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All questions of November Week 3 for JEE Exam

The focal length of a convex lens (refractive index = 1.5) in air is 20 cm. When immersed in water (refractive index = 1.33), its focal length will be​
  • a)
    20.2cm
  • b)
    78.23 cm
  • c)
    7.23 cm
  • d)
    2.02 cm
Correct answer is option 'B'. Can you explain this answer?

Nikita Singh answered
Focal length in air = 20 cm
Refractive index of air-water n₁= 1.33
Refractive index of air - glass n₂= 1.5
For focal length in air,
Using formula of lens
1/fair={(n2/n1)-1}(1/R1)-(1/R2)
Put the value into the formula
1/20={(1.5/1)-1}{(1/R1)-(1/R2)}
1/20=0.5{(1/R1)-(1/R2)}…1
We need to calculate the focal length in water
Using formula of lens
1/fwater={(1.5/1.33)-1}{(1/R1)-(1/R2)}
1/fwater=0.128{(1/R1)-(1/R2)}….2
fwater/20=0.5/0.128
fwater=78.125cm

Power of the lens is -40, its focal length is         
  • a)
    4m         
  • b)
    -40m         
  • c)
    -0.25m         
  • d)
    -25m
Correct answer is option 'C'. Can you explain this answer?

Jyoti Sengupta answered
The power of a lens is the reciprocal of the focal length with measurement in metres. The unit is diopter.
It is given that the focal length of a convex lens is 10 cm = 0.1 m.
⇒ The power of the lens is 1/0.1= 10 diopter.

A convex and a concave mirror of radii 10 cm each are facing each other and 15 cm apart. A point object is placed midway between them. Then position of the final image if the reflection first takes place at the concave mirror and then in the convex mirror is
  • a)
    at the pole of the concave mirror
  • b)
    at the pole of the convex mirror
  • c)
    5 cm behind the convex mirror
  • d)
    coincident with the object itself
Correct answer is option 'B'. Can you explain this answer?

Aayush Agarwal answered
It will be best understood if you make a scale diagram. I will advice you do so and simultaneously read the answer. at first the reflection takes place at concave mirror. the objeCt is at a distance of 7.5cm from it. and 2.5cm from its focus. thereby the image shall be made in front of the mirror. next the image made will act as an object for the convex Mirror. and then it will make the image at its pole. if you arent still able to understand, do let me know

______ mirror is called as diverging mirror
  • a)
    Concave
  • b)
    Plane
  • c)
    Convex
  • d)
    Both b and c
Correct answer is option 'C'. Can you explain this answer?

Preeti Iyer answered
Concave mirror is called a converging mirror because parallel rays of light fall on the mirror they converge at a point called focus. Convex mirror is called a diverging mirror because parallel rays of light fall on it they diverge after reflection.

In a concave mirror when the object is located beyond C the magnification is
  • a)
    More than 1
  • b)
    Equal to 1
  • c)
    Less than 1
  • d)
    Both a and b
Correct answer is option 'C'. Can you explain this answer?

Rajeev Saxena answered
In the animation above, a right-side-up object is located above the principal axis at a position beyond the center of curvature (C). The ray diagram shows that the image of this object is located as an upside-down image positioned between the center of curvature (C) and the focal point (F). In fact, it can be generalized that anytime the object is located beyond the center of curvature, the image will be located somewhere between the center of curvature and the focal point. In such cases, the image will be inverted and reduced in size (i.e., smaller than the object). Such images are called real images because they are formed by the actual convergence of reflected light rays at the image location. Real images are always formed on the same side of the mirror as the object.

Newtonian reflecting type telescope uses
  • a)
    Concave mirror
  • b)
    Convex lens
  • c)
    Concave lens
  • d)
    Convex mirror
Correct answer is option 'B'. Can you explain this answer?

A reflecting telescope (also called a reflector) is a telescope that uses a single or a combination of curved mirrors that reflect light and form an image. The reflecting telescope was invented in the 17th century, by Isaac Newton, as an alternative to the refracting telescope which, at that time, was a design that suffered from severe chromatic aberration. Although reflecting telescopes produce other types of optical aberrations, it is a design that allows for very large diameter objectives.

Astronomical (reflecting) telescopes. In a reflecting telescope, instead of a convex objective lens, a concave mirror is used to collect parallel rays from the object and form an image at the focal point. Then the convex eyepiece lens is used to magnify this image for the viewer.

Which can be deduced correctly regarding keto-enol tautomerism in general?
  • a)
    Increasing temperature increases the enol content at equilibrium
  • b)
    Mono-enols are usually more stable than dienols
  • c)
    Enols of ketones are generally more stable than enols of aliphatic aldehydes
  • d)
    Keto-enol taytomerism is catalysed by both acidic and basic catalys
Correct answer is option 'A,B,C,D'. Can you explain this answer?

Increasing temperature increases equilibrium content of less stable enol tautomers.
Enolisation decreases stability, hence introducing two or more enol groups are further more difficult.
Enols of ketones are more substituted at double bond, hence more stable.
Both acid and base catalyses keto-enol tautomerism.

Only One Option Correct Type
Direction (Q. Nos. 1-14) This section contains 14 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONLY ONE is correct.
Q. 
In hexane-2,4-dione, how many different mono-enols are possible?
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    7
Correct answer is option 'D'. Can you explain this answer?

