Question
A thin slice is cut out of a glass cylinder along a plane parallel to its axis. The slice is placed on a flat glass plate as shown. The observed interference fringes from this combination shall be
![](data:image/png;base64,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)
- Straight
- Circular
- Equally spaced
- Having fringe spacing which increases as we go outwards
The correct answer is: Straight
The cylindrical surface touches the glass plate along a line parallel to axis of cylinder. The thickness of wedge shaped film increases on both sides of this line. Locus of equal path difference are the lines running parallel to the axis of the cylinder. Hence straight fringes are obtained.
Related Questions to study
A ray of light of intensity I is incident on a parallel glass-slab at a point A as shown in fig. It undergoes partial reflection and refraction. At each reflection 25% of incident energy is reflected. The rays AB and AB undergo interference. The ratio
is
![](data:image/png;base64,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)
A ray of light of intensity I is incident on a parallel glass-slab at a point A as shown in fig. It undergoes partial reflection and refraction. At each reflection 25% of incident energy is reflected. The rays AB and AB undergo interference. The ratio
is
![](data:image/png;base64,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)
If X and Y are two independent variables with means 5 and 10 and variances 4 and 9 respectively. If
, then r (U, V) is equal to-
If X and Y are two independent variables with means 5 and 10 and variances 4 and 9 respectively. If
, then r (U, V) is equal to-
For the reaction If 1 mol of
,then the value of in the reaction is
For the reaction If 1 mol of
,then the value of in the reaction is
Light wave is travelling along y-direction. If the corresponding
vector at any time is along the x-axis, the direction of
vector at that time is along
![](data:image/png;base64,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)
Light wave is travelling along y-direction. If the corresponding
vector at any time is along the x-axis, the direction of
vector at that time is along
![](data:image/png;base64,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)
The intensity of gamma radiation from a given source is I. On passing through 36 mm of lead, it is reduced to
. The thickness of lead which will reduce the intensity to
will be
The intensity of gamma radiation from a given source is I. On passing through 36 mm of lead, it is reduced to
. The thickness of lead which will reduce the intensity to
will be
If
, then the value of
is-
If
, then the value of
is-
An organic Compound
forms a precipitate with Tollens and Fehling’s regents. (A) has an isomer (B) . (B) reacts with 1 mol of
to form 1, 4 dibromo-2-butene. (A) and (B) are:
An organic Compound
forms a precipitate with Tollens and Fehling’s regents. (A) has an isomer (B) . (B) reacts with 1 mol of
to form 1, 4 dibromo-2-butene. (A) and (B) are:
In alkaline medium,
and is itself reduced to
How many moles of
are oxidized by 1 mol of ![ClO subscript 2](data:image/png;base64,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)
In alkaline medium,
and is itself reduced to
How many moles of
are oxidized by 1 mol of ![ClO subscript 2](data:image/png;base64,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)
Figure represents a glass plate placed vertically on a horizontal table with a beam of Unpolarised light falling on its surface at the Polarising angle of
with the normal. The electric vector in the reflected light on screen S will vibrate with respect to the plane of incidence in a
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)
Figure represents a glass plate placed vertically on a horizontal table with a beam of Unpolarised light falling on its surface at the Polarising angle of
with the normal. The electric vector in the reflected light on screen S will vibrate with respect to the plane of incidence in a
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)
An aromatic compound
on oxidation with acidic
gives dibasic acid.The compound (A) on nitration gives three isomeric nitro derivatives.The compound (A) is:
An aromatic compound
on oxidation with acidic
gives dibasic acid.The compound (A) on nitration gives three isomeric nitro derivatives.The compound (A) is:
If A = {x : x
N, x is a factor of 6} and B = {x
N : x is a factor of 8} then
is
When we have to find intersection of two sets, we have to find their common elements. When we have to find union of two sets, we have to consider all the elements of both the sets.
If A = {x : x
N, x is a factor of 6} and B = {x
N : x is a factor of 8} then
is
When we have to find intersection of two sets, we have to find their common elements. When we have to find union of two sets, we have to consider all the elements of both the sets.
Which of the following is not an intra molecular redox reaction?
Which of the following is not an intra molecular redox reaction?
The roster form of the set A = {x : x
N, x < 8} is
Roster form gives us list of all elements of the sets. Set builder form gives the details of the set in compact form.
The roster form of the set A = {x : x
N, x < 8} is
Roster form gives us list of all elements of the sets. Set builder form gives the details of the set in compact form.
The appropriate reagent for the following transformation is:
The appropriate reagent for the following transformation is: