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JEE 2020: Weekly Quiz 21 (24.08.2019)
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Question 1
A Firecracker exploding on the surface of a lake is heard as two sounds a time interval t apart by a man on a boat close to water surface. Sound travels with a speed u in water and a speed v in air. The distance from the exploding firecracker to the boat is
Question 2
The energy per unit area associated with a progressive sound wave will be doubled if
Question 3
An open organ pipe of length L vibrates in second harmonic mode. The pressure vibration is maximum
Question 4
At the closed end of an organ pipe
Question 5
A cylindrical tube, open at one end and closed at the other, is in acoustic unison with an external source of frequency held at the open end of the tube, in its fundamental note. Then
Question 6
A detector is released from rest over a source of sound of frequency f0 = 103 Hz. The frequency observed by the detector at time t is plotted in the graph. The speed of sound in air is (g = 10 m/s2)
Question 7
A longitudinal wave is represented by . The maximum particle velocity will be four times the wave velocity if
Question 8
The displacement of a particle in S. H. M. varies according to the relation x= 4 (cos t+sin t). The amplitude of the particle is
Question 9
A particle is oscillating according to the equation X=7 cos 0.5 πt, where 't' is in second. The point moves from the position of equilibrium to maximum displacement in time-
Question 10
The motion of a particle executing S.H.M. is given by x = 0.01 sin 100π (t + .05), where x is in meters and time is in seconds. The time period is -
Question 11
Glucose gives the silver mirror test with ammoniacal solution of silver nitrate because it contains
Question 12
Sucrose on hydrolysis yields a mixture which is
Question 13
Sugars are characterised by the preparation of osazone derivatives. Which sugar have identical osazones.
Question 14
Starch is polymer of
Question 15
Which one of the following is an example of a thermosetting polymer?
Question 16
D(+) glucose reacts with hydroxyl amine and yield an oxime. The structure of the oxime would be:
Question 17
Which of the following structures represents neoprene polymer?
Question 18
The segment of DNA, which acts as the instrumental manual for the synthesis of the protein is
Question 19
Water sample is reported to be highly polluted if BOD (Biological Oxygen Demand) value of sample becomes
Question 20
Chemically heroin is
Question 21
Find k
Question 22
If [x] denotes the greatest integer function then
Question 23
[1-cos - cos + cos ]=
Question 24
Let. If f(x) is continuous in is
Question 25
If f(x) = , then the value of a so that f(x) may be continuous at x = 0 is -
Question 26
The function y = f (x) is defined by x = 2t- | t |, y = t2+ t | t |, t ∈ R in the interval x ∈ [-1,1] then
Question 27
If
where [x] denotes the greatest integer less than or equal to x, then in order that f be continuous at x = 0, the value of k is?
where [x] denotes the greatest integer less than or equal to x, then in order that f be continuous at x = 0, the value of k is?
Question 28
The function f : R\{0} → R given by f(x) = can be made continuous at x = 0 by defining f(0) as
Question 29
If be a differentiable function andthen the value of
Question 30
The minimum value of is
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