Medical Entrance Exam Prep
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Questions and Answers

Why is familiarity with past exam questions considered beneficial for test preparation?

  • It dramatically improves test performance by increasing comfort and strategic preparation. (correct)
  • It enables students to predict the exact questions that will appear on future exams.
  • It reduces test anxiety by eliminating any surprises on the test day.
  • It allows students to memorize questions and answers, guaranteeing success.

How does the topical segregation of previous years' questions aid in exam preparation?

  • It allows students to avoid studying challenging topics by focusing only on frequently asked questions.
  • It provides a shortcut to solving complex problems without understanding the underlying concepts.
  • It helps students understand the exam pattern and the weightage of different chapters. (correct)
  • It guarantees that students will encounter similar questions in the upcoming examination.

What is the primary purpose of including previous years’ medical entrance questions with solutions in a study guide?

  • To minimize the amount of original problem-solving required by students.
  • To discourage students from attempting challenging problems on their own.
  • To provide students with ready-made answers to memorize for the exams.
  • To offer insights into the nature and pattern of questions asked in NEET and other medical entrances. (correct)

What is a key feature of the included solved papers?

<p>Comprehensive explanations are provided for questions from 2005 to 2019, covering both national and regional medical entrance exams. (C)</p> Signup and view all the answers

What should students do to strategically plan their preparation for an exam?

<p>Refer to chapterwise and topical segregation of previous years' questions. (B)</p> Signup and view all the answers

In the context of exam preparation, what does 'topical segregation' refer to?

<p>The categorization of questions by subject area within each chapter. (B)</p> Signup and view all the answers

Why is it important to understand the nature and pattern of questions asked of medical entrances?

<p>Students can familiarize themselves with the question types. (A)</p> Signup and view all the answers

What is the time period of medical entrance questions with explanations covered?

<p>2005 to 2019 (D)</p> Signup and view all the answers

If force (F), velocity (v), and time (T) are taken as fundamental units, what are the dimensions of mass?

<p>$[F^1 v^{-1} T]$ (A)</p> Signup and view all the answers

What are the dimensions of energy when expressed in terms of linear momentum [p], area [A], and time [T]?

<p>$[p^1 A^{1/2} T^{-1}]$ (D)</p> Signup and view all the answers

Given the relation between force $F$ and density $d$ as $F = \frac{x}{d}$, and knowing the dimensions of force, what are the dimensions of $x$?

<p>$[M^2 L^{-1} T^{-2}]$ (C)</p> Signup and view all the answers

In the formula $X = 3YZ^2$, if X has the dimensions of capacitance and Z has the dimensions of magnetic induction, what are the dimensions of Y?

<p>$[M^{-3} L^{-4} T^{4} A^{4}]$ (D)</p> Signup and view all the answers

What are the dimensions of $\frac{nh}{q}$, where $n$ is a positive integer, $h$ is Planck’s constant, and $q$ is capacitance?

<p>$[M^1 L^2 T^{-1} Q^{-2}]$ (B)</p> Signup and view all the answers

Given $F = at + bt^2$, where $F$ represents force and $t$ represents time, what are the dimensions of $b$?

<p>$[MLT^{-4}]$ (D)</p> Signup and view all the answers

If pressure $P = \frac{b - x^2}{at}$, where $x$ is distance and $t$ is time, what are the dimensions of $\frac{b}{a}$?

<p>$[M^1 L^1 T^{-2}]$ (A)</p> Signup and view all the answers

What is the dimensional formula for Reynold’s number?

<p>$[M^0 L^0 T^0]$ (D)</p> Signup and view all the answers

A student measures the length of a table using two different units: meters and centimeters. If the numerical value of the length is $n_1$ when measured in meters and $n_2$ when measured in centimeters, what is the relationship between $n_1$ and $n_2$?

<p>$n_2 = 100n_1$ (B)</p> Signup and view all the answers

If the unit of length is doubled and the unit of mass is halved, by what factor does the unit of density change?

