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Questions and Answers
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Body P having mass M moving with speed u has head-on collision elastically with another body Q having mass m initially at rest. If m << M, body Q will have a maximum speed equal to 2u after collision.
Reason R : During elastic collision, the momentum and kinetic energy are both conserved.
In the light of the above statements, choose the most appropriate answer from the options given below:
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Body P having mass M moving with speed u has head-on collision elastically with another body Q having mass m initially at rest. If m << M, body Q will have a maximum speed equal to 2u after collision. Reason R : During elastic collision, the momentum and kinetic energy are both conserved. In the light of the above statements, choose the most appropriate answer from the options given below:
- Both A and R are correct and R is the correct explanation of A
- A is correct but R is not correct.
- Both A and R are correct but R is NOT the correct explanation of A (correct)
- A is not correct but R is correct.
In the figure (i) a thin lens of focal length 10 cm is shown. The lens is cut into two equal parts, and the parts are arranged as shown in the figure (ii). An object AB of height 1 cm is placed at distance of 7.5 cm from the arrangement. The height of the final image will be: (in cm)
In the figure (i) a thin lens of focal length 10 cm is shown. The lens is cut into two equal parts, and the parts are arranged as shown in the figure (ii). An object AB of height 1 cm is placed at distance of 7.5 cm from the arrangement. The height of the final image will be: (in cm)
2 cm
A mass 0.9 kg, attached to a horizontal spring, executes SHM with an amplitude A1. When this mass passes through its mean position, then a smaller mass of 124 g is placed over it and both masses move together with amplitude A2. If the ratio A1/A2 is α/1, then the value of α will be _____
A mass 0.9 kg, attached to a horizontal spring, executes SHM with an amplitude A1. When this mass passes through its mean position, then a smaller mass of 124 g is placed over it and both masses move together with amplitude A2. If the ratio A1/A2 is α/1, then the value of α will be _____
- 14 (correct)
- 18
- 12
- 16
One mole of diatomic gas is being heated in a closed tank from 300 K up to 1000 K. During the process part of the molecules dissociate. At 1000 K the energy of the diatomic molecules are only half of that of the whole gas. By what factor has the gas pressure increased (Pfinal/Pinitial)? (The oscillation of the molecules are not to be taken in account).
One mole of diatomic gas is being heated in a closed tank from 300 K up to 1000 K. During the process part of the molecules dissociate. At 1000 K the energy of the diatomic molecules are only half of that of the whole gas. By what factor has the gas pressure increased (Pfinal/Pinitial)? (The oscillation of the molecules are not to be taken in account).
The truth table for the given logic circuit is:
The truth table for the given logic circuit is:
The electron drift speed is small, and the charge of the electron is also small, but still, we obtain large current in a conductor. This is due to:
The electron drift speed is small, and the charge of the electron is also small, but still, we obtain large current in a conductor. This is due to:
Which of the following pairs of physical quantities does not have same dimensional formula ?
Which of the following pairs of physical quantities does not have same dimensional formula ?
A body is moving unidirectionally under the influence of a source of constant power. The square of its displacement in time t is proportional to
A body is moving unidirectionally under the influence of a source of constant power. The square of its displacement in time t is proportional to
An ice cube of mass M and with sides of length a is sliding without friction with speed vo when it hits a ridge O at the edge of counter (see figure). This collision causes the cube to tilt as shown. The minimum value of vo needed for the cube to fall off the table is given by √ kag. Find value of 10k.
An ice cube of mass M and with sides of length a is sliding without friction with speed vo when it hits a ridge O at the edge of counter (see figure). This collision causes the cube to tilt as shown. The minimum value of vo needed for the cube to fall off the table is given by √ kag. Find value of 10k.
In a hydrogen sample, if the atoms are excited to states with principal quantum number 20, then the number of different wavelengths which may be observed in the spectrum is :
In a hydrogen sample, if the atoms are excited to states with principal quantum number 20, then the number of different wavelengths which may be observed in the spectrum is :
A convex lens of focal length 25 cm and made of glass with refractive index 1.5 is immersed in water. The absolute change in focal length of the glass is
[Use refractive index of water = 4/3]
A convex lens of focal length 25 cm and made of glass with refractive index 1.5 is immersed in water. The absolute change in focal length of the glass is [Use refractive index of water = 4/3]
For photoelectric effect which of the following statements are true.
