Major Competitive Exams

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Q. What is the escape velocity for a satellite to leave the Earth's gravitational field?
  • A. 7.9 km/s
  • B. 11.2 km/s
  • C. 9.8 km/s
  • D. 5.0 km/s
Q. What is the escape velocity for a satellite to leave the Earth's gravitational influence?
  • A. 11.2 km/s
  • B. 7.9 km/s
  • C. 9.8 km/s
  • D. 15.0 km/s
Q. What is the escape velocity from the surface of a planet with a radius of 3R and mass 4M?
  • A. √(8GM/R)
  • B. √(6GM/R)
  • C. √(4GM/R)
  • D. √(10GM/R)
Q. What is the escape velocity from the surface of a planet with a radius of 4,000 km and a mass of 6 × 10^24 kg? (G = 6.67 × 10^-11 N m²/kg²)
  • A. 10,000 m/s
  • B. 11,200 m/s
  • C. 12,000 m/s
  • D. 13,000 m/s
Q. What is the escape velocity from the surface of a planet with a radius of 4R and mass 2M?
  • A. 2√(GM/R)
  • B. √(8GM/R)
  • C. √(2GM/R)
  • D. 4√(GM/R)
Q. What is the escape velocity from the surface of a planet with mass M and radius R?
  • A. √(2GM/R)
  • B. √(GM/R)
  • C. √(2R/G)
  • D. √(G/R)
Q. What is the escape velocity from the surface of the Earth?
  • A. 7.9 km/s
  • B. 11.2 km/s
  • C. 9.8 km/s
  • D. 15 km/s
Q. What is the escape velocity from the surface of the Earth? (g = 9.8 m/s^2, R = 6.4 x 10^6 m)
  • A. 7.9 km/s
  • B. 11.2 km/s
  • C. 9.8 km/s
  • D. 5.0 km/s
Q. What is the escape velocity from the surface of the Earth? (g = 9.8 m/s², R = 6.4 × 10^6 m)
  • A. 11.2 km/s
  • B. 9.8 km/s
  • C. 7.9 km/s
  • D. 15 km/s
Q. What is the escape velocity from the surface of the Earth? (R = 6.4 × 10^6 m, g = 9.8 m/s²)
  • A. 11.2 km/s
  • B. 9.8 km/s
  • C. 7.9 km/s
  • D. 12.0 km/s
Q. What is the estimated temperature at the Earth's inner core?
  • A. 4000°C
  • B. 5000°C
  • C. 6000°C
  • D. 7000°C
Q. What is the expansion of (2x - 3y)²?
  • A. 4x² - 9y²
  • B. 4x² - 12xy + 9y²
  • C. 4x² + 9y²
  • D. 4x² + 12xy + 9y²
Q. What is the expected genotypic ratio in the F2 generation of a dihybrid cross? (2019)
  • A. 1:2:1
  • B. 3:1
  • C. 9:3:3:1
  • D. 1:1:1:1
Q. What is the expected major product when 2-bromobutane undergoes elimination reaction?
  • A. But-1-ene
  • B. But-2-ene
  • C. But-3-ene
  • D. Butane
Q. What is the expected osmotic pressure of a 0.5 M NaCl solution at 25 °C?
  • A. 12.3 atm
  • B. 24.6 atm
  • C. 6.1 atm
  • D. 3.1 atm
Q. What is the expected product of the reaction of 1-chlorobutane with zinc in dry ether?
  • A. Butane
  • B. Butyne
  • C. Butene
  • D. No reaction
Q. What is the expected product when 1-chlorobutane reacts with aqueous NaOH?
  • A. Butanol
  • B. Butene
  • C. No reaction
  • D. Butyric acid
Q. What is the expected ratio of phenotypes in a cross between two purebred parents with contrasting traits? (2019)
  • A. 1:1
  • B. 3:1
  • C. 9:3:3:1
  • D. 1:2:1
Q. What is the expression for the magnetic field at the center of a circular loop of radius R carrying a current I?
  • A. B = μ₀I/(2R)
  • B. B = μ₀I/(4R)
  • C. B = μ₀I/(πR)
  • D. B = μ₀I/(2πR)
Q. What is the expression for the magnetic field at the center of a circular loop of radius R carrying current I?
  • A. μ₀I/(2R)
  • B. μ₀I/(4R)
  • C. μ₀I/(2πR)
  • D. μ₀I/(4πR)
Q. What is the expression for the magnetic field B at a distance r from a long straight conductor carrying current I?
  • A. B = (μ₀I)/(2πr)
  • B. B = (μ₀I)/(4πr²)
  • C. B = (I)/(2πr)
  • D. B = (μ₀I²)/(2πr)
Q. What is the expression for the magnetic field B at a distance r from a long straight wire carrying current I according to the Biot-Savart Law?
  • A. B = (μ₀I)/(2πr)
  • B. B = (μ₀I)/(4πr²)
  • C. B = (I)/(2πr)
  • D. B = (μ₀I²)/(2πr)
Q. What is the family of curves represented by the equation xy = c?
  • A. Hyperbolas
  • B. Parabolas
  • C. Ellipses
  • D. Circles
Q. What is the family of curves represented by the equation x^2/a^2 + y^2/b^2 = 1?
  • A. Ellipses
  • B. Hyperbolas
  • C. Parabolas
  • D. Circles
Q. What is the family of curves represented by the equation y = a sin(bx + c)?
  • A. Sine waves
  • B. Cosine waves
  • C. Linear functions
  • D. Quadratic functions
Q. What is the family of curves represented by the equation y = e^(kx)?
  • A. Linear functions
  • B. Exponential functions with varying growth rates
  • C. Logarithmic functions
  • D. Polynomial functions
Q. What is the family of curves represented by the equation y = k/x?
  • A. Linear functions
  • B. Hyperbolas
  • C. Parabolas
  • D. Circles
Q. What is the Faraday's constant value?
  • A. 96485 C/mol
  • B. 96500 C/mol
  • C. 96500 A·s/mol
  • D. 96480 C/mol
Q. What is the Faraday's constant?
  • A. 96485 C/mol
  • B. 96500 C/mol
  • C. 96500 J/mol
  • D. 96485 J/mol
Q. What is the female reproductive part of a flower called? (2022)
  • A. Stamen
  • B. Pistil
  • C. Petal
  • D. Sepal
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