Advanced Physics Problems
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Questions and Answers

What happens to a trough of water placed in a very large evacuated room?

  • Only evaporation occurs.
  • It remains unchanged.
  • Only freezing occurs.
  • Part of it evaporates and the remaining freezes. (correct)

Which statement is true regarding the Assertion (A) and Reason (R) given?

  • Both are true, and R explains A. (correct)
  • Both are true, but R does not explain A.
  • A is false, but R is true.
  • A is true, but R is false.

What is the relationship between the coefficient of real expansion of a liquid (γL) and the coefficient of linear expansion of a cube (αS) when the submerged depth remains constant?

  • γL equals 2αS. (correct)
  • γL equals αS/2.
  • γL is less than αS.
  • γL is greater than 2αS.

When a thin rod at 1000°C is cooled to 0°C without contracting, what does the mass attached at the lower end represent?

<p>The force required to maintain the rod's length. (C)</p> Signup and view all the answers

What is the marking scheme when answering questions in this content?

<p>+4 for correct answers, 0 if not attempted, -1 for incorrect answers. (A)</p> Signup and view all the answers

What is the relationship between the stopping potential and the frequency of incident light according to the given statements?

<p>They are directly proportional. (B)</p> Signup and view all the answers

If the frequency of the light incident on a metallic surface is doubled, what can be concluded about the maximum kinetic energy?

<p>It doubles according to the provided statements. (D)</p> Signup and view all the answers

In the quaternary star system described, what governs the time period of each of the three orbiting stars?

<p>The total mass of the central star and the three orbiting stars. (C)</p> Signup and view all the answers

Which statement best describes the concept of gravitational force in the three-star system?

<p>All stars exert gravitational force on each other equally. (C)</p> Signup and view all the answers

Which of the following is accurate regarding the orbital dynamics of the three stars in the system?

<p>The mass of the three orbiting stars does not affect their orbital period. (B)</p> Signup and view all the answers

What is the relationship between the new stationary heat flow and the original rate of heat flow in the absence of the heat shield?

<p>The new flow is one-nth of the original flow. (B)</p> Signup and view all the answers

Under which scenario does the net rate of heat flow per unit area remain constant in the presence of a heat shield?

<p>In steady state conditions. (A)</p> Signup and view all the answers

How many equations are needed to represent the heat flow in the given scenario with the heat shield?

<p>Three equations are necessary. (D)</p> Signup and view all the answers

Which statement correctly explains how thermal radiations differ from other forms of electromagnetic radiation?

<p>Thermal radiation corresponds to lower frequencies than visible light. (D)</p> Signup and view all the answers

What does the symbol $ au$ represent when constructed in a steady state heat flow equation?

<p>Temperature difference. (B)</p> Signup and view all the answers

What is the relationship between the transition energy shared by the recoiling helium ion and the photon?

<p>It is the sum of kinetic energy and photon energy. (D)</p> Signup and view all the answers

If the photon momentum is equal to the negative momentum of the helium, which equation represents this conservation of momentum?

<p>$ P_{Photon} = -P_{He} $ (D)</p> Signup and view all the answers

What is the kinetic energy of the recoiling helium atom based on the provided equations?

<p>37.2 eV (B)</p> Signup and view all the answers

Given the mass and radius of a solid cylinder and the torque acting on it, which equation helps to find the value of 'n' in the scenario described?

<p>$ Torque = I \cdot \alpha $ where I is the moment of inertia. (C)</p> Signup and view all the answers

What is the calculated value of speed v for the recoiling helium atom according to the computations shown?

<p>$3.1 \times 10^2 m/s$ (C)</p> Signup and view all the answers

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Flashcards

Evaporation

The process of a liquid changing into a gas at any temperature, not just the boiling point.

Boiling point

The temperature at which a liquid turns into a gas under atmospheric pressure.

Cube expansion in a liquid

A cube's volume expands when heated, causing it to float higher in the liquid.

Coefficient of real expansion (γL)

The property of a material that describes how much its volume changes with temperature.

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Coefficient of linear expansion (αS)

The property of a material that describes how much its length changes with temperature.

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Steady State Heat Flow

The rate of heat flow per unit area is constant throughout a system under steady-state conditions.

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Thermal Radiation Propagation

Thermal radiation doesn't need a medium to travel, just like light.

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Stefan-Boltzmann Law

The rate of heat flow due to radiation is proportional to the difference in the fourth powers of the temperatures of the surfaces.

