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Questions and Answers
What is the potential energy of a point particle of mass in region I?
What is the potential energy of a point particle of mass in region I?
What is the direction of the impulsive force at the boundary in region II?
What is the direction of the impulsive force at the boundary in region II?
What is the dimension of linear momentum in the given system of units?
What is the dimension of linear momentum in the given system of units?
What is the dimension of surface tension in the given system of units?
What is the dimension of surface tension in the given system of units?
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What is the location of the point charge in the given problem?
What is the location of the point charge in the given problem?
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What is the condition for the refractive indices of the prism when the ray emerges out at a grazing angle?
What is the condition for the refractive indices of the prism when the ray emerges out at a grazing angle?
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What is the direction of the electric field inside the hollow spherical conducting shell?
What is the direction of the electric field inside the hollow spherical conducting shell?
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What is the condition for the two masses to follow a closed orbit?
What is the condition for the two masses to follow a closed orbit?
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What is the shape of the mercury surface when the beaker is rotated?
What is the shape of the mercury surface when the beaker is rotated?
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What is the coordinate of the image formed by the mercury surface mirror?
What is the coordinate of the image formed by the mercury surface mirror?
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What is the force responsible for the formation of the parabolic surface of the mercury?
What is the force responsible for the formation of the parabolic surface of the mercury?
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What is the type of motion exhibited by the masses when they follow a closed orbit?
What is the type of motion exhibited by the masses when they follow a closed orbit?
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What is the type of force that causes the masses to follow a closed orbit?
What is the type of force that causes the masses to follow a closed orbit?
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What is the quantity that is conserved in the motion of the two masses?
What is the quantity that is conserved in the motion of the two masses?
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What is the marking scheme for a correct numerical value entered at the designated place?
What is the marking scheme for a correct numerical value entered at the designated place?
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What happens in all other cases according to the marking scheme?
What happens in all other cases according to the marking scheme?
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What is the shape of the arrangement described in the question stem for Question Nos. 7 and 8?
What is the shape of the arrangement described in the question stem for Question Nos. 7 and 8?
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What is the location of the top half of the arrangement in the question stem for Question Nos. 7 and 8?
What is the location of the top half of the arrangement in the question stem for Question Nos. 7 and 8?
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What is the situation that is being avoided in the question stem for Question Nos. 7 and 8?
What is the situation that is being avoided in the question stem for Question Nos. 7 and 8?
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What is the angle of the ramp in the question stem for Question Nos. 9 and 10?
What is the angle of the ramp in the question stem for Question Nos. 9 and 10?
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What is the height of the table in the question stem for Question Nos. 9 and 10?
What is the height of the table in the question stem for Question Nos. 9 and 10?
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What is the initial situation with the spring in the question stem for Question Nos. 9 and 10?
What is the initial situation with the spring in the question stem for Question Nos. 9 and 10?
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What is the ratio of the largest and smallest volumes in the process?
What is the ratio of the largest and smallest volumes in the process?
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What type of process does the cycle follow in the path 2?
What type of process does the cycle follow in the path 2?
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What is the value of γ, the adiabatic index of air?
What is the value of γ, the adiabatic index of air?
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What is the final velocity of the sphere when = 0 and =?
What is the final velocity of the sphere when = 0 and =?
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What is the number of moles of ideal gas undergoing the process?
What is the number of moles of ideal gas undergoing the process?
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What is the efficiency of the cycle?
What is the efficiency of the cycle?
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What are the temperatures at points 2 and 1 respectively?
What are the temperatures at points 2 and 1 respectively?
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What is the correct option for the cycle?
What is the correct option for the cycle?
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What is the marking scheme for each question?
What is the marking scheme for each question?
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What is the temperature coefficient of resistance of the nickel heating filament?
What is the temperature coefficient of resistance of the nickel heating filament?
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What is the initial temperature of the nickel heating filament?
What is the initial temperature of the nickel heating filament?
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What is the final temperature of the nickel heating filament?
What is the final temperature of the nickel heating filament?
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What is the surface area of the filament?
What is the surface area of the filament?
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What is the mass of the wedge in Q.16?
What is the mass of the wedge in Q.16?
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What is the angle of the wedge in Q.16?
What is the angle of the wedge in Q.16?
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What is the frequency of the tone played by the source in Q.17?
What is the frequency of the tone played by the source in Q.17?
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Study Notes
Physics Questions
- A point particle of mass is in region I with potential energy = 0 and in region II with potential energy .
Dimensions of Physical Quantities
- In a system of units, mass and torque are dimensionless, and length has a dimension of .
- Linear momentum has a dimension of .
- Angular momentum has a dimension of .
- Surface tension has a dimension of .
- Pressure has a dimension of .
Electric Charge and Conduction
- A positive point charge is located inside a neutral hollow spherical conducting shell with inner radius and outer radius .
- The shell is centered on the origin, and the point charge is located at the origin.
Thermodynamic Process
- One mole of an ideal gas undergoes a process with an adiabatic index .
- The process has a compression factor defined as the ratio of the largest and smallest volumes.
- The efficiency of the cycle is , and the temperatures at points 2 are respective.
Mechanics
- A small box of mass is kept on a frictionless ramp with a spring at a height from a horizontal table.
- The ramp is angled at to the horizontal, and the spring is pushed down by compared to its rest length.
- The box leaves the ramp at a speed and lands at a distance away from the table.
Gravitation
- Two masses are separated by a distance and move with initial velocities in opposite directions.
- The masses interact through universal gravitation, and the condition for them to start following a closed orbit is .
Reflection and Refraction
- A prism with refractive indices satisfies the condition for a ray to emerge at a grazing angle.
- The refractive indices satisfy one of the options:, , or .
Rotating Beaker of Mercury
- A beaker of radius is filled with mercury partly up to a height and is rotated about its axis with a constant angular velocity.
- The mercury surface attains a parabolic shape with a radius of curvature and acts as a mirror for a point object.
- The -coordinate of the image is one of the options:,, or.
Heating Filament
- A heater has a nickel heating filament with a temperature coefficient of resistance and a resistance at room temperature.
- The filament becomes red-hot at a temperature due to a current passing through it.
- The total surface area of the filament is .
Block and Wedge
- A wedge of mass is kept at rest on a horizontal surface, and a block of mass is kept on the wedge at a height from the surface.
- The angle of the wedge is , and there is no friction between the block and wedge or between the surface and the wedge.
- The system is released into a free motion, and the time taken by the block to reach the horizontal surface is .
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