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Questions and Answers
What is the limit as θ approaches 0 for the expression $\lim_{\theta \to 0} \frac{\sin \theta}{\theta}$?
What is the limit as θ approaches 0 for the expression $\lim_{\theta \to 0} \frac{\sin \theta}{\theta}$?
If $x = a \cos \theta$ and $y = a \sin \theta$, what is $\frac{dy}{dz}$?
If $x = a \cos \theta$ and $y = a \sin \theta$, what is $\frac{dy}{dz}$?
What is $\frac{dy}{dx}$ if $y = a^2 + x^2$?
What is $\frac{dy}{dx}$ if $y = a^2 + x^2$?
What is the probability of getting a number greater than 4 when rolling a die?
What is the probability of getting a number greater than 4 when rolling a die?
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What does the integral $\int k, f(x) dx$ equal if k is a constant?
What does the integral $\int k, f(x) dx$ equal if k is a constant?
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If $\frac{dy}{dx} = 2x$, what form does the resulting equation take?
If $\frac{dy}{dx} = 2x$, what form does the resulting equation take?
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The roots of the equation ax^2 + 2hxy + by^2 = 0 are real and coincident if:
The roots of the equation ax^2 + 2hxy + by^2 = 0 are real and coincident if:
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Which substance is known as the universal solvent?
Which substance is known as the universal solvent?
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What geometric figure is formed if the eccentricity $e > 1$?
What geometric figure is formed if the eccentricity $e > 1$?
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What is the equation of the rectum for the parabola represented by $y^2 = 3x$?
What is the equation of the rectum for the parabola represented by $y^2 = 3x$?
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Why is diamond considered a non-conductor of electricity?
Why is diamond considered a non-conductor of electricity?
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Which of the following statements is true?
Which of the following statements is true?
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Which of the following is not considered an alkali metal?
Which of the following is not considered an alkali metal?
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In primary alkyl halides, hydrogen is bonded to that carbon which is attached to how many carbon atoms?
In primary alkyl halides, hydrogen is bonded to that carbon which is attached to how many carbon atoms?
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Which of the following compounds has a net dipole moment?
Which of the following compounds has a net dipole moment?
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What is the work done by a 2 kg body moving vertically 2 m?
What is the work done by a 2 kg body moving vertically 2 m?
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If the radius of a circle is doubled, what happens to the centripetal force?
If the radius of a circle is doubled, what happens to the centripetal force?
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The Bernoulli equation is associated with which law?
The Bernoulli equation is associated with which law?
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What is the time period of a second pendulum from its extreme to its mean position?
What is the time period of a second pendulum from its extreme to its mean position?
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At what temperature will the velocity of sound be doubled compared to its speed at 100°C?
At what temperature will the velocity of sound be doubled compared to its speed at 100°C?
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What is the range of the visible wavelength spectrum?
What is the range of the visible wavelength spectrum?
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If the distance between two charges is doubled, how does Coulomb's force change?
If the distance between two charges is doubled, how does Coulomb's force change?
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When two resistances of 6Ω each are in parallel and a third of 3Ω is connected in series, what is the total resistance?
When two resistances of 6Ω each are in parallel and a third of 3Ω is connected in series, what is the total resistance?
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What is the correct formula for the force experienced by a conductor in a magnetic field?
What is the correct formula for the force experienced by a conductor in a magnetic field?
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What is the unit of longitudinal strain?
What is the unit of longitudinal strain?
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Which band is referred to as a completely filled band in semiconductor physics?
Which band is referred to as a completely filled band in semiconductor physics?
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Which device is primarily used for detection of light?
Which device is primarily used for detection of light?
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What is the neutron to nucleon ratio in Uranium-235?
What is the neutron to nucleon ratio in Uranium-235?
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If the intensity and frequency of light are both doubled, what happens to the emission of electrons?
If the intensity and frequency of light are both doubled, what happens to the emission of electrons?
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What is the peak value of a current if the effective value is 10?
What is the peak value of a current if the effective value is 10?
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In the equation v = wr, what does w represent?
In the equation v = wr, what does w represent?
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How long does it take for a ball to reach its maximum height if it reaches the height in 3 seconds?
How long does it take for a ball to reach its maximum height if it reaches the height in 3 seconds?
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What is the correct value of 1 Cal in joules?