Devanshi Mehta answered
Possible Mono-enols in Hexane-2,4-dione

Hexane-2,4-dione, also known as Acetylacetone, has the following structure:

CH3COCH2COCH3

Mono-enol is the product obtained when one enolizable hydrogen atom of a compound is replaced by a hydroxyl group (-OH).

To determine the number of different mono-enols possible in hexane-2,4-dione, we need to identify the enolizable hydrogen atoms. These are the hydrogen atoms attached to the carbon atoms that are adjacent to the carbonyl groups (-CO-).

In hexane-2,4-dione, there are two such hydrogen atoms, one on each side of the molecule. Therefore, there are two possible enols that can be formed:

- The first enol is formed by replacing the hydrogen atom attached to the carbon atom adjacent to the ketone (-CO-) group on the left side of the molecule. This enol is called the alpha-enol or 1-enol.

CH3COCH=C(OH)CH3

- The second enol is formed by replacing the hydrogen atom attached to the carbon atom adjacent to the ester (-COO-) group on the right side of the molecule. This enol is called the beta-enol or 3-enol.

CH3C(OH)=CHCOCH3

However, each of these enols can exist in two different tautomeric forms: keto and enol. Tautomerism is the phenomenon where a compound exists in two or more isomeric forms that differ only in the position of a hydrogen atom and a double bond.

- The keto form is the one in which the compound has a carbonyl group (-CO-) and no hydroxyl (-OH) group.
- The enol form is the one in which the compound has a double bond (-C=C-) and a hydroxyl (-OH) group.

Therefore, there are four possible mono-enols in hexane-2,4-dione:

- The alpha-keto-enol form, also known as 1,3-diketone form.
- The alpha-hydroxy-ketone form or 1-enol form.
- The beta-keto-enol form, also known as the 3,5-diketone form.
- The beta-hydroxy-ketone form or 3-enol form.

However, each of these forms can also exist as a mixture of both tautomeric forms, keto and enol. Therefore, a total of seven different mono-enols are possible in hexane-2,4-dione:

- Alpha-keto-enol form (1,3-diketone)
- Alpha-enol-keto form (1-enol)
- Alpha-enol-enol form (1-enol)
- Beta-keto-enol form (3,5-diketone)
- Beta-enol-keto form (3-enol)
- Beta-enol-enol form (3-enol)
- Beta-enol-enol-keto form (3-enol)

Therefore, the correct answer is option D, seven.

What is the correct order of equilibrium enol content of the following compounds?
I. CH3COCH3
II. CH3COCH2COOC2H5
III. CH3COCH2COCH3
IV. CH3COCH2COH
  • a)
    I > II > III > IV
  • b)
    I > IV > III > II
  • c)
    IV > II > III > I
  • d)
    III > IV > II > I
Correct answer is option 'D'. Can you explain this answer?

Asha Nair answered
A 1,3-diketo compound forms more stable enol than a monocarbonyls. Also ester group forms less stable enol than carbonyls. Hence, III, a 1 , 3-diketo ne form s highest enol content while I (monocarbonyl) forms least enol content at equilibrium.

In mirrors how can we differentiate real image from the virtual image
  • a)
    Real image is always inverted whereas virtual image is erect.
  • b)
    Real image is always twice in size as compared to virtual.
  • c)
    Real and virtual both are same.
  • d)
    Virtual image is always inverted whereas real is erect.
Correct answer is option 'A'. Can you explain this answer?

Akshay Shah answered
1 When the incident rays arise from a given object, then it is known as a real object. 
2 Concave mirror or a converging lens are used to produce a real inverted image, wherein the object should be located in front of the lens or mirror, at a place farther than the focus.

Arrange the following in the increasing order of stability of their most stable enol.
  • a)
     I < II < III < IV
  • b)
    IV < III < II < I 
  • c)
    II < I < IV < III
  • d)
    III < IV < II < I
Correct answer is option 'B'. Can you explain this answer?

Diketo (I) forms highest enol content due to stabilisation of enol by intermolecular H-bonding. Electron donating resonance effect by ester group slightly decreases enol content.

For which of the following equilibrium, Kc is greater than 1?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A,B'. Can you explain this answer?

Kavya Das answered
Five and six-membered cyclic hemiacetals are more stable than its hydroxy aldehydes/ketones, predominate at equilibrium. Cyclic acetals are highly stable, predominate at equilibrium.

Arrange the following in the increasing order of hydrate content at equilibrium in aqueous solution
I. H2CO

III. C6H5CHO
  • a)
    I < II < III < IV
  • b)
    IV < III < II < I 
  • c)
    III < IV < II < I
  • d)
    Ill < IV < I < II
Correct answer is option 'C'. Can you explain this answer?

Shalini Basu answered
Due to negligible steric hindrance, form aldehyde form s large hydrate content at equilibrium. Also electron withdrawing group in (IV) increases hydrate content compared to III.

Arrange the following in the increasing order of acidic strength 
I. H2CO
II. CH3CHO
III. C6H5CH2CHO
  • a)
    I < II < III < IV
  • b)
    IV < III < II < I
  • c)
    III < IV < II < I
  • d)
    III < IV < I < II
Correct answer is option 'A'. Can you explain this answer?

Maitri Sharma answered
IV is most acidic as its conjugate base is resonance stabilised by two carbonyl groups, followed by III whose conjugate base is resonance stabilised by a carbonyl group and phenyi ring.

For which of the following equilibrium, K< 1 ?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

Nidhi Nambiar answered
In the absence of any special stability factor, a hydrate of ketone is highly unstable.

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