I) The kinetic energies of the photoelectrons do not depend on the frequency of light
II) Photoelectric effect will always occur for highly intense light
III) The maximum kinetic energy of photoelectron does not depend upon the intensity of the light
IV) The escaping electron's kinetic energy is larger for larger frequency
For photoelectric effect which of the following statements are true. I) The kinetic energies of the photoelectrons do not depend on the frequency of light II) Photoelectric effect will always occur for highly intense light III) The maximum kinetic energy of photoelectron does not depend upon the intensity of the light IV) The escaping electron's kinetic energy is larger for larger frequency
The circuit shown in the figure is in steady state for a long time. The connection to battery is suddenly broken (switch S is opened up). What is the charge (in µC) on the capacitor after 0.001 sec.?
The circuit shown in the figure is in steady state for a long time. The connection to battery is suddenly broken (switch S is opened up). What is the charge (in µC) on the capacitor after 0.001 sec.?
A plane electromagnetic wave is propagating along the positive z direction. If the electric field component of this wave is in the direction (i + j), then which of the following is the direction of the magnetic field component?
A plane electromagnetic wave is propagating along the positive z direction. If the electric field component of this wave is in the direction (i + j), then which of the following is the direction of the magnetic field component?
It is known for a certain liquid that it takes 70 s to cool from 55°C to 50°C and 30 s to cool from 95°C to 90°C. Figure out the ambient temperature of the room.
It is known for a certain liquid that it takes 70 s to cool from 55°C to 50°C and 30 s to cool from 95°C to 90°C. Figure out the ambient temperature of the room.
A cylindrical tube filled with water (μw = 4/3) is closed at its both ends by two thin, silvered plano-convex lenses, as shown in the figure. Refractive index of lenses L1 and L2 are 2.0 and 1.5, while their radii of curvatures are 5 cm and 9 cm, respectively. A point object is placed somewhere at a point O on the axis of the cylindrical tube. If it is found that all the images formed by multiple refractions and reflections coincide with the object, then the distance between both the lenses is
A cylindrical tube filled with water (μw = 4/3) is closed at its both ends by two thin, silvered plano-convex lenses, as shown in the figure. Refractive index of lenses L1 and L2 are 2.0 and 1.5, while their radii of curvatures are 5 cm and 9 cm, respectively. A point object is placed somewhere at a point O on the axis of the cylindrical tube. If it is found that all the images formed by multiple refractions and reflections coincide with the object, then the distance between both the lenses is
Consider a thermodynamic process where internal energy U = AP² V( A = constant). If the process is performed adiabatically, then
Consider a thermodynamic process where internal energy U = AP² V( A = constant). If the process is performed adiabatically, then
Match the physical quantities with their correct SI units.
Match the physical quantities with their correct SI units.
A current I flows through a cylindrical rod of uniform cross-section area A and resistivity ρ. The electric flux through the shaded cross-section of rod as shown in figure is:
A current I flows through a cylindrical rod of uniform cross-section area A and resistivity ρ. The electric flux through the shaded cross-section of rod as shown in figure is:
Two point charges -q and +q are located at points (0,0, -a) and (0,0, a) respectively. The electric potential at a point (0, 0, z), where z > a is
Two point charges -q and +q are located at points (0,0, -a) and (0,0, a) respectively. The electric potential at a point (0, 0, z), where z > a is
Flashcards
Elastic Head-on Collision (m<<M)
Elastic Head-on Collision (m<<M)
A collision where a body (P) with mass M and speed u collides head-on with another body (Q) of mass m initially at rest. If m is much smaller than M, body Q will have a maximum speed equal to 2u after the collision.
Elastic Collision: Conserved Quantities
Elastic Collision: Conserved Quantities
During an elastic collision, both the total momentum and the total kinetic energy of the system are conserved.
Large Current in Conductor
Large Current in Conductor
The electron drift speed is small, and the charge of the electron is also small, but the large current in a conductor is due to the enormous electron number density of the conductor.
Work vs. Torque Dimensions
Work vs. Torque Dimensions
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Displacement with Constant Power
Displacement with Constant Power
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Rydberg constant
Rydberg constant
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Study Notes
- JEE MAINS QFT-20 2025 is the name of the document.
- The document also includes the phrase "JEE, let's talk about JEE."
- A test paper includes physics, chemistry, and mathematics sections, each containing single correct and numerical type questions
Physics Single Correct
- The physics section has a maximum marks of 80.
- Questions 1-14 are single correct type questions.
- Topics cover mechanics, optics, thermodynamics, and electromagnetism.
- Question 1 involves elastic collisions and the maximum speed of a body after a collision.
- Question 2 involves a thin lens cut into two equal parts and the height of the final image.
- Question 3 involves SHM and the amplitude of the mass and spring.
- Question 4 involves a diatomic gas being heated in a closed tank and the factor by which the gas pressure has increased.