What is the correct value of 1 Cal in joules?
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According to Newton's laws, rocket propulsion is based on which law?
According to Newton's laws, rocket propulsion is based on which law?
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What is the reverse process of vector addition?
What is the reverse process of vector addition?
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What is the equivalent of one light year in meters?
What is the equivalent of one light year in meters?
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If the color of the question paper is blue, which circle should the candidate fill?
If the color of the question paper is blue, which circle should the candidate fill?
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What is the initial velocity of a ball that reaches its maximum height in 3 seconds?
What is the initial velocity of a ball that reaches its maximum height in 3 seconds?
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Which of the following values is incorrect regarding the scientific constants mentioned?
Which of the following values is incorrect regarding the scientific constants mentioned?
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Which of the following substances has the highest molecular weight?
Which of the following substances has the highest molecular weight?
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At what condition is the maximum value of O2 observed?
At what condition is the maximum value of O2 observed?
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Which gas has the fastest rate of diffusion based on molecular weight?
Which gas has the fastest rate of diffusion based on molecular weight?
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Identify the incorrect sentence regarding the use of 'rather':
Identify the incorrect sentence regarding the use of 'rather':
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Which sentence properly uses the preposition 'in'?
Which sentence properly uses the preposition 'in'?
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Which phrase correctly describes the impact on the economy?
Which phrase correctly describes the impact on the economy?
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Which option uses 'save' in a grammatically correct way?
Which option uses 'save' in a grammatically correct way?
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Which sentence correctly describes the action of trying to pacify someone?
Which sentence correctly describes the action of trying to pacify someone?
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Study Notes
Physics
- One light year equals 9.5 x 1013 meters
- Reverse process of vector addition is subtraction
- Initial velocity of a ball reaching its maximum height in 3 seconds is 29.4 m/s
- Rocket propulsion follows Newton's third law of motion
- 1 Calorie equals 418 joules
- Work done by a 2kg body moving vertically 2m is 40 J
- Doubling the radius of a circle doubles the centripetal force
- Bernoulli's equation is based on Newton's laws
- Time period of a second pendulum from extreme to mean position is T/4
- Velocity of sound doubles at 760°C compared to 10°C
- Visible wavelength spectrum ranges from 400 to 750 nm
- Wave number of light at 5 x 10-7 m-1 is 2 x 107 m
- Least distance of distinct vision for a human eye is 25 cm
Mathematics
- Sets that do not have closure property, example: [0,1]
- Non-negative rational numbers are grouped under addition and multiplication
- A set with no elements is called an empty set
- A matrix with all zero entries is called a null matrix
- If the degree of polynomial in the numerator is less than the degree in the denominator, the fraction is proper
- (n+1)th term in a geometric progression is arn
- Binomial theorem sums up series
- sin(180+θ) equals -sin θ
- (cos11° + sin11°)/(cos11° - sin11°) = tan 56°
- Solution to 1 + cos x = 0 is π + 2kπ, where k ∈ Z
- Integral of cos x dx is x sin x - cos x + c
- Limit of sin θ/θ as θ approaches 0 is 1
- If x = a cos θ and y = a sin θ, then x2 + y2 = a2
- If y = √(a2 + x2), then dy/dx = x/√(a2 + x2)
- If eccentricity e > 1, then the figure is a hyperbola
Chemistry
- Heavy water molarity equals 55.5 mol/dm3
- Diamond is a non-conductor due to the absence of free electrons
- Nat is smaller than Na
- Ra is not an alkali
- Rate of solute movement in paper chromatography depends on Rf value
- Primary alkyl halides have a hydrogen bonded to a carbon attached to other carbons
- Methylene chloride formula is CH2Cl2
- Order of diffusion rate: SO2 > CO2 > Br2 > NH3
- Oxidation of NO in air produces N2O
- Chlorine (Cl2) is used for water disinfection
- Planar shape is formed by sp2 hybridization
- Heat absorption without phase change happens at melting and boiling points
- Aluminium (Al) has a +3 charge
- pH of 10-3 moles of HNO3 is 3
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Description
Test your knowledge on various concepts in Physics and Mathematics in this comprehensive quiz. Covering topics like light years, vector addition, rocket propulsion, as well as sets and number properties, this quiz challenges both physics enthusiasts and math lovers.
