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JEE 2020: Weekly Quiz 23 (31.08.2019)

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Question 1

Two beams, A and B. of plane polarized light with mutually perpendicular planes of polarization are seen through a polaroid. From the position when the beam A has maximum intensity (and beam B has zero intensity), a rotation of Polaroid through 30° makes the two beams appear equally bright. If the initial intensities of the two beams are IA and IB respectively, then IA/ IB equals :

Question 2

In a certain double slit experimental arrangement, interference fringes of width 1.0 mm each are observed when light of wavelength 5000 Å is used. Keeping the set-up unaltered if the source is replaced by another of wavelength 6000 Å, the fringe width (in mm) will be -

Question 3

Two coherent sources of different intensities send waves which interfere. The ratio of maximum intensity to the minimum intensity is 25. The intensities of the sources are in the ratio-

Question 4

Two monochromatic light waves of amplitudes A and 2A interfering at a point, have a phase difference of 60 º. The intensity at that point will be proportional to -

Question 5

If the first minima in a Young’s slit experiment occurs directly infront of one of the slits. (distance between slit & screen D = 12 cm and distance between slits d = 5 cm) then the wavelength of the radiation used is :

Question 6

Refractive index of a thin soap film of a uniform thickness is 1.34. Find the smallest thickness of the film that gives an interference maximum in the reflected light when light of wavelength 5360 Å falls at normal incidence

Question 7

The central fringe of the interference pattern produced by light of wavelength 6000 Å is found to shift to the position of 4th bright fringe after a glass plate of refractive index 1.5 is introduced in path of one of beams. The thickness of the glass plate (μm) in would be -

Question 8

In a Young's double slit experiment, the fringe width is found to be 0.4 mm. If the whole apparatus is immersed in water of refractive index (4/3), without disturbing the geometrical arrangement, the new fringe width (in mm) will be -

Question 9

The Young's double slit experiment is performed with blue and with green light of wavelengths 4360 Å and 5460 Å respectively. If X is the distance of 4th maximum from the central one, then -

Question 10

The double slit experiment of Young has been shown in figure. Q is the position of the first bright fringe on the right side and P is the 11th bright fringe on the other side as measured from Q. If wavelength of the light used is 6000 Å, S1B, will be equal to -

Question 11

Consider the following reaction .

Which of the following statements is not correct?

Question 12

The compound X in the given reaction is

Question 13

The statement that best describes the physical properties of benzene is:

Question 14

Give the product of the following reaction:

Question 15

Benzene ___ σ bonds and ____π bonds

Question 16

What is the IUPAC name of Saccharin?

Question 17

Which of the following sweetener contains phenylalanine in its structure?

Question 18

Which of the following is seven times sweeter than sucrose?

Question 19

Which of the following is a class II preservative?

Question 20

Which of the following slow down the rate of auto-oxidation of food?

Question 21

If A and B are two square matrices such that B = –A–1 BA, then (A+B)2 is equal to

Question 22

Let A and B be two 2 × 2 matrices. Consider the statements
(i) AB = O A = O or B = O
(ii) AB = I2 A = B–1
(iii) (A+B)2 = A2 + 2AB + B2
Then

Question 23

If

Question 24

Let A=, B=. Then
Statement 1: A.adj(B)=B
Statement 2: b.adj(A)=

Question 25

If find.

Question 26

If find.

Question 27

The coordinates of points which trisect the line segment joining (1, -2) and (5, 6)

Question 28

The locus of a point which moves such that the sum of its distances from points A(0, 0, m) and B(0, 0, m) is constant

Question 29

The value of k for which the points (2, 6), (-1, 4), (3, k) are collinear.

Question 30

The vertices of a triangle are A(5, 4, 6), B(1, -1, 3) and C(4, 3, 2).The internal bisector of angle BAC meets BC in D. Find AD
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Jan 15JEE & BITSAT