SPEED TEST 8
Type: Custom Test Questions: 180 Total Marks: 720 Difficulty: Easy, Medium
Topics covered
Physics
Gravitation - Kepler’s Laws, Universal Law of Gravitation and G, Acceleration Due to Gravity of the Earth, Gravitational Field,
Gravitational Potential, Gravitational Potential Energy, Escape Speed , Earth Satellites, Miscellaneous Problems on Gravitation
Chemistry
Equilibrium - General Characteristics of Equilibrium, Equilibrium in Physical Processes, Equilibrium in Chemical Processes, Equilibrium
Constant, Applications of Equilibrium Constant, Relationship between Equilibrium Constant, Reaction Quotient and Gibbs Free Energy,
Degree of Dissociation from Vapour Density Measurement , Le Chatelier’s Principle and Applications, Ionic Equilibrium, Acids and Bases,
Ionization of Acids and Bases, The Ionization Constant of Water and Its Ionic Product, pH concept, Relation between Ka and Kb , Di and
Polybasic Acids and Di and Polyacidic Bases, Buffer Solutions, Hydrolysis of Salts, Acid – Base Titration Using Indicators, Solubility
Equilibria of Sparingly Soluble Salts, Ionic Equilibrium involving complex ions, Miscellaneous questions on equilibrium
Biology
Photosynthesis in Higher Plants - Introduction, Early Experiments, Location of Photosynthesis, Pigments in Photosynthesis, Light
Reaction, Dark Reaction, C4 Pathway, Photorespiration, Factors Affecting Photosynthesis
1. Assertion: A body becomes weightless at the centre of 4. The tidal waves in the sea are primarily due to
earth. (1) The gravitational effect of the moon on the earth
(2) The gravitational effect of the sun on the earth
Reason: As the distance from centre of earth decreases,
(3) The gravitational effect of the venus on the earth
acceleration due to gravity increases.
(4) The atmospheric effect of the earth itself
(1) Both Assertion and Reason are correct and Reason is the
correct explanation of the Assertion. 5. Read the Statement - A and Statement - B carefully to mark
(2) Both Assertion and Reason are correct but Reason is not the correct option given below:
the correct explanation of the Assertion.
The escape speed from a If an object is projected
(3) Assertion is correct but Reason is incorrect.
planet is dependent on the vertically upward from
(4) Assertion is incorrect but reason is correct.
location from where it is Earth's surface with a speed
2. A projected. equal to the escape speed, it
90 kg body placed at 2R distance from surface of earth
will escape Earth's
experiences gravitational pull of ( R = Radius of earth,
gravitational influence
g = 10 ms
−2
) without additional
(1) 225 N
propulsion.
(2) 100 N (1) Both Statement A and Statement B are true.
(3) 300 N (2) Statement A is true, but Statement B is false.
(3) Statement A is false, but Statement B is true.
(4) 120 N
(4) Both Statement A and Statement B are false.
3. A satellite of mass m is orbiting the earth (of radius R ) at a
6. The depth ' d ' at which the value of acceleration due to
height h from its surface. The total energy of the satellite in
1
terms of go , the value of acceleration due to gravity at the gravity becomes times the value at the earth's surface is (
n
earth's surface is R = radius of earth)
(1) mg o R
2 n
(1) d = R( )
2
n − 1
mg o R
(2) − n − 1
2(R + h) (2) d = R( )
2
2n
2mg o R
(3) n − 1
R + h (3) d = R( )
2 n
2mg o R
(4) − n − 1
R + h (4) d = R
2
( )
n
,7. What is the percentage change in the value of ' g ' on 12. Read the Assertion and Reason carefully to mark correct
shifting from equator to poles on the earth's surface? option given below:
(1) 4.5%
Assertion: The line joining a planet and the Sun sweeps out
(2) 0.343% equal areas during equal intervals of time.
(3) 0.05%
Reason: This occurs because a planet’s velocity increases as
(4) 1.5%
it approaches the Sun due to the Sun’s gravitational pull.
