MET Mock Test - 8 - JEE MCQ

A particle of mass m is executing oscillation about the origin on X-axis. Its potential energy is V(x)=K∣x∣³. Where K is a positive constant. If the amplitude of oscillation is a, then its time period T is proportional to.

Match List I with List II.

Choose the correct answer from the options given below.

Which is the most suitable reagent for the following transformation?

The strength of an aqueous NaOH solution is most accurately determined by titrating:
(Note: Consider that an appropriate indicator is used.)

Which of following is not correct for noblegas?

In the given reaction

'A' can be:

Which one of the following is an example of artificial sweetener?

In a cell, the following reactions take place:

The standard electrode potential for the spontaneous reaction in the cell is X × 10^-2 V at 298 K. The value of x is ______________. (Nearest Integer)

The resistance of a conductivity cell containing 0.01 M KCl solution at 298 K is 1750 Ω. If the conductivity of 0.01 M KCl solution at 298 K is 0.152 × 10^-3 S cm^-1, then the cell constant of the conductivity cell is _______ × 10^-3 cm^-1. (In integers)

(a) Baryte, (b) Galena, (c) Zinc blende and (d) Copper pyrites.
How many of these minerals are sulphide based? (In integers)

The coefficient of x¹⁰¹ in the expression (5 + x)⁵⁰⁰ + x(5 + x)⁴⁹⁹ + x²(5 + x)⁴⁹⁸ + ... + x⁵⁰⁰, x > 0, is

The surface area of a balloon of spherical shape being inflated increases at a constant rate. If initially, the radius of balloon is 3 units and after 5 seconds, it becomes 7 units, then its radius after 9 seconds is

Let A = . If M and N are two matrices given by M =  and N =  then MN₂ is

The lines x = ay - 1 = z - 2 and x = 3y - 2 = bz - 2, (ab ≠ 0) are coplanar, if:

If x = x(y) is the solution of the differential equation ydy/dx = 2x + y³ (y + 1)e^y, x(1) = 0; then x(e) is equal to:

Let the maximum area of a triangle that can be inscribed in the ellipse  a > 2, having one of its vertices at one end of the major axis of the ellipse and one of its sides parallel to the y-axis, be 6√3, then the eccentricity of the ellipse is

The value of 

The number of 4-letter words (with or without meaning) that can be formed from the eleven letters of the word 'EXAMINATION' is _______.

If two tangents drawn from a point (α, β) lying on the ellipse 25x² + 4y² = 1 to the parabola y² = 4x are such that the slope of one tangent is four times the other, then the value of (10α + 5)² + (16β² + 50)² equals ___________. (in integer)

Area bounded by curves y = [cos A + cos B + cos C],   (where [.]) denotes the greatest integer function and A, B, C are angles of a triangle) and curve |x-1|+|y|=2 is

The 1st and the last part of sentences are numbered 1 and 6. The rest of the sentence is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence and find out which of the four combinations is correct. Then find the correct answer and indicate it in the Answer Sheet.

1. Right from

P. have been viewed as a measure of time

Q. prehistoric times

R. and have formed the basis of

S. the phases of the moon

6. the earliest calendar.

In a certain code, if DOG is written as 4157, then what will MAT be written as?

In the following question, select the related number from the given alternatives:
145 : 10 :: 243 : ?

In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions follow from the given statements.

Statements:
I. The constitution assures the fundamental rights.
II. Parliament has the right to amend the constitution.

Conclusions:
I. Parliament included fundamental rights in the constitution.
II. Parliament did not assure the fundamental rights.

Directions: The given sentence is in Active/Passive Voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive/Active Voice.

The government has launched a massive tribal welfare programme in Jharkhand.

Directions: In the following question, choose the word which best fills the blank from the four options given.

Nearly _______ by disease and the destruction of their habitat, Koalas are now found only in isolated parts of eucalyptus forests.

Directions: Four alternative summaries are given below the underneath text. Choose the option that best captures the essence of the text.

Overall macroeconomic stability and growth are what the people need. A dead economy with zero inflation might gladden the hearts of central banker counterparts of surgeons who perform successful operations on patients who die. But it would be of little use to the poor and the unemployed.