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Heat Shield Function

A heat shield reduces heat transfer by radiation by creating multiple surfaces with different temperatures, slowing down the heat flow.

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Heat Shield Effect

Adding the heat flow rates across each surface of the heat shield, we get the total heat flow equals the original heat flow divided by 3.

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Stopping Potential (V0)

The stopping potential (V0) is the minimum negative potential applied to the collector electrode to stop the photoelectrons from reaching it.

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Maximum Kinetic Energy (Kmax)

The maximum kinetic energy (Kmax) of the photoelectrons is the maximum energy they possess when ejected from the metal surface.

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Photoelectric Effect

The photoelectric effect is the emission of electrons from a metal surface when light shines on it.

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Threshold Frequency (v0)

The threshold frequency (v0) is the minimum frequency of light required to eject electrons from a metal surface.

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Photon Energy

The energy of a photon is directly proportional to its frequency.

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Transition energy (ΔE)

The energy difference between the initial and final energy levels of an electron in a hydrogen atom, causing the electron to jump from the n=2 to n=1 level.

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Photon Energy (hf)

The energy carried by the photon emitted during the electron's transition from the n=2 to n=1 level in a hydrogen atom. It's calculated by subtracting the initial energy level from the final energy level.

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Kinetic Energy (KE)

The energy carried by the recoiling helium ion after the electron's transition in a hydrogen atom. It's a result of the conservation of momentum, where the momentum transferred to the electron is equal and opposite to the momentum of the recoiling helium ion.

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Conservation of Energy

The principle where the total energy of a system remains constant before and after a transition, even if the energy changes form, such as from potential to kinetic.

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Conservation of Momentum

The principle stating that the total momentum of an isolated system remains constant, even when parts of the system move. In this case, the momentum of the photon is equal and opposite to the momentum of the recoiling helium ion.

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Study Notes

Physics Problems and Solutions

  • Problem 7: A cube of side 'a' and coefficient of linear expansion αs is floating in a liquid with a coefficient of real expansion γL at 0°C. The temperature of the system increases, but the depth of the cube submerged remains the same. Find γL/αs.

    • The mass of liquid displaced remains constant.
    • The relationship between γL and αs is γL = 2αs.
  • Problem 8: A thin rod (negligible mass, cross-sectional area 4 x 10-7 m2) suspended vertically has a length L at 100°C. It's cooled to 0°C, and a mass is attached to prevent contraction. Find the attached mass.

    • Heat flow due to radiation is reduced by a heat shield.
    • In steady state, the net heat flow per unit area is the same everywhere.
  • Problem 1: Assertion (A): When water is placed in a large evacuated room, some evaporates and the rest freezes. Reason (R): A liquid boils at its boiling point but evaporates at any temperature.

    • Both A and R are true, and R is the correct explanation of A.
  • Problem 16: An ideal string is wrapped around a solid cylinder (mass 4 kg, radius 1 m). The torque acting on the cylinder is 80 N-m. Find the value of 'n' (in context of a related problem).

    • The problem involves forces acting on the system.
  • Problem 1: Light and thermal radiations are electromagnetic. Thermal radiations need no medium for propagation.

    • Both assertions are true, and the reason is the correct explanation of the assertion.
  • Problem 6: A quaternary star system has three identical stars orbiting a central star.

    • The time period of each orbiting star is related to the masses and distance.
    • The correct formula is 2π√(r3 / G(M + 3m)).
  • Problem 5: 2 kg of ice at -20°C is mixed with 5 kg of water at 20°C.

    • The final mass of water is 6 kg.
    • The relevant constants are specific heats and latent heat of fusion.
  • Problem 6: A slab of glass (thickness 6 cm, refractive index 1.5) is placed in front of a concave mirror, with perpendicular faces.

    • The problem describes a situation involving reflection and refraction.

Supplementary Concepts

  • Interference: The problem involves the conditions for constructive interference between a direct ray and reflected rays (relevant angle θ).

  • Kinetic Energy and Stopping Potential: For photoelectric effect change of frequency impacts the maximum kinetic energy and stopping potential in a linear fashion.

  • Thermodynamics: Concepts of heat exchange, phase transitions (melting), and temperature changes are crucial in solving problems that involve mixing substances.

  • Gravitational Force: The solutions to quaternary star systems rely on Newton's Law of Gravitation.

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Test your understanding of advanced physics concepts with these challenging problems. Topics include thermal expansion, heat flow, and properties of materials at different temperatures. Perfect for students looking to deepen their knowledge in physics.

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