JEE Physics Chemistry Mathematics Quiz

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Questions and Answers

Which combination accurately matches the force values in List-I with the corresponding friction values in List-II?

P → 2; Q → 2; R → 3; S → 4

P → 1; Q → 2; R → 3; S → 4 (correct)

P → 1; Q → 2; R → 5; S → 4

P → 1; Q → 5; R → 3; S → 4

Which option correctly pairs the focal lengths from List-I with the values in List-II using the lens maker formula?

P → 4; Q → 1; R → 2; S → 3 (correct)

P → 3; Q → 2; R → 1; S → 4

P → 4; Q → 2; R → 1; S → 3

P → 1; Q → 2; R → 4; S → 3

What is the correct match for the angle of deviation values in List-I with the corresponding ray diagrams in List-II?

Angle of 60° corresponds to Diagram 3

Angle of 45° corresponds to Diagram 1

Angle of 90° corresponds to Diagram 4

Angle of 30° corresponds to Diagram 2 (correct)

Which list correctly identifies the relationships between force in newtons and their corresponding values of friction from List-II?

F = 40 N corresponds to 16 N of friction Signup and view all the answers

In the lens maker formula, which relationships for thin lenses in List-I correctly refer to their corresponding values in List-II?

P relates to 4R, Q relates to –2R, R relates to –4R, S relates to 2R Signup and view all the answers

What is the value of the Boltzmann constant?

1.38 × 10–23 JK–1 Signup and view all the answers

Which of the following is the universal gravitational constant?

6.67259 × 10–11 N–m^2 kg–2 Signup and view all the answers

What is the speed of light in vacuum?

3 × 10^8 ms–1 Signup and view all the answers

Which constant is used in Coulomb's law?

9 × 10^9 N–m^2 kg–2 Signup and view all the answers

What is the value of the Stefan–Boltzmann constant?

5.67 × 10–8 Wm^2–K^4 Signup and view all the answers

Which constant represents the Planck constant?

6.63 × 10–34 J–s Signup and view all the answers

Which of the following constants is used in Wien's displacement law?

2.89 × 10–3 m–K Signup and view all the answers

What does the permittivity of vacuum represent?

8.85 × 10–12 F/m Signup and view all the answers

What is the value of acceleration at t = 3 sec based on the graph of velocity versus time?

5 m/s² Signup and view all the answers

What is the position of the final image from point C when the object is placed at a distance of 9 meters from a glass hemisphere?

22.5 m left of C Signup and view all the answers

When the string connecting two blocks on a wedge is cut, which statement is correct?

Speed of mass 2 will be larger at the bottom. Signup and view all the answers

What is the angle of incidence at which the deviation graph was plotted for a light ray striking a prism?

45º Signup and view all the answers

If the radius of the hemisphere is 3 meters, what is the focal length of the lens-like effect produced by the hemisphere?

3 m Signup and view all the answers

In a system where two blocks are released from the same height, which factor influences their final velocities at the bottom of the wedge?

Angle of the wedge Signup and view all the answers

When analyzing the motion of the blocks on a frictionless wedge, which law is primarily applied?

Newton's Second Law Signup and view all the answers

What happens to the velocity of a block when the string connecting it to another block is suddenly cut?

Velocity increases instantly Signup and view all the answers

Which statements correctly describe P, Q, R, and S from List-I?

P → 2,3; Q → 4; R → 2,5; S → 1,3 Signup and view all the answers

Which pair of compounds are described as enantiomers?

Q and R Signup and view all the answers

Which type of isomerism applies only to R?

Positional isomerism Signup and view all the answers

Which statement best describes S from List-I?

S behaves like a symmetrical compound. Signup and view all the answers

Which of the following pairs represents chain isomers?

P and S Signup and view all the answers

Which compound can show geometrical isomerism?

Q Signup and view all the answers

Which of the following statements about optical isomerism is true for P?

