All Courses
Get the App Signup / Login
Sign in Open App
JEE Exam  >  JEE Tests  >  MET Mock Test Series  >  MET Mock Test - 4 - JEE MCQ

MET Mock Test - 4 - JEE MCQ


Test Description

30 Questions MCQ Test MET Mock Test Series - MET Mock Test - 4

MET Mock Test - 4 for JEE 2024 is part of MET Mock Test Series preparation. The MET Mock Test - 4 questions and answers have been prepared according to the JEE exam syllabus.The MET Mock Test - 4 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MET Mock Test - 4 below.
Solutions of MET Mock Test - 4 questions in English are available as part of our MET Mock Test Series for JEE & MET Mock Test - 4 solutions in Hindi for MET Mock Test Series course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt MET Mock Test - 4 | 60 questions in 120 minutes | Mock test for JEE preparation | Free important questions MCQ to study MET Mock Test Series for JEE Exam | Download free PDF with solutions
MET Mock Test - 4 - Question 1
Save

A particle falls from a height 'h' on a fixed horizontal plane and rebounds. If 'e' is the coefficient of restitution, the total distance travelled by the particle before it stops is

Detailed Solution for MET Mock Test - 4 - Question 1

Total distance travelled si

Hence the correct choice is (a)

MET Mock Test - 4 - Question 2
Save

A disc of radius r is connected to a string of length L. The string is tied to a point on the circumference of the disc. This system is made to oscillate in vertical plane of the disc with a small angular amplitude θ0. Find the speed of the lowest point of the disc at the moment the string become vertical.

Detailed Solution for MET Mock Test - 4 - Question 2

This is a compound pendulum with angular frequency is: 

Angular displacement can be expressed as a function of time θ = θ0 sin (ωt)
∴ dθ/dt = θ0 cos (ωt)
When the string is vertical θ = 0 ∴ sin (ωt) = 0 and cos (ωt) = 1
∴ dθ/dt = θ0ω
∴ speed of lowest point is: 

1 Crore+ students have signed up on EduRev. Have you? Download the App
MET Mock Test - 4 - Question 3
Save

A long cylindrical volume contains a uniformly distributed charge of density ρ. The radius of cylindrical volume is R. A charge particle (q) revolves around the cylinder in a circular path. The kinetic energy of the particle is:

Detailed Solution for MET Mock Test - 4 - Question 3

MET Mock Test - 4 - Question 4
Save

If  and  are two vectors satisfying the relation  . Then the value of  will be:
Detailed Solution for MET Mock Test - 4 - Question 4


AB cosθ = AB sinθ ⇒ θ = 45°

*Answer can only contain numeric values
MET Mock Test - 4 - Question 5
Save

A small block of mass M moves on a frictionless surface of an inclined plane, as shown in figure. The angle of the incline suddenly changes from 60° to 30° at point B. The block is initially at least at A. Assume that collisions between the block and the incline are totally inelastic. (g = 10 m/s2)

If collision between the block and the incline is completely elastic, then the vertical (upward) component of the velocity of the block at point B, immediately after it strikes the second incline, is

Detailed Solution for MET Mock Test - 4 - Question 5

In case of elastic collision, component of v1 parallel to BC will remain unchanged, while component perpendicular to BC will remain unchanged in magnitude but reverse in its direction.

Now, the vertical component of velocity of the block is given by:

Now the vertical component of velocity of the block is,

v' = vT cos 30° - v2 cos 60°

= 0

*Answer can only contain numeric values
MET Mock Test - 4 - Question 6
Save

A wire of length 2.5 m and area of cross section 1×10–6 m2 has a mass of 15 kg hanging on it. What is the extension produced? How much is the energy stored in the standard wire if Young’s modulus of wire is 2×1011 Nm–2.

Detailed Solution for MET Mock Test - 4 - Question 6

Here,

Length of wire l = 2.5m

Area of cross-section, A = 1×10–6 m2

Hanging mass, m = 15 kg

Elongation, e = ?

Energy stored in the wire, E = ?