8. If the distance of the earth from sun is 1.5 × 10 (1) Both Assertion and Reason are true and Reason is the
8
, then
km
correct explanation of the Assertion.
the distance of an imaginary planet from Sun, if its period of
(2) Both Assertion and Reason are true but Reason is not
revolution is 2.83 years is
the correct explanation of the Assertion.
(1) 6 × 10
6
km
(3) Assertion is true but Reason is false.
(2) 3 × 10
6
km
(4) Assertion is false but Reason is true.
(3) 6 × 10
7
km
13. Assertion: Escape velocity is greater than its orbital velocity
(4) 3 × 10
7
km of a satellite.
9. Four equal masses (each of mass m ) are placed at the Reason: Orbit of a satellite is within the gravitational field of
corners of a squal of side a. The escape velocity of a body earth whereas escaping is beyond the gravitational field of
from the centre O of the square is earth.
(1) Both Assertion and Reason are correct and Reason is the
8√ 2GM
(1) √ correct explanation of the Assertion.
a
(2) Both Assertion and Reason are correct but Reason is not
(2) 4√
2GM
the correct explanation of the Assertion.
a
(3) Assertion is correct but Reason is incorrect.
(3) √
4√ 2GM
(4) Assertion is incorrect but reason is correct.
a
4GM 14. Starting from the centre of the earth having radius , the
R
(4)
a
variation of g (acceleration due to gravity) is shown by
10. An astronaut experiences weightlessness in a space satellite.
It is because
(1)
(1) The gravitational force is large at that location in space
(2) The gravitational forces is inifinitely large at that location (2)
in space.
(3)
(3) The gravitational force is small at that location in space.
(4)
(4) The astronaut experiences no gravity.
11. A planet has double the mass of the earth. Its average 15. Read the Statement - A and Statement - B carefully to mark
density is equal to that of the earth. An object weighing W the correct option given below:
on earth will weigh on that planet
The square of the orbital Mercury will have a shorter
(1) 2W period of a planet is orbital period than Earth.
proportional to the cube of
(2) 2
2/3
W
the semi-major axis of its
(3) 2
1/3
W2
1/3
W orbit.
(4) W
(1) Both Statement A and Statement B are true.
(2) Statement A is true, but Statement B is false.
(3) Statement A is false, but Statement B is true.
(4) Both Statement A and Statement B are false.
,16. 21. If the law of gravitation be such that the force of attraction
Astronauts in a satellite The satellite and its contents
between two particles vary inversely as the 5/2 power of th
moving around the Earth are falling freely at the same
their separation, then the graph of orbital velocity v plotted
are in a weightlessness rate. 0
condition. against the distance r of a satellite from the earth's centre
on a log-log scale is shown along side. The slope of line will
(1) Statement A is correct but Statement B is incorrect. be
(2) Statement A is incorrect but Statement B is correct.
(3) Both statements are correct.
(4) Both Statements are incorrect.
17. The radii of two planets are respectively R1 and R2 and
their densities are respectively ρ1 and ρ2 . The ratio of the
acceleration due to gravity at their surfaces is
ρ1 ρ2
(1) g1 : g2 =
2
:
2
R R
1 2
(2) g1 : g2 = R1 ρ2 : R2 ρ1
(3) g1 : g2 = R1 R2 : ρ1 ρ2 5
(1) −
(4) g1 : g2 = R1 ρ1 : R2 ρ2
2
5
(2) −
4
18. The density of a newly discovered planet is twice that of
(3) −1
earth. The acceleration due to gravity at the surface of the
planet is equal to that at the surface of the earth. If the (4) −
3
radius of the earth is R, the radius of the planet would be 4
22. Two stars each of mass M , are orbiting in a circle of radius
(1) 2R
1
R , their orbital time period is proportional to
(2) R
2 (1) R
3/2
(3) 4R
(2) R
1
(4) R
4 (3) R
2
19. Assertion: Planet is a heavenly body revolving around the (4) R
1/2
sun.
23. The ratio of escape velocities of two planets if g value on the
Reason: Star is luminous body made of gaseous material. two planets are 9.9 m/s
2
and 3.3 m/s
2
and their radii are
(1) Both Assertion and Reason are correct and Reason is the 6400 km and 3200 km respectively is
correct explanation of the Assertion. (1) 2.4
(2) Both Assertion and Reason are correct but Reason is not (2) 1.3
the correct explanation of the Assertion.
