Basics of Science and Engineering (BE-01)

Basics of Science and Engineering (BE-01)

• A vector quantity is Force.
• Given an absolute error of 0.02 cm and measured value of 2.5 cm, the relative error is 0.008
• With a Vernier calliper having a least count of 0.01 cm, the precision of the measurement is 0.01 mm.
• With a screw gauge of 0.5 mm pitch and 100 circular scale divisions, the least count is 0.005 mm.
• Measured value is 30 cm, with an absolute error of 0.2 cm, the range of possible values is 29.8 cm to 30.2 cm.
• Precision is 0.01 m, the measurement is 5.00 m has 3 significant figures.
• Centrifugal force acts outward on an object moving in a circular path from the center.
• The equation for kinetic energy (KE) is KE = (1/2)mv².
• Kinetic energy is the energy an object has due to its motion.
• Centripetal force keeps an object moving in a circular path.
• A force of 10 N applied for 5 seconds results in an impulse of 50 Ns.
• Linear momentum is defined as Mass × Velocity.
• Two capacitors in series, C1=3 µF and C2=2 µF, have an equivalent capacitance of 1.2 µF.
• A wire with 8 Ω resistance and 2 A current has a voltage of 16 V.
• A 2 µC charge in an electric field of 500 N/C experiences a force of 0.001 N.
• Force between two point charges, Q1=+5 µC and Q2=−4 µC, 2 meters apart, is 0.045 N (k = 9 × 10^9 Nm²/C²).
• Resistance is the property of a material opposing electric current flow.
• Conductance is the reciprocal of resistance.
• Radiation is a heat transfer mode that doesn't require a medium.
• Convection transfers heat through the bulk movement of a fluid.
• Kelvin is an absolute temperature scale.
• Specific heat is heat capacity per unit mass.
• Linear thermal expansion applies to solids.
• Aluminium generally has the highest thermal conductivity
• Wavelength is the distance between successive points in phase on a wave.
• A wave with a frequency of 50 Hz has a periodic time of 0.02 s.
• Amplitude is related to the loudness of sound waves.
• The SI unit of amplitude is the meter.
• Refraction direction of wave change when it encounters a boundary.
• According to Snell's Law: n1sin(θ1) = n2sin(θ2).
• Burning magnesium ribbon in air produces a dazzling white flame.
• Balanced chemical equation: NaOH + H2SO4 -> Na2SO4 + H2O
• Storing oxygen gas involves liquefaction of air.
• Hydrochloric acid's formula is HCl.
• Sodium hydroxide (NaOH) is an example of strong base.
• Acetic acid is an example of weak acid.
• Hydrogen gas is produced by acid reacting with metal.
• Fe3O4 forms during prolonged iron reaction with steam.
• Ionic compounds have high melting and boiling points.
• Reactivity series: Tin > Lead > Copper > Mercury
• CPU is the Central Processing Unit.
• Bit is the smallest unit of information.
• Hyper Text Markup Language is abbreviated as HTML.
• Microsoft Word, Microsoft Excel & Microsoft PowerPoint are all MS Office Suite programs.
• The default extension for Microsoft Excel files is .xlsx.
• Wetland is an aquatic ecosystem.
• Checking soil erosion is an indirect use of forests.
• Gardens are artificial ecosystems.
• Methane is a non-renewable resource.
• Human activities primarily cause water pollution.

Aptitude Test (Mathematics & Soft Skill) (BE-02)

• The value of x is -1 given the matrix equation.

• The order of matrix C is 5 2 given A is 4 x 3, B is 3 x 5 and ABC is 4 x 2.

• For a square matrix A if A⁻¹=adjA then |A|=0.

• A+B⁻¹ = [1 5 -3; 12 -1 3]

• The period of sin(x/3) + tan(x/4) is 12.

• sin2A + sin8A / cos2A + cos8A = tan5A

• Sec 75 = 2√2 / √3-1

• If the angle between vector a and (1,1,1) is 60, and direction cosines of a are l, m, n; then (l+m+n) / √3 = 1.

• If vectors (m,3,5) and (m, m-1, -3) are perpendicular to each other then m=2.

• (1,1,1) and passing through

• The equation of the perpendicular line to the line 3x-2y+7 passes through (3,2)is 2x+3y-12=0

• The redius of circle 2x^2+2y^2+2x+4y-2=0 is √5 / 2

• If f(x)=tan x then f(45)+f(30) = (√3-1) / √3.

• The limit of (3n^2+5n-7) / (5n^2+6n-2) = 3/5.

• The limit of x->0(e^x + Sinx -1/ x = is None of the above

• d/dx + (Log(Sinx) The antider of derivetive is cot x

• d(xlogx) / x dx = log x + 1

• If A = a(1-Sint) Dy/DX is Sin

• If the equation of a moving object is = t3 6t +9t then one second, object changes its direction 2,3

• The answer to is sin x cos x dx is Sin ^2+ c / 6

• xe^xdx= xe^x - e^x + C

• The missing number is

• The missing number is

• The missing number is

• The log number is

• The log number is In the ancient village of Varanasi along the Ganges River, there lived a poor but humble weaver named Raj. He was struggling to meet both ends, yet humble and helping to others. One day, as he worked diligently on his loom, a celestial figure appeared. It was Saraswati, the goddess of knowledge, disguised as an old woman. Impressed by Raj's kindness, she blessed him with unparalleled weaving skills of Goddess to have an unparalleled weaving Skills and told him that goddess Lakshami would soon bring prosperity to his doorstep.

• Raj was a kind and hardworking person, hence a celestial figure appeared.

• Goddess Swaraswati appeared before Raj disguised as an old woman.

• King challenges Raj to weave a fabric depicting the spirit of Ganges.

• Raj gathered inspiration by visiting the river Ganges.

• From the passage, "disguise" substitutes for "an act of changing one's appearance".

• Feedback ensures communication cycle completion.

• Non-verbal communication is communication without words.

• The person who transmits the message is called Sender i.e. transmits the message.

• Semantic communication barriers arise due to problems of Language.

• Kinesics refers to body movements, gestures, and facial expressions during communication.

• The recipient's address is the Inside Address.

• A Letter of Adjustment is drafted following a customer complaint.

• Cash With Order is abbreviated as C.W.O.

• Simplicity & ease of communication is an email advantage.

• BCC stands for Blind Carbon Copy.

• Simple present tense is used in newspaper headlines.

• The train had already left before we reached the station.

• "Good" in “Rima is a good” refers to an adjective.

• If “you work hard", you will succeed.

• One should used the word "is" used for the given sentence.

• Spelling for the word Vaccum shold be Vacuum.

• Right Spelling should be Entrepreneur

• Right sentence of the 48Th Equation is now

• Right sentence of the 49Th Equation is, daily

• Right Sentence of the 50Th Equation is Do i Have a Pen