<p>Decreased by a factor of 8 (D)</p> Signup and view all the answers

Which of the following best describes the relationship between the numerical value (n) and the size of the unit (u) when measuring a physical quantity?

<p>nu = constant (B)</p> Signup and view all the answers

A student is asked to measure the area of a rectangular room. She uses a measuring tape and finds the length to be 10.2 meters and the width to be 5.45 meters. If she reports the area as 55.6 square meters, which rule regarding significant figures is she most likely following?

<p>The result should have the same number of significant figures as the least precise measurement. (A)</p> Signup and view all the answers

A new unit of force is defined where 1 'ForceUnit' is the force required to accelerate a 2 kg mass at 2 m/s². In terms of fundamental SI units, what is 1 ForceUnit equivalent to?

<p>4 kg⋅m/s² (C)</p> Signup and view all the answers

Two students measure the same length using different instruments. Student A's measurement is 2.5 cm with an uncertainty of ±0.2 cm, while Student B's measurement is 2.50 cm with an uncertainty of ±0.02 cm. What can be inferred from these measurements?

<p>Student B's measurement is more precise. (D)</p> Signup and view all the answers

A hypothetical physical quantity, 'Z', is defined by the equation $Z = \frac{XY^2}{W}$, where X is measured in meters (m), Y in kilograms (kg), and W in seconds (s). What is the SI unit for Z?

<p>m⋅kg²/s (C)</p> Signup and view all the answers

Which of the following statements accurately describes the relationship between fundamental and derived units?

<p>Derived units are combinations of fundamental units, expressing quantities derived from fundamental ones. (C)</p> Signup and view all the answers

A student is measuring the area of a rectangular garden. Which units would be most appropriate to express this measurement within the SI system?

<p>Square meters (m²) (B)</p> Signup and view all the answers

A light source emits a monochromatic radiation with a frequency of $540 \times 10^{12}$ Hz and a radiant intensity of 1/683 watt/steradian. According to the SI system, what unit is used to measure the luminous intensity of this source?

<p>Candela (C)</p> Signup and view all the answers

In the context of unit systems, what distinguishes the International System of Units (SI) from the MKS system?

<p>The SI system is a more comprehensive and rationalized version of the MKS system, incorporating additional units and refinements. (B)</p> Signup and view all the answers

How does the definition of the candela relate to other physical quantities?

<p>It connects luminous intensity to specific values of frequency and radiant intensity. (C)</p> Signup and view all the answers

A physicist needs to perform calculations using the CGS system but has measurements in MKS units. What conversions are necessary?

<p>Meters to centimeters, kilograms to grams, and seconds remain unchanged. (D)</p> Signup and view all the answers

Which scenario requires the use of derived units rather than fundamental units?

<p>Calculating the force exerted on an object using its mass and acceleration. (A)</p> Signup and view all the answers

Why is it important to have a standardized system of units, such as the SI?

<p>To ensure uniformity and consistency in measurements across different locations and applications. (C)</p> Signup and view all the answers

In the equation a3 = 6a2, if a represents a physical quantity, and it's stated that a = 6m, where m is mass, what is the dimension of a?

<p>$[M]$ (Mass) (C)</p> Signup and view all the answers

A student measures the side of a cube to be 7.203 cm using a certain instrument. Based on this measurement, what is the best estimate of the cube's surface area, considering significant figures?

<p>311 cm² (C)</p> Signup and view all the answers

If the unit of a quantity λ is the same as that of x, and the unit of y is the same as that of A (where A also has the same unit as x), which of the following statements is correct?

<p><code>λ</code>, <code>x</code>, and <code>A</code> have the same units, and <code>y</code> also shares this unit. (D)</p> Signup and view all the answers

According to Stefan's law, the power radiated by a black body is given by $P = \sigma AT^4$. What are the SI units of the Stefan-Boltzmann constant, $\sigma$?

<p>$W m^{-2} K^{-4}$ (D)</p> Signup and view all the answers

A screw gauge has a least count of 0.001 cm. During a measurement, the main scale reading is 0.5 cm, and the circular scale reading is 25 divisions. If the screw gauge has a zero error of -0.004 cm, what is the corrected reading?

<p>0.529 cm (C)</p> Signup and view all the answers

In an experiment to determine a physical quantity, the percentage errors in measurements a, b, c, and d are 1%, 2%, 3%, and 4%, respectively. If the quantity is calculated using the formula $Q = \frac{a^3b^2}{cd}$, what is the total percentage error in Q?

<p>14% (B)</p> Signup and view all the answers

The density of a cube is determined to be 0.625 g/cm³ in CGS units. What is the density of the same cube in SI units (kg/m³)?

<p>625 kg/m³ (C)</p> Signup and view all the answers

If the error in the radius of a sphere is 0.3%, what is the approximate error in the calculated volume of the sphere?

<p>0.9% (C)</p> Signup and view all the answers

Match the following physical quantities with their respective units: A. Magnetic Field Intensity B. Magnetic Flux C. Magnetic Potential D. Magnetic Induction

P. $Wb m^{-1}$ Q. $Wb m^{-2}$ R. Wb S. $A m^{-1}$

<p>A → S, B → R, C → P, D → Q (C)</p> Signup and view all the answers

A student performs an experiment and obtains the following five observations: 80.0, 80.5, 81.0, 81.5, and 82.0. Calculate the approximate mean percentage error in these observations, assuming the true value is best represented by the mean of the observations.

<p>0.62% (B)</p> Signup and view all the answers

Quantities A and B are measured as $A = 1.0 \pm 0.2$ m and $B = 2.0 \pm 0.2$ m. Calculate $Y = \sqrt{AB}$ and round it off using significant figures and determine the error $ \Delta Y $.

<p>$Y=1.4 \pm 0.3 m$ (D)</p> Signup and view all the answers

Which of the following is NOT considered a fundamental physical quantity in the International System of Units (SI)?

<p>Area (A)</p> Signup and view all the answers

In a measurement using a screw gauge, the main scale reading is 2 mm and the circular scale division that coincides with the main scale is 30. If the least count of the screw gauge is 0.01 mm, what is the measured value?

<p>2.30 mm (A)</p> Signup and view all the answers

A student measures the side of a cube to be 6 m. If the measurement has an associated uncertainty, how does the uncertainty in the volume propagate from the side measurement?

<p>The percentage uncertainty in volume is three times the percentage uncertainty in the side length. (B)</p> Signup and view all the answers

When measuring the length of a rod with a Vernier caliper, the main scale reading is 3.5 cm and the Vernier coincidence is 6. If the least count of the Vernier caliper is 0.01 cm, what is the length of the rod?

<p>3.56 cm (D)</p> Signup and view all the answers

A student performs an experiment to determine the density ($\rho$) of a cube by measuring its mass (M) and side length (L). The measured values are $M = 500 \pm 0.5$ g and $L = 10 \pm 0.1$ cm. What is the approximate percentage error in the calculated density?

<p>1.3% (A)</p> Signup and view all the answers

Two resistors have resistances $R_1 = 100 \pm 2 \Omega$ and $R_2 = 200 \pm 4 \Omega$. If they are connected in series, what is the equivalent resistance and its associated error?

<p>$300 \pm 6 \Omega$ (C)</p> Signup and view all the answers

The initial and final temperatures of a liquid are recorded as $25.0 \pm 0.5 ^\circ C$ and $35.0 \pm 0.5 ^\circ C$, respectively. What is the rise in temperature with the correct error limits?

<p>$10.0 \pm 1.0 ^\circ C$ (C)</p> Signup and view all the answers

Flashcards

Importance of Past Papers

Understanding the exam pattern and important topics improves test performance.

Strategic Exam Prep

Strategic preparation involves allocating time based on the importance of chapters and topics.

Purpose of Solved Papers

Previous years' questions with solutions help understand the question patterns asked in medical entrance exams.

Coverage of the Book

The book contains questions with explanations from 2005 to 2019 for medical entrance exams in India.

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Benefit of Analyzing Solved Papers

Analyzing past papers helps to recognize frequently tested concepts.

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Reducing Exam Anxiety

Familiarizing yourself with the types of questions asked reduces anxiety during the test.

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Self-Assessment Tool

Solving past papers allows for self-assessment and identification of weak areas.

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List of Exams included

Medical entrance exams covered include NEET, AIIMS, JIPMER, AMU, BHU, BVP, Manipal, UPCPMT, EAMCET, KCET and WBJEE.

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Physical Quantities

Quantities used to describe the laws of physics.

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Unit of Measurement

A standard used for measuring a physical quantity.

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Magnitude

The 'how much' or size of a physical quantity.

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nu = constant

The product of numerical value and unit is constant for a physical quantity.

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Metre

Length of path light travels in vacuum in 1/299792458 of a second.

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Kilogram

The mass of a specific platinum-iridium cylinder in France.

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Second

Duration of 9192631770 periods of radiation from caesium-133.

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Fundamental Quantities

Seven quantities that form the base of the SI system.

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Mole

Contains as many elementary entities as there are atoms in 0.012 kg of carbon-12.

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Candela (cd)

Luminous intensity in a given direction of a source emitting monochromatic radiation of frequency 540 × 10^12 Hz with a radiant intensity of 1/683 watt/steradian.

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Derived Quantities

Quantities that can be expressed in terms of fundamental quantities.

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Derived Units

Units of derived quantities.

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CGS System

System using centimetre, gram, and second as base units.

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FPS System

System using foot, pound, and second as base units.

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MKS System

System using metre, kilogram, and second as base units.

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SI Units

A rationalized MKS system to obtain all the physical quantities.

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Percentage Error

The accuracy of a measurement, expressed as a percentage.

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Least Count (LC)

The smallest value that can be measured by an instrument.

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Zero Error

Error due to the instrument not being calibrated to zero.

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Main Scale Reading (MSR)

Reading from main scale before vernier scale in screw gauge.

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Vernier Scale Reading (VSR)

Reading from circular scale that coincides with main scale.

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Volume of a Cube

Volume = (side)³

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Volume of a Sphere

πr³

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Relationship between radius and diameter

Diameter is twice the radius. d=2r

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Error Propagation (Volume)

Error in radius affects error in volume.

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Product of Measurements

Y = AB, and relative errors are added.

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Equation (a^3 = 6a^2)

Describes the relationship where (a^3 = 6a^2)

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Refractive Index (( \frac{c}{v} ))

Ratio of the speed of light in a vacuum to the speed of light in a medium, is dimensionless.

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Power Radiated ((P))

In Stefan’s law, it's the energy radiated per second by a black body.

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Stefan's Law

States (P = \sigma A T^4), where (P) is power, (\sigma) is the Stefan-Boltzmann constant, (A) is area, and (T) is temperature.

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Stefan-Boltzmann Constant ((\sigma))

The constant of proportionality in Stefan's Law, linking radiated power to temperature and area.

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SI Unit of Density

Kilogram per cubic meter ((kg/m^3))

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Unit of Magnetic Field Intensity

Ampere per meter ((Am^{-1}))

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Mean Percentage Error

Ratio of the absolute mean error to the mean value, expressed as a percentage.

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Energy Dimensions (p, A, T)

Dimensions of energy expressed using momentum [p], area [A], and time [T].

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Force, Density, and Dimensions

The dimensional formula for force (F) relates to density (d) and an unknown quantity, x.

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Constant Dimensions with h, q, m, l

Relates to Planck's constant (h), charge (q), mass (m) and length (l).

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Energy Dimensions (F, v, T)

Dimensions of energy defined through Force (F), velocity (v) and time (T).

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Reynold's Number Dimensions

A dimensionless number indicating the ratio of inertial forces to viscous forces within a fluid.

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Dimensions of x in (F = \frac{x}{\sqrt{d}})

The dimensions of x in the equation (F = \frac{x}{\sqrt{d}}) where F is force and d is density.

