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JEE Main Class XI Weekly Mock 10

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Question 1

The equilibrium SO2Cl2(g) SO2(g) + Cl2(g) is attained at 25ïC in a closed container and inert gas helium is introduced. Which of the following statement(s) is /are correct?
A. concentration of SO2, Cl2 and SO2Cl2 change
B. more chlorine is formed
C. concentration of SO2 is reduced
D. more SO2Cl2 is formed

Question 2

The equilibrium constants for the reactions are:
H3PO4 H+ + H2PO4; K1
K2
K3
The equilibrium constant for will be:

Question 3

The equilibrium constant for, 2H2S(g) 2H2(g) + S2(g) is 0.0118 at 1200 K while the heat of dissociation is 597.4 kJ. The standard equilibrium constant of the reaction at 1300 K is -

Question 4

For the reaction H2(g) + I2(g) 2HI(g) KC = 66.9 at 350 ºC and KC = 50.0 at 448 ºC. The reaction has -

Question 5

For the equilibrium 2NOBr(g) 2NO(g) + Br2(g), calculate the ratio , where P is the total pressure and = at a certain temperature -

Question 6

A thin rod of length L is lying along the x-axis with its ends at x = 0 and x = L. Its linear density (mass/length) varies with x as  where n can be zero or any positive number. If the position xCM of the centre of mass of the rod is plotted against n, which of the following graphs best approximates the dependence of xCM on n ?

Question 7

A spring of spring constant 5 × 103 N/m is stretched initially by 5 cm from the unstretched position. Then the work required to stretch is further by another 5 cm is

Question 8

A wire suspended vertically from one of its ends stretched by attaching weight of 200 N to the lower end. The weight stretches the wire by 1 mm. Then the elastic energy (in J) stored in the wire is

Question 9

Copper of fixed volume 'V' is drawn into wire of length 'λ'. When this wire is subjected to a constant force 'F', the extension produced in the wire is 'Δ. Which of the following graph is a straight line ?

Question 10

One end of a uniform bar of weight w1 is suspended from the roof and a weight w2 is suspended from the other end, the area of cross section is A.What is the stress at the midpoint of the rod?

Question 11

The positive integer just greater than (1 + 0.0001)10000 is

Question 12

For natural numbers m, n if (1 – y)m (1 + y)n = 1 + a1y + a2y2 +….., and a1 = a2 = 10, then (m,n) is

Question 13

The remainder left out when 82n – (62)2n+1 is divided by 9 is

Question 14

If n > 2 than (n–r) (n– r + 1) Cr =

Question 15

If n is a positive integer and (3√3+ 5)2n+1 = α + β where α is an integer and 0 < β < 1 then consider the following statements -
(i) α is an even integer
(ii) (α + β)2 is divisible by 22n+1
(iii) the nearest integer less than (3√3+ 5)2n+1 divisible by 3
(iv) α is divisible by 10
In the above correct statements are-
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Jul 20JEE & BITSAT