COMEDK Mock Test - 4 - JEE MCQ

An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume V₁ and contains ideal gas at pressure P₁ and temperature T₁. The other chamber has volume V₂ and contains ideal gas at pressure P₂ and temperature T₂. If the partition is removed without doing any work on the gas, then the final equilibrium temperature of the gas in the container will be

Amplitude modulated wave is represented by V_AM = 10[1 + 0.4cos(2π × 10⁴t)] cos(2π × 10⁷ t). The total bandwidth of the amplitude modulated wave is:

A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by 20.0°C will be:
(Given: gas constant R = 8.3 JK^-1 mol^-1)

If , then the relative error in Z will be:

When ethanol is refluxed with conc. sulphuric acid at 160^o it gives

Molarity of liquid HCl with density equal to 1.17 g/cc is

One mole of CO₂ contains

Which one of the following proteins transports oxygen in the blood stream?

White lead is

Orthophosphoric acid is

If a mixture containing 3 moles of hydrogen and 1 mole of nitrogen is converted completely into ammonia, the ratio of volumes of reactants and products at the same temperature and pressure would be

The equilibrium constant for the following reaction will be 3 A + 2 B → C

A system is said to be in thermodynamic equilibrium when it is in

If the truth values of statements p,q,r are True, True and False respectively

Statement-1: Statement ~(p∨q)∧(p∨~r)∧(~p∨~q) is false.

Statement-2: For given truth values ~(p∨q) is false, (p∨~r)  is true, (~p∨~q) is false.

The equation of the normal to the curve parametrically represented by x=t²+3t−8 and y=2t²−2t−5
 at the point P(2,−1)  is:

Let f:(−∞,0]→[1,∞) be defined a  then f(x) is

Tangents are drawn from the point (α,β) to the hyperbola 3x²−2y²=6 and are inclined at angles θ and ϕ to the X
-axis. If  tanθ⋅tanϕ=2, then β²−2α²=

If  then which of the following is not true

if  are non-coplanar unit vectors such that  are non-parallel, then the angle between  is

 is equal to

Assuming the sum and the products given below are defined, which of the following is false for matrices?

If n is not a multiple of 3 then ωⁿ + ω²ⁿ =

The function f(x) = tan x/x for x ≠ 0 ; f (0) = 1 at x = 0 is

If f : R → R is defined by f x = 2 x + | x | then f (3x) − f (-x)   − 4 x =

If f(x)   = e ^-1/x² , x ≠ 0, and f(0) = 0 then f ′(0)    is

∫[(1)/(4x²+9)]dx =