(3) 3.3
(3) Assertion is correct but Reason is incorrect.
(4) 4.3
(4) Assertion is incorrect but reason is correct.
24. Two hollow spherical shells each of mass m and radii R and
20. In a satellite if the time of revolution is T , then kinetic
2R are present. The potential at the centre is
energy is proportional to
−Gm
(1) T
−2/3
(1)
2R
1 −3Gm
(2) (2)
T 2R
1 −Gm
(3) 2
(3)
T R
1 −Gm
(4) 3
(4)
T 3R
, 25. Variation of acceleration due to gravity (g) with distance x 29. If earth has a mass nine times and radius twice to that of a
from the centre of the earth is best represented by ( R →
planet P . Then √x ms will be the minimum velocity
ve
3
−1
Radius of the earth) required by a rocket to pull out of gravitational force of P ,
where v is escape velocity on earth. The value of x is
(1) e
(1) 1
(2)
(2) 18
(3) (3) 3
(4) (4) 2
30. Assertion: An astronaut experiences weightlessness in a
26. The ratio of energy required to raise a satellite of mass m to
space satellite.
a height h above the earth's surface of that required to put
it into the orbit at same height is (R = radius of earth) Reason: A body falls freely in space satellite.
h (1) Both Assertion and Reason are correct and Reason is the
(1)
R correct explanation of the Assertion.
3h
(2) (2) Both Assertion and Reason are correct but Reason is not
R
4h
the correct explanation of the Assertion.
(3)
R (3) Assertion is correct but Reason is incorrect.
(4)
2h
(4) Assertion is incorrect but reason is correct.
R
31. The time period ' ' of a satellite is related to the density
27. Three particles each of mass m are present a t the corners T
(ρ) of the planet which is orbiting close around the planet as
of an equilateral triangle of side a. Gravitational potential
(1)
−1
energy of the system is T ∝ ρ 2
(2) T ∝ ρ
(3)
1
T ∝ ρ 2
(4)
−3
T ∝ ρ 2
32. Which of the following is the evidence to show that there
must be a force acting on earth and directed towards Sun?
(1) Apparent motion of sun around the earth
(2) Phenomenon of day and night
(3) Revolution of earth round the Sun
(4) Deviation of the falling body towards earth
2
3Gm
(1) 33. Read the Assertion and Reason carefully to mark correct
a
2
option given below:
3Gm
(2) −
2a
3Gm
2 Assertion: For satellites in a circular orbit close to Earth's
(3) −
surface, the orbital speed is independent of the satellite's
a
Gm
2
mass.
(4) −
a
Reason: The centripetal force required for the satellite’s
28. Read the Statement - A and Statement - B carefully to mark
orbit comes from the gravitational force, which is
the correct option given below:
proportional to the mass of the satellite, thus canceling the
The area swept by the line A planet moves fastest when mass out of the equation for orbital speed.
between the Sun and a it is closest to the Sun. (1) Both Assertion and Reason are true and Reason is the
planet in one day is the correct explanation of the Assertion.
same at all points in the (2) Both Assertion and Reason are true but Reason is not
orbit. the correct explanation of the Assertion.
(1) Both Statement A and Statement B are true. (3) Assertion is true but Reason is false.
(2) Statement A is true, but Statement B is false. (4) Assertion is false but Reason is true.
(3) Statement A is false, but Statement B is true.
(4) Both Statement A and Statement B are false.
