MET Mock Test - 4

Question 1

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

Accepted Answer

Answer

Answer

Answer

Question 2

A stone of mass m is attached to one end of a wire of cross-sectional area A and Young's Modulus Y. The stone is revolved in a horizontal circle at speed so that the wire makes an angle θ with the vertical, the strain produced in the wire is

Accepted Answer

Answer

Answer

Answer

Question 3

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.

Accepted Answer

Answer

Answer

Answer

Question 4

A solid ball of radius R has a charge density ρ given by for 0 ≤ r ≤ R. The electric field outside the ball is:

Accepted Answer

Answer

Answer

Answer

Question 5

If and are two vectors satisfying the relation . Then the value of will be:

Accepted Answer

Answer

Answer

Answer

Question 6

Unpolarized light of intensity I is incident on a system of two polarizers, A followed by B. The intensity of emergent light is I/2. If a third polarizer C is placed between A and B, the intensity of emergent light is reduced to I/3. The angle between polarizers A and C is θ. Then,

Accepted Answer

Answer

Answer

Answer

Question 7

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

Accepted Answer

Question 8

The focal length of a thin biconvex lens is 20 cm. When an object is moved from a distance of 25 cm in front of it to 50 cm, the magnification of its image changes from m₂₅ to m₅₀. The ratio is m₅₀ / m₂₅ is
(Round off upto 2 decimal places)

(Round off upto 2 decimal places)

Accepted Answer

Question 9

The figure below shows a conducting rod of negligible resistance that can slide on smooth U-shaped rail made of wire of resistance 2 Ω/m. The position of the conducting rod at t = 0 is shown. A time-dependent magnetic field B = 4t T is switched on at t = 0.
The rod moves towards right at 10 cm/s. The current (in A) in the loop at t = 3 s due to induced emf is
(Round off up to 2 decimal places)

The rod moves towards right at 10 cm/s. The current (in A) in the loop at t = 3 s due to induced emf is

(Round off up to 2 decimal places)

Accepted Answer

Question 10

In presence of alkali, C₂H₅OH reacts with Cl₂ to give

Accepted Answer

Chloroform

Answer

Ethane

Answer

Ethyl chloride

Answer

Pyrene

Question 11

At room temperature formaldehyde is

Accepted Answer

Gas

Answer

Liquid

Answer

Solid

Answer

None of the above

Question 12

Schiff's reagent is

Accepted Answer

Rosaniline hydrochloride

Answer

Alkine phenolphthalein

Answer

Methyl red

Answer

Red litmus

Question 13

The product acetal is produced by reacting alcohol in the presence of dry HCl with

Accepted Answer

Acetaldehyde

Answer

Ketone

Answer

Carboxylic acid

Answer

Ether

Question 14

The addition of HBr to 2-pentene gives

Accepted Answer

2-bromopentane and 3-bromopentane

Answer

2-bromopentane only

Answer

3-bromopentane only

Answer

1-bromopentane and 3-bromopentane

Question 15

Which one of the following compounds is not a vitamin?

Accepted Answer

Testosterone

Answer

Ascorbic acid

Answer

Thiamine

Answer

Riboflavin

Question 16

The substances which act as emulsifiers in lipid metabolism are

Accepted Answer

Bile juices

Answer

Fatty acids

Answer

Amino acids

Answer

Sulphonic acids

Question 17

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]

Accepted Answer

Question 18

The electrode potential for the given half cell reaction at pH = 5 will be - ____.

(R = 8.314 J mol^–1 K^–1; Temp. = 298 K; Oxygen under std. atm. pressure of 1 bar)
(answer upto 2 decimal places)

Accepted Answer

Question 19

If ω is a cube of unity and equation has one root . Then

Accepted Answer

x = 0

Answer

x = 1

Answer

x = &omega;

Answer

x = &omega;2

Question 20

If | z₁ − 1 | < 1 , | z₂ − 2 | < 2 , | z₃ − 3 | < 3 then | z₁ + z₂ + z₃ |

Accepted Answer

is less than 12

Answer

is less than 6

Answer

is more than 3

Answer

lies between 6 and 12

Question 21

The order of the differential equation y(dy/dx)=x/(dy/dx)+(dy/dx)³ is

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Question 22

Accepted Answer

0

Answer

abc

Answer

a + b + c

Answer

a² + b² + c²

Question 23

If f x = x − x² + x³ − x⁴ + … ∞ , | x | < 1, then f′(x) =

Accepted Answer

1/(1 + x)²

Answer

1/1 + x

Answer

1/1 &minus; x

Answer

1/(1 − x)²

Question 24

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

Accepted Answer

Question 25

Find the antonym of ALIENATE

Accepted Answer

Identify

Answer

Gather

Answer

Assemble

Answer

Unite

Question 26

Find the synonym of RUPTURE

Accepted Answer

break

Answer

gap

Answer

damage

Answer

breach

Question 27

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

Accepted Answer

those of a young man

Answer

a young man's

Answer

if a young man

Answer

of a young man

Question 28

Find the antonym of CORPULENT

Accepted Answer

gaunt

Answer

belligerent

Answer

garrulous

Answer

fat

Question 29

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

To be under a cloud

Accepted Answer

to be in disgrace

Answer

to be in the dark

Answer

to be hidden

Answer

to be suspicious

Question 30

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

He has very good command ON English.