Young’s modulus of steel, Y = 2×1011 Nm–2.

We have,

Young’s modulus of elasticity,

e = 1.875 ×10-3 m

Again, 

Energy stored in the stretched wire,

      E = 1/2​ .F .e

Or, E = 1/2​ × mg × e 

Or, E = 1/2​ × 15×10 ×1.875 ×10-3

∴∴ E = 0.141 J

*Answer can only contain numeric values
MET Mock Test - 4 - Question 7
Save

Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure 8 N/m2. The radii of bubbles A and B are 2 cm and 4 cm, respectively. Surface tension of the soap-water used to make bubbles is 0.04 N/m. Find the ratio nA/nB, where nA and nB are the number of moles of air in bubbles A and B, respectively. [Neglect the effect of gravity.]

(Round off upto 2 decimal places)

Detailed Solution for MET Mock Test - 4 - Question 7

Excess pressure above atmospheric pressure, due to surface tension in a bubble = 4T/r

Surrounding pressure, P0 = 8 N/m2

MET Mock Test - 4 - Question 8
Save

In presence of alkali, C₂H₅OH reacts with Cl₂ to give
MET Mock Test - 4 - Question 9
Save

At room temperature formaldehyde is
MET Mock Test - 4 - Question 10
Save

How many monochlorobutanes will be obtained on chlorination of n-butane?
Detailed Solution for MET Mock Test - 4 - Question 10

MET Mock Test - 4 - Question 11
Save

The ratio of the molar amounts of H₂S needed to precipitate the metal ions from 20 mL each of 1M Cd(NO₃)₂ and 0.5 M CuSO₄ is
Detailed Solution for MET Mock Test - 4 - Question 11

As Cd2+ and Cu2+, both are dipositive ions but Cu2+ has one half of the concentration compared to that of the Cd2+. Thus, the molar amount of the H2S used to precipitate the metals ions Cd2+ and Cu2+ is 2 : 1.

*Answer can only contain numeric values
MET Mock Test - 4 - Question 12
Save

At 345 K, the half life for the decomposition of a sample of a gaseous compound initially at 55.5 kPa was 340 s. When the pressure was 27.8 kPa, the half life was found to be 170 s. The order of the reaction is ________. [integer answer]

Detailed Solution for MET Mock Test - 4 - Question 12


2 = (2)1 - n
1 - n = 1
n = 0

*Answer can only contain numeric values
MET Mock Test - 4 - Question 13
Save

The difference in oxidation state of chromium in chromate and dichromate salts is ______. (in integer)

Detailed Solution for MET Mock Test - 4 - Question 13

Chromate ion →  , oxidation state of Cr = +6
Dichromate ion → , oxidation state of Cr = +6
Difference in oxidation state = zero

*Answer can only contain numeric values
MET Mock Test - 4 - Question 14
Save

The vapour pressures of A and B at 25°C are 90 mm Hg and 15 mm Hg, respectively. If A and B are mixed such that the mole fraction of A in the mixture is 0.6, then the mole fraction of B in the vapour phase is x × 10-1. The value of x is _________. (Nearest integer)

Detailed Solution for MET Mock Test - 4 - Question 14

xA = 0.6
PT = xAPAo + xBPBo
= 0.6 × 90 + 0.4 × 15
= 54 + 6 = 60
xAPAo = yAPT
0.6 × 90 = yA(60)
yA = 0.9
yB = 0.1 = 1 × 10-1
∴ x = 1

MET Mock Test - 4 - Question 15
Save

If the slope of the normal to the curve x3 = 8a2y, a > 0, at a point in the first quadrant is - 2/3, then the point is
MET Mock Test - 4 - Question 16
Save

Area bounded by parabola y2 = x and st.line 2 y = x is
MET Mock Test - 4 - Question 17
Save

If | z1 − 1 | < 1 , | z2 − 2 | < 2 , | z3 − 3 | < 3 then | z1 + z2 + z3 |
MET Mock Test - 4 - Question 18
Save

The order of the differential equation y(dy/dx)=x/(dy/dx)+(dy/dx)3 is
MET Mock Test - 4 - Question 19
Save

The solution of the equation xdy-ydx=0 is
MET Mock Test - 4 - Question 20
Save

The order of differential equation (d2y/dx2)2 = (1+dy/dx)1/2 is
*Answer can only contain numeric values
MET Mock Test - 4 - Question 21
Save

The number of solutions of the equation log(x + 1) (2x2 + 7x + 5) + log(2x + 5) (x + 1)2 - 4 = 0, x > 0, is ________.