- Question 5 involves a logic circuit and determining the truth table.
- Question 6 involves the drift speed, charge, obtainment of larger current in a conductor.
- Question 7 involves identifying which pair of physical quantities doesn't have the same dimensional formula.
- Question 8 involves identifying what the square of displacement in time t is proportional to.
- Question 9 involves an ice cube sliding without friction when it hits a ridge and the minimum value needed for the cube to fall off the table.
- Question 10 involves a hydrogen sample and the number of different wavelengths which may be observed in the spectrum.
- Question 11 involves an convex lends and the refractive index with water.
- Question 12 asks to pick a correct statement about photoelectric effect.
- Question 13 involves a circuit with a capacitor, and the battery is suddenly broken, and asks for the charge on the capacitor.
- Question 14 involves a plane electromagnetic wave propagating along the positive z direction magnetic field component.
- Question 15 includes for a certain liquid it takes 70 s to cool from 55°C to 50°C and 30 s to cool from 95°C to 90°C what the ambient temperature of the room is..
Physics Numerical
- The physics section includes numerical type questions, with a maximum of 20 marks.
- Questions 1-5 are numerical type.
- Question 1 involves a closely wound solenoid and the magnitude of magnetic field inside the solenoid.
- Question 2 involves a parallel plate capacitor and the dielectic constant of the dielectric slab.
- Question 3 involves binary stars rotating under mutual gravitational force and the ratio of mass from bigger star to smaller star.
- Question 4 involves throwing a particle from one side of a find sphere and the minimum possible speed for this.
- Question 5 involves the density of a material in air and the loss of weight in water.
Chemistry Single Correct
- The chemistry section has a maximum marks of 80.
- It features single correct type questions (1-20).
- Question 1 is a matching type question, matching items from Column-I to Column-II.
- Question 2 involves the rate constant for the decomposition of HI on a gold surface.
- Question 3 involves statements about liquid-liquid junction potential.
- Question 4 focuses on identifying the correct statements about coordination complexes.
- Question 5 is about identifying the major product of an organic reaction.
- Question 6 involves statements about vapour pressure and equilibrium constant.
- Question 7 requires identifying the correct statement regarding dihydrogen as a fuel.
- Question 8 involves a plot of wave number against the Rydberg constant.
- Question 9 involves the assertion that Thiophene is present in commercial benzene.
- Question 10 requires identifying the true statements for glycine.
- Question 11 is about electronic configuration of the metal.
- Question 12 involves correct statements for classification of elements.
- Question 13 asks which has the maximum number of hybrid orbitals?.
- Question 14 involves total number of elements and positive electron gain enthalpy.
- Question 15 has a structure prediction based on organic reactions and product analysis
- Question 16 requires to pick which of the statements is true given the reaction.
- Question 17 has a question about wavelengths and the uncertanity principle.
- Question 18 requires correct statements about reactions.
- Question 19 involves the assertion that refining of petroleum involves the fractional distillation.
- Question 20 requires to note the enthalpy of formation of carbon monoxide.
Chemistry Numerical
- The chemistry section has numerical type questions, with a maximum marks of 20.
- Questions 1-5 are numerical type.
- Question 1 involves the Kjeldahl method.
- Question 2 involves the molar mass for product R.
- Question 3 has consideration of some ligands.
- Question 4 asks the number of reaction(s) that produce(s) benzaldehyde.
- Question 5 involves concentration of NH4Cl and NH4OH in a buffer solution.
Mathematics Single Correct
- The mathematics section has a maximum marks of 80.
- The questions are single correct type.
- Question 1 involves finding the value of function given (a.b).
- Question 2 involves vectors and the correct value of vector equations.
- Question 3 to pick a solution of differential equationx² dy/dx + y²e^(y/x) = 2y(x - y)
- Question 4 involves a square that is folded and the shortest distance.
- Question 5 has the use of matrices.
- Question 6 has a rectangle, triangle, altitude and the value of $k/4$.
- Question 7 involves six letter words and the dictionary order of the word number.
- Question 8 The question involves the relationship between (a,b).
Mathematics Numerical
- The mathematics section contains numerical type questions, with a maximum marks of 20.
- Question 1 asks to find the value of ∫ max(\sin x), |sin¯¹(sinx)|)dx.
- Question 2 involves equations and AP with variables a, g and a numerical end total.
- Question 3 involves $lim$ and asking for the equation.
- Question 4 asks if the formula of the directrix of the parabola and intersects the circle, what is the absolute value of k.
- Question 5 asks if w is the imaginary cube root of unity, then the number of pairs of integers (a, b).
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