JEE Main Class XI Weekly Mock 9 for JEE & BITSAT Exams

Question 1

In the following two A.P.'s how many terms are identical? 2, 5, 8, 11.... to 60 terms; 3, 5, 7, .. 50 terms

Question 2

If the coefficient of the 5^thterm be the numerically greatest coefficient in the expansion of (1 – x)ⁿ, then the positive integral value of n is-

Question 3

The interval in which x must lie so that the greatest term in the expansion of (1 + x)²ⁿ has the greatest coefficient is -

Question 4

Four numbers are such that the first three are in A.P. while the last three are in G.P. If the first number is 6 and common ratio of G.P. is 1/2, then the numbers are -

Question 5

The sum to n terms of the series

... is equal to-

Question 6

Which among the following factors is most important in making fluorine the strongest oxidizing halogen?

Question 7

If, S + O₂ → SO₂;
ΔH = –298.2 kJ … (i)
SO₂ + 1/2 O₂ → SO₃;
ΔH = –98.7 kJ … (ii)
SO₃ + H₂O → H₂SO₄;
ΔH = –130.2 kJ … (iii)
H₂ + 1/2 O₂ → H₂O;
ΔH = –227.3 kJ … (iv)
The enthalpy of formation of H₂SO₄ at 298 K will be

Question 8

At constant temperature and pressure, which one of the following statements is correct for the reaction CO(g) + 1/2O₂(g) → CO₂(g)

Question 9

Calculate the work involved when 1 mol of an ideal gas is compressed reversibly from 1.00 bar to 5.00 bar at a constant temperature of 300 K -

Question 10

Evaluate Δu at 500 K for the process
Mg (s) + 2HCl (g) = MgCl₂ (s) + H₂(g)
ΔH = – 109 k cal.
The volume-change of solids to be ignored

Question 11

A balloon with mass 'm' is descending down with an acceleration 'a' (where a < g). How much mass should be removed from it so that is starts moving up with an acceleration 'a' ?

Question 12

A stone falls freely under gravity. It covers displacement h₁, h₂ and h₃ in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h₁, h₂ and h₃ is :

Question 13

A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of g₀, the value of acceleration due to gravity at the earth's surface is

Question 14

At a given place where acceleration due to gravity is g m/s2, a sphere of lead of density d kg/m3 is gently released in a column of liquid of density

kg/m3. If d>

, the sphere will

Question 15

The ratio of acceleration due to gravity at a height h above the surface of the earth and at a depth h below the surface of the earth h << radius of earth.