Accepted Answer

of

Answer

over

Answer

in

Answer

No improvement

MET Mock Test - 4 Free Online Test 2026

Full Mock Test & Solutions: MET Mock Test - 4 (60 Questions)

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

A stone of mass m is attached to one end of a wire of cross-sectional area A and Young's Modulus Y. The stone is revolved in a horizontal circle at speed so that the wire makes an angle θ with the vertical, the strain produced in the wire is

A solid ball of radius R has a charge density ρ given by for 0 ≤ r ≤ R. The electric field outside the ball is:

If and are two vectors satisfying the relation . Then the value of will be:

Unpolarized light of intensity I is incident on a system of two polarizers, A followed by B. The intensity of emergent light is I/2. If a third polarizer C is placed between A and B, the intensity of emergent light is reduced to I/3. The angle between polarizers A and C is θ. Then,

The focal length of a thin biconvex lens is 20 cm. When an object is moved from a distance of 25 cm in front of it to 50 cm, the magnification of its image changes from m₂₅ to m₅₀. The ratio is m₅₀ / m₂₅ is
(Round off upto 2 decimal places)

In presence of alkali, C₂H₅OH reacts with Cl₂ to give

At room temperature formaldehyde is

Schiff's reagent is

The product acetal is produced by reacting alcohol in the presence of dry HCl with

The addition of HBr to 2-pentene gives

Which one of the following compounds is not a vitamin?

The substances which act as emulsifiers in lipid metabolism are

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]

The electrode potential for the given half cell reaction at pH = 5 will be - ____.

(R = 8.314 J mol^–1 K^–1; Temp. = 298 K; Oxygen under std. atm. pressure of 1 bar)
(answer upto 2 decimal places)

If ω is a cube of unity and equation has one root . Then

If | z₁ − 1 | < 1 , | z₂ − 2 | < 2 , | z₃ − 3 | < 3 then | z₁ + z₂ + z₃ |

The order of the differential equation y(dy/dx)=x/(dy/dx)+(dy/dx)³ is

If f x = x − x² + x³ − x⁴ + … ∞ , | x | < 1, then f′(x) =

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

Find the antonym of ALIENATE

Find the synonym of RUPTURE

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

Find the antonym of CORPULENT

Choose the alternative which best expresses the meaning of the idiom/phrase.
To be under a cloud

Improve the sentence by choosing best alternative for capitalised part of the sentence.
He has very good command ON English.

MET Mock Test Series

MET Mock Test Series

Top Courses for JEE

Schools

Competitive Exams

International Exams

Quick Links

About this JEE Mock Test

Explore more JEE Resources

MET Mock Test - 4 Free Online Test 2026

Full Mock Test & Solutions: MET Mock Test - 4 (60 Questions)

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

A stone of mass m is attached to one end of a wire of cross-sectional area A and Young's Modulus Y. The stone is revolved in a horizontal circle at speed so that the wire makes an angle θ with the vertical, the strain produced in the wire is

A solid ball of radius R has a charge density ρ given by for 0 ≤ r ≤ R. The electric field outside the ball is:

If and are two vectors satisfying the relation . Then the value of will be:

Unpolarized light of intensity I is incident on a system of two polarizers, A followed by B. The intensity of emergent light is I/2. If a third polarizer C is placed between A and B, the intensity of emergent light is reduced to I/3. The angle between polarizers A and C is θ. Then,

The focal length of a thin biconvex lens is 20 cm. When an object is moved from a distance of 25 cm in front of it to 50 cm, the magnification of its image changes from m25 to m50. The ratio is m50 / m25 is(Round off upto 2 decimal places)

In presence of alkali, C₂H₅OH reacts with Cl₂ to give

At room temperature formaldehyde is

Schiff's reagent is

The product acetal is produced by reacting alcohol in the presence of dry HCl with

The addition of HBr to 2-pentene gives

Which one of the following compounds is not a vitamin?

The substances which act as emulsifiers in lipid metabolism are

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]

The electrode potential for the given half cell reaction at pH = 5 will be - ____. (R = 8.314 J mol–1 K–1; Temp. = 298 K; Oxygen under std. atm. pressure of 1 bar) (answer upto 2 decimal places)

If ω is a cube of unity and equation has one root . Then

If | z1 − 1 | < 1 , | z2 − 2 | < 2 , | z3 − 3 | < 3 then | z1 + z2 + z3 |

The order of the differential equation y(dy/dx)=x/(dy/dx)+(dy/dx)3 is

If f x = x − x2 + x3 − x4 + … ∞ , | x | < 1, then f′(x) =

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

Find the antonym of ALIENATE

Find the synonym of RUPTURE

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

Find the antonym of CORPULENT

Choose the alternative which best expresses the meaning of the idiom/phrase.To be under a cloud

Improve the sentence by choosing best alternative for capitalised part of the sentence.He has very good command ON English.

MET Mock Test Series

MET Mock Test Series

Top Courses for JEE

About this JEE Mock Test

Explore more JEE Resources

The focal length of a thin biconvex lens is 20 cm. When an object is moved from a distance of 25 cm in front of it to 50 cm, the magnification of its image changes from m₂₅ to m₅₀. The ratio is m₅₀ / m₂₅ is
(Round off upto 2 decimal places)

The electrode potential for the given half cell reaction at pH = 5 will be - ____.

(R = 8.314 J mol^–1 K^–1; Temp. = 298 K; Oxygen under std. atm. pressure of 1 bar)
(answer upto 2 decimal places)

If | z₁ − 1 | < 1 , | z₂ − 2 | < 2 , | z₃ − 3 | < 3 then | z₁ + z₂ + z₃ |

The order of the differential equation y(dy/dx)=x/(dy/dx)+(dy/dx)³ is

If f x = x − x² + x³ − x⁴ + … ∞ , | x | < 1, then f′(x) =

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

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

Choose the alternative which best expresses the meaning of the idiom/phrase.
To be under a cloud

Improve the sentence by choosing best alternative for capitalised part of the sentence.
He has very good command ON English.