Type: Custom Test Questions: 180 Total Marks: 720 Difficulty: Easy, Medium
Topics covered
Physics
Gravitation - Kepler’s Laws, Universal Law of Gravitation and G, Acceleration Due to Gravity of the Earth, Gravitational Field,
Gravitational Potential, Gravitational Potential Energy, Escape Speed , Earth Satellites, Miscellaneous Problems on Gravitation
Chemistry
Equilibrium - General Characteristics of Equilibrium, Equilibrium in Physical Processes, Equilibrium in Chemical Processes, Equilibrium
Constant, Applications of Equilibrium Constant, Relationship between Equilibrium Constant, Reaction Quotient and Gibbs Free Energy,
Degree of Dissociation from Vapour Density Measurement , Le Chatelier’s Principle and Applications, Ionic Equilibrium, Acids and Bases,
Ionization of Acids and Bases, The Ionization Constant of Water and Its Ionic Product, pH concept, Relation between Ka and Kb , Di and
Polybasic Acids and Di and Polyacidic Bases, Buffer Solutions, Hydrolysis of Salts, Acid – Base Titration Using Indicators, Solubility
Equilibria of Sparingly Soluble Salts, Ionic Equilibrium involving complex ions, Miscellaneous questions on equilibrium
Biology
Photosynthesis in Higher Plants - Introduction, Early Experiments, Location of Photosynthesis, Pigments in Photosynthesis, Light
Reaction, Dark Reaction, C4 Pathway, Photorespiration, Factors Affecting Photosynthesis
1. Assertion: A body becomes weightless at the centre of 4. The tidal waves in the sea are primarily due to
earth. (1) The gravitational effect of the moon on the earth
(2) The gravitational effect of the sun on the earth
Reason: As the distance from centre of earth decreases,
(3) The gravitational effect of the venus on the earth
acceleration due to gravity increases.
(4) The atmospheric effect of the earth itself
(1) Both Assertion and Reason are correct and Reason is the
correct explanation of the Assertion. 5. Read the Statement - A and Statement - B carefully to mark
(2) Both Assertion and Reason are correct but Reason is not the correct option given below:
the correct explanation of the Assertion.
The escape speed from a If an object is projected
(3) Assertion is correct but Reason is incorrect.
planet is dependent on the vertically upward from
(4) Assertion is incorrect but reason is correct.
location from where it is Earth's surface with a speed
2. A projected. equal to the escape speed, it
90 kg body placed at 2R distance from surface of earth
will escape Earth's
experiences gravitational pull of ( R = Radius of earth,
gravitational influence
g = 10 ms
−2
) without additional
(1) 225 N
propulsion.
(2) 100 N (1) Both Statement A and Statement B are true.
(3) 300 N (2) Statement A is true, but Statement B is false.
(3) Statement A is false, but Statement B is true.
(4) 120 N
(4) Both Statement A and Statement B are false.
3. A satellite of mass m is orbiting the earth (of radius R ) at a
6. The depth ' d ' at which the value of acceleration due to
height h from its surface. The total energy of the satellite in
1
terms of go , the value of acceleration due to gravity at the gravity becomes times the value at the earth's surface is (
n
earth's surface is R = radius of earth)
(1) mg o R
2 n
(1) d = R( )
2
n − 1
mg o R
(2) − n − 1
2(R + h) (2) d = R( )
2
2n
2mg o R
(3) n − 1
R + h (3) d = R( )
2 n
2mg o R
(4) − n − 1
R + h (4) d = R
2
( )
n
,7. What is the percentage change in the value of ' g ' on 12. Read the Assertion and Reason carefully to mark correct
shifting from equator to poles on the earth's surface? option given below:
(1) 4.5%
Assertion: The line joining a planet and the Sun sweeps out
(2) 0.343% equal areas during equal intervals of time.
(3) 0.05%
Reason: This occurs because a planet’s velocity increases as
(4) 1.5%
it approaches the Sun due to the Sun’s gravitational pull.
8. If the distance of the earth from sun is 1.5 × 10 (1) Both Assertion and Reason are true and Reason is the
8
, then
km
correct explanation of the Assertion.
the distance of an imaginary planet from Sun, if its period of
(2) Both Assertion and Reason are true but Reason is not
revolution is 2.83 years is
the correct explanation of the Assertion.
(1) 6 × 10
6
km
(3) Assertion is true but Reason is false.
(2) 3 × 10
6
km
(4) Assertion is false but Reason is true.
(3) 6 × 10
7
km
13. Assertion: Escape velocity is greater than its orbital velocity
(4) 3 × 10
7
km of a satellite.
9. Four equal masses (each of mass m ) are placed at the Reason: Orbit of a satellite is within the gravitational field of
corners of a squal of side a. The escape velocity of a body earth whereas escaping is beyond the gravitational field of
from the centre O of the square is earth.
