MET Mock Test - 1 - JEE MCQ

In Bernoulli's theorem, which of the following is conserved?

The new white belt of a long horizontal conveyor is moving with a constant speed v = 3.0 m/s. A small block of carbon is placed on the belt with zero initial velocity relative to the ground. The block will slip a bit before moving with the belt, leaving a black mark on the belt (figure). How long is that mark (in m) if the coefficient of kinetic friction between the carbon block and the belt is 0.20 and the coefficient of static friction is 0.30?

In Y.D.S.E. using light of wavelength 6000Å angular fringe width of fringe formed on the screen is 1°. Find the distance between the slits :-

Amongst the following, the major product of the given chemical reaction is

Major product P of above reaction is:

Which of the following statements are correct?
(A) Both LiCl and MgCl₂ are soluble in ethanol.
(B) The oxides Li₂O and MgO combine with excess of oxygen to give superoxide.
(C) LiF is less soluble in water than other alkali metal fluorides.
(D) Li₂O is more soluble in water than other alkali metal oxides.
Choose the most appropriate answer from the options given below:

The conversion of propan-1-ol to n-butylamine involves the sequential addition of reagents. The correct sequential order of reagents is

For the Balmer series in the spectrum of H atom,  the correct statements among (l) to (IV) are:
(I) As wavelength decreases, the lines in the series converge.
(II) The integer n₁ is equal to 2.
(III) The lines of longest wavelength correspond to n₂ = 3.
(IV) The ionisation energy of hydrogen can be calculated from wave number of these lines.

The number of bridged oxygen atoms present in compound B formed from the following reactions is

Sum of number of ions in aqueous solution of CrCl₃.5NH₃ and CrCl₃ . 4NH₃.

Find the planner species out of the following species
SF₂, SF₄, SF₆ , SO₂, SO₃

if ‘x’ is total number of benzene ring in compound(C) and ‘y’ is the total number of degree of unsaturation in compound (D) then the value of (x + y) is

Identify total number of compound (s) which are unstable at room temperature ?

If one of the roots of the quadratic question x² − x = k be square of the other, then k =

If n = 1 ⋅ 2 ⋅ 3 ....m (m is a fixed positive integer > 2), then   is equal to

The line y = mx intersects the circle x² + y² − 2x − 2y = 0 and x² + y² + 6x − 8y = 0 at points A and B (points being other than origin). The range of m such that origin divides AB internally is

The area bounded by the region inside the ellipse, x² + 2y² = 2 and outside the graph of the function y = f(x), if the function f: R → Rsatisfies the relation x²f(x) + f(1−x) = 2x − x⁴

The orthocentre of triangle formed by lines 4x − 7y + 10 = 0, x + y = 54 and 7x + 4y = 15 is

 then Re(p) equals -

Let    then the value of a + b is: 

Let f(x) = [2x³ – 5]; then number of points in (1, 2) where the function is discontinuous are where [.] → G.I.F.

The equation of the perpendicular bisectors of the sides AB and AC of a triangle ABC are y = x and y = –x, respectively. If the point A is (1, 2), then the area of ΔABC is :-

Every sentence (given below) is divided into three section marked A, B and C. Read the sentence carefully and mark the section that contains an error. If there is no error in the sentence, mark (D).

Due to carelessness, (A)/he failed (B)/in the examination. (C)/No error. (D)

If a meaningful word can be formed from APSG, by using each letter only once, then the third letter of that word is your answer. If more than one such word can be formed, your answer is 'Y' and if no such word is formed then answer is 'Z'.

Choose the correct option to fill in the blank in the following sentence:
The soldiers wanted to _____ over their victory.

Three persons A, B and C wore shirts of black, blue and orange colours (not necessarily in that order) and pants of green, yellow and orange colour (not necessarily in that order). No person wore a shirt and pant of the same colour. Further, it is given that

1. A did not wear shirt of black colour.

2. B did not wear shirt of blue colour.

3. C did not wear shirt of orange colour.

4. A did not wear pant of green colour.

5. B wore pant of orange colour.

What were the colours of the pant and shirt worn by C respectively?