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JEE 2020 : Weekly Quiz 29 (21.09.2019)
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Question 1
If α is non-real and α = 5√(1) then the value of is equal to
Question 2
If nC4, nC5 and nC6 are in A.P., then n can be :
Question 3
If 19th term of a non-zero A.P. is zero, then its (49th term) : (29th term) is :
Question 4
For a sequence {an}, a1 = 2 and
Question 5
The first term of an A.P. of consecutive integer is p2 + 1. The sum of (2p + 1) terms of this series can be expressed as
Question 6
If a1, a2, a3, ........ are in A.P. such that a1 + a5 + a10 + a15 + a20 + a24 = 225, then a1 + a2 + a3 + ......+ a23 + a24 is equal to
Question 7
The sum of integers from 1 to 100 that are divisible by 2 or 5 is
Question 8
If α is the angle which each side of a regular polygon of n sides subtends at its centre, then 1 + cosα + cos2α + cos3α … + cos(n-1)α is equal to
Question 9
For any complex number z, maximum value of |z| – |z – 1| is
Question 10
If z =
Question 11
Closed chain isomer of cyclobutane is:
Question 12
Some meta-directing substituents in aromatic substitution are given. Which one is most deactivating ?
Question 13
2,3-dimethyl-2-butene can be prepared by heating which of the following compounds with a strong acid?
Question 14
Which of the compounds with molecular formula C5H10 yields acetone on ozonolysis?
Question 15
Predict the product C obtained in the following reaction of butyne-1.
CH3CH2—C≡CH + HCl → B C
CH3CH2—C≡CH + HCl → B C
Question 16
Reduction of alkyl halide with nascent hydrogen leads to the formation of:
Question 17
Carboxylic acids have higher boiling points than aldehydes, ketones and even alcohols of comparable molecular mass. It is due to their
Question 18
Complete the following reaction:
Question 19
Acetone and acetaldehyde are differentiated by
Question 20
Which of the following will fail to react with potassium dichromate and dilute sulphuric acid
Question 21
A light ray moving in medium-I (of refractive index n1) is incident on interface of two media and it is totally internally reflected at the interface. Now refractive index n2 of medium-II is decreased, then
Question 22
A diverging meniscus lens of 1.5 refractive index has concave surface of radii 3 and 4 cm. The position of the image, if an object is placed 12 cm in front of the lens, is
Question 23
If the focal length of a lens of a camera is 5 f and that of another is 2.5 f, what is the time of exposure for the second if for the first one is (where, f is focal length/unit aperture )
Question 24
A woman’s near point is 0.6 m and far point is 4 m. The power of spectacle lenses required for (i) reading purpose and (ii) seeing distant objects, respectively are
Question 25
Consider the following statements regarding concave mirror and convex mirror.
I. Plane mirrors and convex mirrors form virtual images, where in a plane mirror the image can be infinitely far behind the mirror.
II. It is possible to use a convex mirror to produce an image that is larger than the object.
III. The image produced by a convex mirror can be projected onto a screen easily.
IV. A concave mirror is used to converge the parallel rays of sunlight on a piece of paper.
Which of the above statement(s) is/are incorrect?
I. Plane mirrors and convex mirrors form virtual images, where in a plane mirror the image can be infinitely far behind the mirror.
II. It is possible to use a convex mirror to produce an image that is larger than the object.
III. The image produced by a convex mirror can be projected onto a screen easily.
IV. A concave mirror is used to converge the parallel rays of sunlight on a piece of paper.
Which of the above statement(s) is/are incorrect?
Question 26
A point object is kept at 12 m from the pole of concave mirror on the side of reflecting surface with focal length 3 m and it is further reflected by a concave mirror of same focal length at a distance 10 m from the pole of concave mirror. What is the final image distance from the concave mirror placed on the left side?
Question 27
For the myopic eye, the defect is cured by
Question 28
In the formation of primary rainbow, the sunlight rays emerge at minimum deviation from rain-drop after which of the following?
Question 29
A body of height h is placed before a spherical mirror of focal length 40 cm. The image of the body produced by the mirror has the same orientation and has height h’ =0.25h. What is the nature of image and its position?
Question 30
A slab of refractive index 3/2 moves towards a stationary observer with speed 2 m/s. The observer observes a point O with the help of parallax rays through slab. If both O and observer lie in air, the velocity with which the image will move is
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Jan 7JEE & BITSAT