Detailed Solution for MET Mock Test - 4 - Question 21

log(x + 1) (2x2 + 7x + 5) + log(2x + 5) (x + 1)2 - 4 = 0
log(x + 1) (2x + 5) (x + 1) + 2log(2x + 5) (x + 1) = 4
log(x + 1) (2x + 5) + 1 + 2 log(2x + 5) (x + 1) = 4
Put log(x + 1) (2x + 5) = t

t = 1, 2
log(x + 1) (2x + 5) = 1 and log(x + 1) (2x + 5) = 2
x + 1 = 2x + 3 and 2x + 5 = (x + 1)2
x = -4 (rejected) x2 = 4 ⇒ x = 2, -2 (rejected)
So, x = 2
No. of solutions = 1

*Answer can only contain numeric values
MET Mock Test - 4 - Question 22
Save

Let A =  and B =   Then the number of elements in the set {(n, m) : n, m ∈ {1, 2 ..., 10} and nAn + mBm = l} is ___________.

Detailed Solution for MET Mock Test - 4 - Question 22


⇒ AK = A, K ∈ l
nAn + mBm = nA + mB

So, 2n - m = 1,
-n + m = 0,
2m - n = 1
Hence, (m, n) = (1, 1)

*Answer can only contain numeric values
MET Mock Test - 4 - Question 23
Save

Let f(θ) = . Then the value of  is _______. (in integer)

Detailed Solution for MET Mock Test - 4 - Question 23


Clearly, f(θ) = asinsθ + bcosθ
Where a = 1 + dt
⇒ a = 1 + 2b ... (1)
and b = (at sint + bt cos t) dt  
⇒ b = 2a ... (2)
From (1) and (2), we get

So, f(θ) = 

*Answer can only contain numeric values
MET Mock Test - 4 - Question 24
Save

If  and , , then tan is equal to ________.

Detailed Solution for MET Mock Test - 4 - Question 24


Now,


MET Mock Test - 4 - Question 25
Save

Find the synonym of RUPTURE
MET Mock Test - 4 - Question 26
Save

Improve the sentence by choosing best alternative for capitalised part of the sentence.

Despite his old age, his movements were as spirited as A YOUNG MAN
MET Mock Test - 4 - Question 27
Save

Find the antonym of CORPULENT
MET Mock Test - 4 - Question 28
Save

Find the Synonym of LANGUISHING
MET Mock Test - 4 - Question 29
Save

Choose the alternative which best expresses the meaning of the idiom/phrase.

To be under a cloud
MET Mock Test - 4 - Question 30
Save

Improve the sentence by choosing best alternative for capitalised part of the sentence.

He has very good command ON English.
View more questions
10 tests
Join Course
Information about MET Mock Test - 4 Page
In this test you can find the Exam questions for MET Mock Test - 4 solved & explained in the simplest way possible. Besides giving Questions and answers for MET Mock Test - 4, EduRev gives you an ample number of Online tests for practice

Top Courses for JEE

Download as PDF

Top Courses for JEE

Important Questions for MET Mock Test - 4

Find all the important questions for MET Mock Test - 4 at EduRev.Get fully prepared for MET Mock Test - 4 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the MET Mock Test - 4 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of MET Mock Test - 4 resources.

MET Mock Test - 4 MCQs with Answers

Prepare for the MET Mock Test - 4 within the JEE exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for MET Mock Test - 4 MET Mock Test Series

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace MET Mock Test - 4 with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup