Biology Questions Quiz
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Questions and Answers

What is the average speed of a ball thrown vertically upwards with an initial speed u and eventually hits the ground with speed v?

  • $\frac{v + u}{2}$
  • $\frac{u^2 + gh}{2(u + v)}$
  • $\frac{u^2 + v^2}{2(u + v)}$ (correct)
  • $\frac{gh}{2(u + v)}$

In the scenario where Cube A floats in water with a fraction η of its volume immersed, what is the ratio of densities ρB / ρA when Cube B is added?

  • $\frac{1 - \eta}{\eta}$ (correct)
  • $\eta$
  • $\frac{1}{\eta}$
  • $\frac{\eta}{1 - \eta}$

When an object is moved closer to a convex lens and the image shifts away by a distance 8d while maintaining double the size, what is the magnitude of the final magnification?

  • $8$
  • $\frac{1}{2}$
  • $4$ (correct)
  • $16$

Which function is differentiable at x = 0?

<p>sin |x| (A)</p> Signup and view all the answers

When the object is positioned in front of a convex lens and produces a real inverted image of double size, what happens if the object is brought closer?

<p>The image shifts further away by a distance of 8d. (C)</p> Signup and view all the answers

If a ball is thrown upwards with initial speed u and accelerates downwards at g, what is the crucial factor affecting its speed upon hitting the ground?

<p>The height from which it was thrown. (B)</p> Signup and view all the answers

What does the fraction η represent in the context of Cube A floating in water?

<p>The fraction of Cube A's volume that is submerged (B)</p> Signup and view all the answers

Regarding the behavior of sound frequency from a moving train, what is the primary factor affecting frequency detection?

<p>The speed of the train (C)</p> Signup and view all the answers

What is the ratio $\frac{v}{v_{sound}}$ when comparing the frequencies $\nu_2$ and $\nu_1$ as detected in a moving train?

<p>$\frac{\nu_2 - \nu_1}{\nu_1}$ (D)</p> Signup and view all the answers

When a cylindrical cable is cut into two equal halves, what is the relationship between the power dissipated in each half, $P_2$, and the original power, $P_1$, if the current and cross-sectional area remain unchanged?

<p>$P_2 = \frac{P_1}{2}$ (B)</p> Signup and view all the answers

In the interaction between particles A and B with charges Q and 2Q respectively, what is the correct relationship between the forces on each due to the other?

<p>$\vec{F}<em>{AB} = -\vec{F}</em>{BA}$ (A)</p> Signup and view all the answers

At what time is the induced emf in a coil at maximum if the magnetic flux is given by $\phi_B(t) = \phi_0 \cos(\omega t)$?

<p>$\frac{\pi}{2\omega}$ (B)</p> Signup and view all the answers

Upon doping a silicon-based intrinsic semiconductor with trivalent impurities, what can be said about the carrier concentrations?

<p>$n_e &gt; n_e^{(0)}$ (C)</p> Signup and view all the answers

If the frequency detected by a train moving towards a stationary source is $\nu_2$, how does it relate to the source frequency $\nu_1$?

<p>$\nu_2 &gt; \nu_1$ (B)</p> Signup and view all the answers

In the context of power dissipation in two halves of the cylindrical cable, what equation correctly describes the new power in each half compared to the original?

<p>$P_2 = \frac{P_1}{2}$ (D)</p> Signup and view all the answers

What is true regarding the magnetic forces between two charged particles, A and B, with different charges?

<p>The forces acting on each particle due to the other are equal and opposite. (A)</p> Signup and view all the answers

In a population of 10,000 individuals where four have sickle cell anemia, how many individuals are expected to be homozygous recessive for the disease allele?

<p>4 (C)</p> Signup and view all the answers

Which of the following patterns of inheritance is likely for the genetic disorder indicated in the pedigree chart, given that only two individuals are affected?

<p>Autosomal recessive (B)</p> Signup and view all the answers

Which plasmid digestion combination would allow for the confirmation of an insert located between Hind III and EcoR I sites?

<p>Not I and EcoR I (C)</p> Signup and view all the answers

How many radial nodes does the Ca+ ion have in its 4s orbital?

<p>0 (D)</p> Signup and view all the answers

Which of the following molecules will exhibit paramagnetic properties when placed in a magnetic field?

<p>B2 and O2 (A)</p> Signup and view all the answers

Given the Hardy-Weinberg equilibrium, if the frequency of the recessive allele is represented by $q$, how can one derive the frequency of heterozygous individuals in the population?

<p>$2pq$ (D)</p> Signup and view all the answers

What is the expected genotype of individual II-3 in the pedigree if the only affected individuals are I-2 and III-2?

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

When analyzing the results of agarose gel electrophoresis, which factor is crucial for determining the integrity of the recombinant plasmid after digestion?

<p>Number of fragments (A)</p> Signup and view all the answers

What is the locus of the center of circles with a fixed radius that pass through the origin?

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

What is the total number of distinct intersection points between the parabola $y = x^2 + 4x ext{sin} α + 6$ and the lines $y^2 = 1$?

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

If a straight line makes angles α, β, and γ with the positive axes, what is the value of $\cos 2α + \cos 2β + \cos 2γ$?

<p>−1 (C)</p> Signup and view all the answers

What is the total number of distinct divisors of the number $29 × 3^{19}$?

<p>435 (C)</p> Signup and view all the answers

What is the standard deviation of the data set {x1, x2, ..., x10} if the mean remains unchanged after adding x10?

<p>$3\sqrt{σ}$ (B)</p> Signup and view all the answers

If you toss three biased coins, each showing head with probability $\frac{1}{3}$, what is the probability of getting at least two heads given the first coin shows tails?

<p>$\frac{4}{9}$ (D)</p> Signup and view all the answers

What geometric figure is formed by the loci of centers of circles with fixed radius passing through the origin?

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

What is the resultant of $\cos{α}, \cos{β}, \cos{γ}$ if the line passes through the origin creating specified angles?

<p>−1 (D)</p> Signup and view all the answers

Which formula correctly describes the speed v(x) of object C as a function of its distance x from the center of A?

<p>$v(x) = \sqrt{GM R} \cdot x^{\frac{1}{2}} (4R - x)^{\frac{1}{2}}$ (A)</p> Signup and view all the answers

If the nucleus in the Bohr model has a charge of +2e, what is the radius of the electron's orbit?

<p>$\frac{r}{2}$ (C)</p> Signup and view all the answers

How many significant figures does the measured quantity 0.00230 have?

<p>3 (D)</p> Signup and view all the answers

In a Carnot heat engine, how much heat is utilized to operate a reversible refrigerator that releases heat to the atmosphere?

<p>2000 kJ (A)</p> Signup and view all the answers

What is the expression for the work done by the Carnot engine in one cycle, given that 1000 kJ of heat is extracted from the heat reservoir?

<p>$1000 kJ \cdot \frac{300 K}{600 K}$ (A)</p> Signup and view all the answers

Which parameter is essential for determining the equilibrium radius in the Bohr model for a nucleus with charge +2e?

<p>The angular momentum of the orbit (A)</p> Signup and view all the answers

What factor affects the efficiency of a Carnot heat engine operating between two reservoirs?

<p>The temperature difference of the reservoirs (D)</p> Signup and view all the answers

How does the speed of object C relate to the gravitational constant G and the distance x?

<p>Speed is proportional to the square root of G multiplied by x. (C)</p> Signup and view all the answers

Which statement accurately describes biological nitrogen fixation in plants?

<p>The transport of amides is mediated by phloem. (A), The catalytic redox center of Nitrogenase contains Mo and Fe as cofactors. (D)</p> Signup and view all the answers

Which of the following is a valid example of genetic diversity?

<p>Higher amphibian diversity in the Western Ghats compared to the Eastern Ghats. (B)</p> Signup and view all the answers

During translation, which factor binds to a stop codon in mRNA?

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

Which combination correctly matches the terms in column I with their physiological roles in column II?

<p>P - (iv); Q - (v); R - (i); S - (ii) (C)</p> Signup and view all the answers

For which disease is splicing of hnRNA required to generate mature mRNA?

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

Which of the following options corresponds to the best pair of competitive inhibitors for an enzyme?

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

What best describes the role of phloem in plants?

<p>Distributing photosynthates throughout the plant (B)</p> Signup and view all the answers

Which concept reflects the essence of ecosystem diversity between India and Scandinavia?

<p>Variability in species richness (A)</p> Signup and view all the answers

Flashcards

Doppler Effect in Trains

Changes in detected frequency (ν2) of a whistle emitted by a train moving towards a stationary observer due to the relative motion of the emitting source.

Power Dissipation in Cylindrical Cable

Power dissipated (P1) in a cable is related to the initial length and cross-sectional area and the current (I). Cutting the cable in half (with no change in area or current), results in a different power dissipation (P2) in each half.

Force between Charged Particles

The force between two charged particles (A and B) is equal in magnitude and opposite in direction (Newton's Third Law).

Maximum Induced EMF

The maximum induced electromotive force (emf) is reached in a coil with changing magnetic flux. It happens when the rate of change is the largest.

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Intrinsic Semiconductor Doping

Doping a semiconductor with impurities alters the electron (ne) and hole (nh) concentrations. Doping with trivalent impurities changes these concentrations relative to the intrinsic concentrations.

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Ratio of Speeds (Doppler)

The ratio of the speed of the moving train "v" to the speed of sound in air "vsound" when the Doppler effect is taken into account

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Power Dissipation Halved Cable

If a cable with original power dissipation P1 is cut into two equal halves the power dissipation in each half P2 becomes 1/4 of P1.

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Force Equal and Opposite

The forces on two charged particles due to each other are equal in magnitude and opposite in direction.

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Speed of C as a function of distance

The speed of object C changes depending on its distance from the center of object A. The provided equations (a, b, c, d) are possible mathematical models for that relationship.

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Bohr Model - charge effect

If the nucleus' charge doubles, the electron's orbit radius changes. The radius is half the previous value if the principal quantum number stays the same.

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Significant Figures - Example

0.00230 has 3 significant figures. Significant figures indicate the precision in a measurement.

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Carnot Engine & Refrigerator

A combined Carnot engine and refrigerator system, operating between specific temperatures and extracting/releasing heat; the total heat released into the atmosphere in one cycle is 2000 kJ.

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Significant Figures

Significant figures indicate the degree of accuracy in a measurement.

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Principal Quantum Number

It represents an energy level in the atomic model. Its value is maintained across different scenarios (within the context of the provided model).

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Orbital Angular Momentum

A fundamental characteristic of an electron's motion around an atom's nucleus.

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Heat Engine - Carnot Efficiency

A Carnot engine's efficiency is determined by the temperatures of its heat reservoirs, with maximum efficiency at higher temperatures (for a given temperature difference).

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Reversible Refrigerator

A machine extracting heat from lower temperature source and expelling into higher temperature atmosphere.

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Increasing/Decreasing Function

A function is increasing if its value increases as the input increases, and decreasing if its value decreases as the input increases.

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Differentiable at a Point

A function is differentiable at a point if its derivative exists at that point. This means the function has a smooth, continuous slope at that point.

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Average Speed

The total distance traveled divided by the total time taken.

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Density and Buoyancy

The ratio of an object's density to the density of the fluid it's in determines whether it floats or sinks. A floating object displaces a volume of fluid equal to its own weight.

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Magnification of a Lens

The ratio of the image size to the object size. A positive magnification means an upright image, while a negative magnification means an inverted image.

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Doppler Effect

The apparent change in frequency of a wave (e.g., sound) when the source of the wave and the observer are moving relative to each other.

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Convex Lens

A converging lens that can form both real and virtual images depending on the object's position.

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Real vs Virtual Image

A real image can be projected onto a screen, while a virtual image cannot. Real images are formed by the actual intersection of light rays, while virtual images are formed by the apparent intersection of the extensions of light rays.

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Hardy-Weinberg Equilibrium

A state where allele and genotype frequencies in a population remain constant over generations, assuming no evolutionary influences.

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Recessive Autosomal Disease

A genetic disorder caused by a recessive allele located on an autosome (non-sex chromosome), where two copies of the recessive allele are needed for the disease to manifest.

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Heterozygous

Having two different alleles for a particular gene.

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DNA Fragment Cloning

The process of inserting a specific DNA fragment into a vector (e.g., plasmid) for replication and amplification.

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Restriction Enzymes

Enzymes that recognize specific DNA sequences and cut them at those sites, allowing for manipulation and cloning of DNA fragments.

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Agarose Gel Electrophoresis

A technique used to separate DNA fragments based on size by applying an electric field to a gel matrix.

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Autosomal Dominant Inheritance

A pattern of inheritance where a single copy of a dominant allele is sufficient for the trait to be expressed.

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X-Linked Recessive Inheritance

A pattern of inheritance where a recessive allele located on the X chromosome is expressed in males who inherit it, but females need two copies for expression.

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Nitrogen Fixation

The process where atmospheric nitrogen gas (N2) is converted into a usable form by certain bacteria, primarily in the roots of legumes. This conversion involves the enzyme nitrogenase, which uses energy from ATP to break the strong triple bond in N2 and form ammonia (NH3).

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Nitrogenase Function

Nitrogenase, the enzyme responsible for nitrogen fixation, requires a specific environment to function optimally. It is highly sensitive to oxygen, which can actually inhibit its activity. Therefore, nitrogen fixation typically occurs in anaerobic conditions, often within specialized structures called nodules on legume roots.

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Amide Transport

Plants produce amides, like asparagine and glutamine, as a result of nitrogen fixation and metabolism. These amides are transported through the phloem throughout the plant body, providing nitrogen to various tissues and organs for growth and development.

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Genetic Diversity

Genetic diversity refers to the variety of genes within a species or population. This variation in genes can lead to differences in traits and characteristics, making a species more resilient to environmental changes and diseases.

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Genetic Diversity: Rauwolfia vomitoria

An example of genetic diversity is the variation in the potency and concentration of reserpine, a medicinal compound produced by the plant Rauwolfia vomitoria. This variation is due to differences in the genes responsible for producing reserpine.

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Stop Codon Recognition

During translation, when the ribosome encounters a stop codon in the mRNA, it signals the termination of protein synthesis. A special protein called a release factor binds to the stop codon, causing the ribosome to detach from the mRNA and release the newly synthesized polypeptide chain.

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hnRNA Splicing

Before a messenger RNA (mRNA) molecule can be translated into a protein, it needs to undergo splicing. This process involves removing non-coding regions (introns) from the pre-mRNA (hnRNA) and joining the coding regions (exons) together. This splicing is essential for generating a functional mRNA that can be read by the ribosome.

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Competitive Inhibitors

Competitive inhibitors are molecules that bind to the active site of an enzyme, blocking the substrate from binding. They compete with the substrate for the same binding site, slowing down the enzyme's catalytic activity.

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Locus of Circle Centers

The set of all possible points where the centers of circles can be located if they pass through the origin with a fixed radius.

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Parabola Intersection

The number of times a parabola intersects a pair of lines determined by the equation y² = 1. The answer depends on the value of α in the parabola's equation, which affects the parabola's position and orientation.

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Direction Cosines

The cosines of the angles that a line makes with the positive x, y, and z axes. They represent the direction of the line in 3D space.

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Counting Divisors

Finding the total number of whole numbers that divide evenly into a given number. This relies on factoring the number into its prime factors.

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Standard Deviation after Adding Data

The standard deviation of a data set after incorporating an additional data point that keeps the mean unchanged. The new standard deviation is affected by the original standard deviation and the number of data points.

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Conditional Probability

The probability of an event happening given that another event has already occurred. It's calculated by dividing the probability of both events occurring by the probability of the second event occurring.

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Mean Remains Constant

Adding a data point to a set can maintain the original mean. This means the new data point must balance the existing data.

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Data Spread and Standard Deviation

The standard deviation measures how much data points deviate from the mean. Adding data points can influence this deviation.

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Study Notes

Biology Questions

  • Question 1: Match the epithelium types (squamous, cuboidal, columnar, ciliated) with their functions (diffusion barrier, secretion/absorption, movement of particles/mucous).
  • Question 2: Define peptones. Peptones are partially digested proteins.
  • Question 3: Match biomolecules (insulin, inulin, lectin, lecithin) with their chemical nature (secondary metabolite, homopolymer, quaternary ammonium derivative, heteropolymer).
  • Question 4: Which stage of mitosis is first affected by microtubule inhibitors? Prophase.
  • Question 5: Identify the incorrect statement about seed structure. In monocots, the seed coat is called the aleurone layer.
  • Question 6: Which wood characteristic helps estimate tree age in temperate climates? Spring wood and late wood.
  • Question 7: Which statement is correct about biological nitrogen fixation in plants? The transport of amides like asparagine and glutamine to different parts of the plant is mediated by phloem.
  • Question 8: Which is an example of genetic diversity? Variation in the potency and concentration of reserpine produced by Rauwolfia vomitoria.
  • Question 9: Which factor binds to a stop codon during translation? Release factor.
  • Question 10: Match the terms in column I with their roles in column II. Correct pairings needed.
  • Question 11: For which disease does the causative agent require hnRNA splicing? Pertussis.

Chemistry Questions

  • Question 1: How many radial nodes does Ca⁺ have in its 4s orbital? 0
  • Question 2: Which molecules are attracted to an external magnetic field? O2 and B2.
  • Question 3: What is the smallest P-P-P bond angle in highly reactive phosphorus? 60°
  • Question 4: Which is an iron ore? Siderite.
  • Question 5: Which parameters are plotted in the Ellingham diagram? ΔG° vs T
  • Question 6: Which compounds will NOT undergo Finkelstein reaction with NaI via SN2 pathway? Specify the compounds.
  • Question 7: Which method is most efficient for synthesizing n-propylbenzene? Provide the reaction steps.
  • Question 8: Which are chiral compounds? List the compounds.
  • Question 9: Which base is not found in RNA? Specify the base.
  • Question 10: Which are aromatic compounds? List the compounds.
  • Question 11: Why is it harder to compress liquids and solids relative to gases? Molecules in solids and liquids are closer together.
  • Question 12: Identify the incorrect statement about the Freundlich adsorption isotherm.
  • Question 13: Which statement is false about the reaction CH4(g) → C(g) + 4H(g); ΔH = −1665 kJ mol-1 ? Provide the correct statement.
  • Question 14: What types of deviations are observed for X (hexane and benzene) and Y (water and HCl)? Provide details.
  • Question 15: In aqueous solution, to what species does the hydronium ion get further hydrated?

Mathematics Questions

  • Question 1: What interval does ∫10f(x)dx lie in given f(x) is a continuous decreasing function?
  • Question 2: What's the value of the determinant of matrix M given certain conditions? 0
  • Question 3: What is the locus of the center of circles? Circle
  • Question 4: How many intersection points are between the parabola and lines?
  • Question 5: What is the value of cos 2a + cos 2β + cos 2γ for a straight line passing through the origin? -1
  • Question 6: What is the total number of distinct divisors of 29 x 3^19? 200
  • Question 7: What is the standard deviation for the given data?
  • Question 8: Evaluate the conditional probability, given certain conditions.
  • Question 9: Identify the differential equation with a specific particular solution. Provide the equation.
  • Question 10: Find the area of the given region.
  • Question 11: What's the minimum value of Z given the constraints?
  • Question 12: What's the product of the roots of p(x) = 0? 1
  • Question 13: In which interval does f(1) lie given f'(x) and f(0)?
  • Question 14: Determine if f(x) = sin(3x) is increasing or decreasing over given intervals. Provide intervals.
  • Question 15: Which of the functions is differentiable at x = 0?

Physics Questions

  • Question 1: What is the average speed of a vertically thrown ball? Answer in terms of initial and final speeds and acceleration.
  • Question 2: Find the ratio ρB/ρA for given cubes, A and B, floating in water.
  • Question 3: What is the magnification for an image in front of a convex lens with a specific condition?
  • Question 4: What's the ratio v/Vs for a moving observer and a stationary source? Give the formula.
  • Question 5: If a cable is cut into two halves, what is the power dissipated in each half?
  • Question 6: How does the force FAB relate to FBA for the given point charges?
  • Question 7: At what time is the magnitude of induced EMF a maximum?
  • Question 8: Identify the correct statement on ne and nh for intrinsic and doped semiconductors.
  • Question 9: Calculate the total displacement for a particle with given velocity as a function of time.
  • Question 10: How is the time period of oscillation related to constants? Express in terms of dimensional variables.
  • Question 11: What is the effective resistance between A and B in the provided circuit?
  • Question 12: Express the speed v(x) of an object thrown in terms of gravitational constant and distances, from a function.
  • Question 13: What would the radius of the orbit for the electron have been if the nucleus charge was 2e?
  • Question 14: How many significant figures are in the given measurement value (example: 0.00230)?
  • Question 15: Calculate the heat released into the atmosphere for the given Carnot heat engine and refrigerator system.

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