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Dimensions of Y in (X = 3YZ^2)

Determine units for Y given (X = 3YZ^2), with X as capacitance and Z as magnetic induction.

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Dimensions of Mass

The dimensions of mass expressed in terms of fundamental units.

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Study Notes

  • The provided material is physics study notes, including solved problems from past NEET, AIIMS, JIPMER and other medical entrance exams from 2005-2019.
  • The notes are divided chapter-wise and topic-wise for focused preparation.

Physical Quantities

  • Physical quantities describe laws of physics (e.g., length, mass, volume).
  • Measuring a physical quantity requires a unit and a numerical value (magnitude).
  • The numerical value (n) is inversely proportional to the unit size (u), expressed as nu = constant.

Systems of Units

  • CGS System: Units of length, mass, and time are centimetre, gram, and second, respectively.
  • FPS System: Units of length, mass, and time are foot, pound, and second, respectively.
  • MKS System: Units of length, mass, and time are metre, kilogram, and second, respectively.
  • International System (SI): A rationalized MKS system for all physical quantities.
  • SI System: Base Quantities and Units
  • Length: Metre (m), defined by the distance light travels in a vacuum in 1/299792458 of a second.
  • Mass: Kilogram (kg), equal to the mass of the international prototype at Sèvres, France.
  • Time: Second (s), defined by 9192631770 periods of radiation corresponding to the transition between two energy levels of the caesium-133 atom.
  • Electric Current: Ampere (A)
  • Thermodynamic Temperature: Kelvin (K)
  • Amount of Substance: Mole (mol)
  • Luminous Intensity: Candela (cd), the luminous intensity of a source emitting monochromatic radiation at 540 × 1012 Hz with a radiant intensity of 1/683 watt/steradian.

Derived Quantities

  • Derived quantities are expressed using fundamental quantities (e.g., speed).
  • Derived units are units of derived quantities (e.g., m/s for speed).

Supplementary Quantities

  • Supplementary quantities exist in addition to fundamental and derived quantities.

Errors and Significant Figures

  • Screw Gauge: Least Count and Reading
  • Least Count (LC): The smallest measurement that can be accurately measured using the instrument.
  • Main Scale Reading (MSR): Reading on the main scale.
  • Vernier Scale Reading (VSR): Reading on the Vernier or circular scale.
  • Zero Error: Error when the instrument should read zero.
  • Final Reading: Calculated as MSR + (VSR × LC) - zero error.
  • Error Calculation Example:

Calculating the mean percentage error in five observations

  • To find the mean percentage error in multiple observations. Then use the formula below
  • (3 × 1%) + (2 × 2%) + (1 × 3%) + (1 × 4%) = 3 + 4 + 3 + 4 = 14%.

Error in Radius

  • Error in radius is given as ∆r/r = 0.3%
  • Volume of sphere is (4/3)Ï€r^3
  • Error in volume = 3 × (∆r/r)

Equations

  • Stefan’s Law: P = σAT^4, where σ is the Stefan-Boltzmann constant.
  • Formula: X = 3YZ^2, relating dimensions of capacitance and magnetic induction.
  • Density in CGS units: d = 0.625 g/cm−3
  • Density in SI units: d = 625 kg/m−3
  • Dimensionless quantities: Quantities without units

Solved Problems

  • Volume of a cube calculation, using the formula a = 6m
  • Calculating error propagation in formulas.
  • Error in Y = AB = (1.0)(2.0) = 1.414 m, Y = 1.4 m.

Dimensional Analysis

  • Determining dimensions of physical quantities in terms of mass [M], length [L], time [T], current [A], temperature [K], luminous intensity [cd] and amount of substance [mol].
  • Using dimensional formulas to find relationships between physical quantities.

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Prepare strategically for medical entrance exams by understanding past questions. Topical segregation helps in focused study. Solved papers with explanations are crucial for grasping question patterns and planning preparation. This helps understand the nature of questions.

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