Major Competitive Exams

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Q. If the radius of a sphere is halved, how does its volume change?
  • A. It remains the same
  • B. It doubles
  • C. It halves
  • D. It reduces to one-eighth
Q. If the radius of a spherical Gaussian surface is doubled while keeping the charge inside constant, how does the electric field change?
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. If the radius of a spherical Gaussian surface is doubled, how does the electric field due to a point charge at its center change?
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It becomes zero
Q. If the radius of a spherical Gaussian surface is doubled, how does the electric field change if the enclosed charge remains constant?
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. If the radius of curvature of a concave mirror is 20 cm, what is its focal length? (2022)
  • A. 5 cm
  • B. 10 cm
  • C. 15 cm
  • D. 20 cm
Q. If the radius of curvature of a concave mirror is 40 cm, what is its focal length?
  • A. 10 cm
  • B. 20 cm
  • C. 30 cm
  • D. 40 cm
Q. If the radius of curvature of a convex lens is 20 cm, what is its focal length? (2022)
  • A. 10 cm
  • B. 20 cm
  • C. 30 cm
  • D. 40 cm
Q. If the radius of curvature of a convex mirror is 20 cm, what is its focal length? (2022)
  • A. 10 cm
  • B. 20 cm
  • C. 30 cm
  • D. 40 cm
Q. If the radius of curvature of a convex mirror is 30 cm, what is its focal length?
  • A. 10 cm
  • B. 15 cm
  • C. 20 cm
  • D. 30 cm
Q. If the radius of curvature of a lens is 20 cm, what is the focal length of the lens assuming it is made of glass with a refractive index of 1.5?
  • A. 10 cm
  • B. 15 cm
  • C. 20 cm
  • D. 30 cm
Q. If the radius of curvature of a lens is 30 cm and the refractive index is 1.5, what is the focal length of the lens?
  • A. 10 cm
  • B. 15 cm
  • C. 20 cm
  • D. 25 cm
Q. If the radius of curvature of a lens is 30 cm, what is the focal length of the lens assuming it is made of glass with a refractive index of 1.5?
  • A. 10 cm
  • B. 15 cm
  • C. 20 cm
  • D. 25 cm
Q. If the radius of curvature of a spherical mirror is 30 cm, what is its focal length?
  • A. 10 cm
  • B. 15 cm
  • C. 20 cm
  • D. 30 cm
Q. If the radius of curvature of a spherical mirror is 40 cm, what is its focal length?
  • A. 10 cm
  • B. 20 cm
  • C. 30 cm
  • D. 40 cm
Q. If the radius of the Earth is 6400 km, what is the total distance from the center of the Earth to a satellite in a geostationary orbit? (2000)
  • A. 36000 km
  • B. 42000 km
  • C. 32000 km
  • D. 28000 km
Q. If the radius of the Earth is doubled, what will be the change in gravitational force experienced by an object on its surface?
  • A. It will double
  • B. It will remain the same
  • C. It will be halved
  • D. It will be quartered
Q. If the radius of the Earth is doubled, what will be the change in gravitational acceleration at its surface?
  • A. It will double
  • B. It will remain the same
  • C. It will be halved
  • D. It will increase by 4 times
Q. If the radius of the Earth is doubled, what will happen to the gravitational force experienced by an object on its surface?
  • A. It will double
  • B. It will remain the same
  • C. It will be halved
  • D. It will be quartered
Q. If the radius of the Earth is R and a satellite is in a circular orbit at a height h above the Earth's surface, what is the expression for the orbital speed v of the satellite?
  • A. v = sqrt(GM/(R+h))
  • B. v = sqrt(GM/R)
  • C. v = sqrt(GM/(R-h))
  • D. v = sqrt(GM/(R^2 + h^2))
Q. If the radius of the Earth is R and a satellite is in a geostationary orbit, what is the height of the satellite above the Earth's surface?
  • A. R/2
  • B. R
  • C. R/3
  • D. R/4
Q. If the radius of the Earth is R and a satellite is in a low Earth orbit at a height h, what is the expression for the gravitational force acting on the satellite?
  • A. G * M * m / (R + h)^2
  • B. G * M * m / R^2
  • C. G * M * m / (R - h)^2
  • D. G * M * m / (R + h)
Q. If the radius of the Earth is R, what is the gravitational acceleration at a height R above the Earth's surface?
  • A. g/4
  • B. g/2
  • C. g
  • D. g/8
Q. If the radius of the Earth is R, what is the radius of a satellite in a geostationary orbit?
  • A. R
  • B. 2R
  • C. 3R
  • D. 4R
Q. If the radius of the Earth were to double, what would happen to the gravitational force experienced by a satellite in low Earth orbit?
  • A. It would double
  • B. It would remain the same
  • C. It would decrease to one-fourth
  • D. It would increase to four times
Q. If the radius of the Earth were to double, what would happen to the gravitational acceleration at its surface?
  • A. It would double
  • B. It would remain the same
  • C. It would be halved
  • D. It would be quartered
Q. If the radius of the Earth were to double, what would happen to the weight of an object on its surface?
  • A. It would double
  • B. It would remain the same
  • C. It would become four times less
  • D. It would become four times more
Q. If the radius of the Earth were to increase by 50%, what would happen to the weight of an object on its surface?
  • A. It increases by 50%
  • B. It increases by 25%
  • C. It decreases by 25%
  • D. It remains the same
Q. If the radius of the Earth were to increase by a factor of 2, what would happen to the gravitational acceleration at its surface?
  • A. It would double
  • B. It would remain the same
  • C. It would halve
  • D. It would become one-fourth
Q. If the radius of the Earth were to increase while keeping its mass constant, what would happen to the gravitational acceleration at its surface?
  • A. It increases
  • B. It decreases
  • C. It remains the same
  • D. It becomes zero
Q. If the radius of the Earth were to increase while keeping its mass constant, what would happen to the value of g? (2023)
  • A. g increases
  • B. g decreases
  • C. g remains the same
  • D. g becomes zero
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