P can show optical isomerism. Signup and view all the answers

Which of these describes a compound's ability shown in List-II?

Compound can show geometrical isomerism. Signup and view all the answers

What is the complete set of values of x for which sin –1(x) > sin –1(x2)?

(0, 1) Signup and view all the answers

If sin –1x + sin –1y = 2 π, what is the corresponding value of 18a where a = cos –1x + cos –1y?

6 Signup and view all the answers

What is the value of cos(tan –1(x))?

$\frac{x}{\sqrt{1 + x^2}}$ Signup and view all the answers

What is the result of sin(2tan –1(4)) + cos(2tan –1(3))?

0 Signup and view all the answers

Which of the following options correctly describes the graphical representation of sin –1(x)?

It increases monotonically across its domain. Signup and view all the answers

If you have the equation tan –1(x) + tan –1(y) = π/4, which of the following must be true?

xy = 1 Signup and view all the answers

In which case does the identity sin^2(a) + cos^2(a) = 1 hold true?

For all real numbers a. Signup and view all the answers

What is the range of the function cos –1(x)?

[0, π] Signup and view all the answers

Study Notes

Question Paper Structure

Contains three parts: Physics, Chemistry, Mathematics
Final instructions provided on the last page

Basic Constants and Values

Gravitational Acceleration (g): 10 m/s²
Atomic Numbers:
- H = 1, B = 5, C = 6, N = 7, O = 8, F = 9, Al = 13, P = 15, S = 16, Cl = 17, Br = 35, Xe = 54, Ce = 58
Atomic Masses:
- H = 1, Li = 7, B = 11, C = 12, N = 14, O = 16, F = 19, Na = 23, Mg = 24, Al = 27, P = 31, S = 32, Cl = 35.5, Ca = 40, Fe = 56, Br = 80, I = 127, Xe = 131, Ba = 137, Ce = 140

Fundamental Physics Constants

Boltzmann constant: k = 1.38 × 10⁻²³ JK⁻¹
Coulomb's law constant: ( \frac{1}{4\pi\epsilon_0} = 9 × 10⁹ )
Universal gravitational constant: G = 6.67259 × 10⁻¹¹ N·m²/kg²
Speed of light in vacuum: c = 3 × 10⁸ m/s
Stefan–Boltzmann constant: σ = 5.67 × 10⁻⁸ W/m²·K⁴
Wien's displacement law constant: b = 2.89 × 10⁻³ m·K
Permeability of vacuum: ( \mu_0 = 4\pi × 10^{-7} ) N/A²
Permittivity of vacuum: ( \epsilon_0 = \frac{1}{\mu_0 c^2} )
Planck constant: h = 6.63 × 10⁻³⁴ J·s

Exam Format and Scoring

Negative marking policy:
- Full Marks: +3 for correct answers
- Zero Marks: 0 for unanswered questions
- Negative Marks: -1 for incorrect selections

Sample Physics Questions Overview

Acceleration calculation based on a velocity vs. time graph
Image position determination using refraction indices
Effects of cutting a string connecting two blocks on a wedge with no friction
Angle of deviation related to the angle of incidence in a prism

Chemistry Questions Overview

Identifying functional group differences, isomer types, and their properties
Relationship between focal lengths using the lens maker formula
Options selecting correct combinations for various compounds based on isomerism

Mathematics Questions Overview

Solving inequalities involving inverse sine functions
Combinations of sine and cosine functions with inverse angle relationships
Calculation involving tangent and derived functions in a trigonometric context

Additional Notes

Ensure familiarity with constants and their applications
Understand question paper distribution among Physics, Chemistry, and Mathematics
Pay attention to marking schemes and question types to strategize answering techniques

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Description

Prepare for the JEE (Main + Advanced) with this comprehensive quiz covering important topics in Physics, Chemistry, and Mathematics. Ensure you familiarize yourself with essential constants and principles that are crucial for success in the examination.