattern becomes sharper
B.
Pattern becomes broader
C.
Pattern disappears
D.
Pattern remains unchanged
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Solution
Using polychromatic light results in overlapping patterns of different wavelengths, causing the overall pattern to become broader.
Correct Answer:
B
— Pattern becomes broader
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Q. In a double-slit experiment, if the screen distance is increased, what happens to the fringe separation?
A.
Fringe separation increases
B.
Fringe separation decreases
C.
Fringe separation remains the same
D.
Fringe separation becomes zero
Show solution
Solution
Fringe separation is directly proportional to the distance from the slits to the screen (D), hence it increases.
Correct Answer:
A
— Fringe separation increases
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Q. In a double-slit experiment, if the screen is moved further away from the slits, what effect does this have on the fringe spacing?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
Moving the screen further away increases the fringe spacing, as fringe width is directly proportional to the distance from the slits.
Correct Answer:
A
— Increases
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Q. In a double-slit experiment, if the screen is moved further away from the slits, what happens to the fringe pattern?
A.
Fringes become wider
B.
Fringes become narrower
C.
Fringe intensity increases
D.
Fringe intensity decreases
Show solution
Solution
Moving the screen further away increases the distance (D) in the fringe width formula, causing the fringes to become wider.
Correct Answer:
A
— Fringes become wider
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Q. In a double-slit experiment, if the screen is moved further away from the slits, what happens to the fringe separation? (2019)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
Moving the screen further away increases the fringe separation, as fringe width β = λD/d; increasing D increases β.
Correct Answer:
A
— Increases
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Q. In a double-slit experiment, if the wavelength of light is 600 nm and the distance between the slits is 0.5 mm, what is the fringe width if the screen is 1 m away?
A.
0.12 mm
B.
0.3 mm
C.
0.6 mm
D.
0.5 mm
Show solution
Solution
Fringe width β = λD/d = (600 x 10^-9 m)(1 m)/(0.5 x 10^-3 m) = 0.12 mm.
Correct Answer:
A
— 0.12 mm
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Q. In a double-slit experiment, if the wavelength of light is halved, what happens to the fringe width? (2020)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
Fringe width (β) is given by β = λD/d. If λ is halved, β will also be halved.
Correct Answer:
A
— It doubles
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Q. In a double-slit experiment, if the wavelength of light is increased, what happens to the distance between the fringes?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
The distance between the fringes increases with an increase in wavelength, as fringe separation is directly proportional to wavelength.
Correct Answer:
A
— Increases
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Q. In a double-slit experiment, what happens to the interference pattern if the distance between the slits is increased?
A.
Pattern becomes wider
B.
Pattern becomes narrower
C.
No change
D.
Pattern disappears
Show solution
Solution
Increasing the distance between the slits decreases the fringe width, making the pattern narrower.
Correct Answer:
B
— Pattern becomes narrower
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Q. In a double-slit experiment, what is the effect of increasing the distance between the slits on the fringe width?
A.
Fringe width increases
B.
Fringe width decreases
C.
Fringe width remains constant
D.
Fringe width becomes zero
Show solution
Solution
Increasing the distance between the slits increases the fringe width because the angle of diffraction increases.
Correct Answer:
A
— Fringe width increases
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