(1) Both Assertion and Reason are correct and Reason is the
8√ 2GM
(1) √ correct explanation of the Assertion.
a
(2) Both Assertion and Reason are correct but Reason is not
(2) 4√
2GM
the correct explanation of the Assertion.
a
(3) Assertion is correct but Reason is incorrect.
(3) √
4√ 2GM
(4) Assertion is incorrect but reason is correct.
a
4GM 14. Starting from the centre of the earth having radius , the
R
(4)
a
variation of g (acceleration due to gravity) is shown by
10. An astronaut experiences weightlessness in a space satellite.
It is because
(1)
(1) The gravitational force is large at that location in space
(2) The gravitational forces is inifinitely large at that location (2)
in space.
(3)
(3) The gravitational force is small at that location in space.
(4)
(4) The astronaut experiences no gravity.
11. A planet has double the mass of the earth. Its average 15. Read the Statement - A and Statement - B carefully to mark
density is equal to that of the earth. An object weighing W the correct option given below:
on earth will weigh on that planet
The square of the orbital Mercury will have a shorter
(1) 2W period of a planet is orbital period than Earth.
proportional to the cube of
(2) 2
2/3
W
the semi-major axis of its
(3) 2
1/3
W2
1/3
W orbit.
(4) W
(1) Both Statement A and Statement B are true.
(2) Statement A is true, but Statement B is false.
(3) Statement A is false, but Statement B is true.
(4) Both Statement A and Statement B are false.
,16. 21. If the law of gravitation be such that the force of attraction
Astronauts in a satellite The satellite and its contents
between two particles vary inversely as the 5/2 power of th
moving around the Earth are falling freely at the same
their separation, then the graph of orbital velocity v plotted
are in a weightlessness rate. 0
condition. against the distance r of a satellite from the earth's centre
on a log-log scale is shown along side. The slope of line will
(1) Statement A is correct but Statement B is incorrect. be
(2) Statement A is incorrect but Statement B is correct.
(3) Both statements are correct.
(4) Both Statements are incorrect.
17. The radii of two planets are respectively R1 and R2 and
their densities are respectively ρ1 and ρ2 . The ratio of the
acceleration due to gravity at their surfaces is
ρ1 ρ2
(1) g1 : g2 =
2
:
2
R R
1 2
(2) g1 : g2 = R1 ρ2 : R2 ρ1
(3) g1 : g2 = R1 R2 : ρ1 ρ2 5
(1) −
(4) g1 : g2 = R1 ρ1 : R2 ρ2
2
5
(2) −
4
18. The density of a newly discovered planet is twice that of
(3) −1
earth. The acceleration due to gravity at the surface of the
planet is equal to that at the surface of the earth. If the (4) −
3
radius of the earth is R, the radius of the planet would be 4
22. Two stars each of mass M , are orbiting in a circle of radius
(1) 2R
1
R , their orbital time period is proportional to
(2) R
2 (1) R
3/2
(3) 4R
(2) R
1
(4) R
4 (3) R
2
19. Assertion: Planet is a heavenly body revolving around the (4) R
1/2
sun.
23. The ratio of escape velocities of two planets if g value on the
Reason: Star is luminous body made of gaseous material. two planets are 9.9 m/s
2
and 3.3 m/s
2
and their radii are
(1) Both Assertion and Reason are correct and Reason is the 6400 km and 3200 km respectively is
correct explanation of the Assertion. (1) 2.4
(2) Both Assertion and Reason are correct but Reason is not (2) 1.3
the correct explanation of the Assertion.
(3) 3.3
(3) Assertion is correct but Reason is incorrect.
(4) 4.3
(4) Assertion is incorrect but reason is correct.
24. Two hollow spherical shells each of mass m and radii R and
20. In a satellite if the time of revolution is T , then kinetic
2R are present. The potential at the centre is
energy is proportional to
−Gm
(1) T
−2/3
(1)
2R
1 −3Gm
(2) (2)
T 2R
1 −Gm
(3) 2
(3)
T R
1 −Gm
(4) 3
(4)
T 3R
, 25. Variation of acceleration due to gravity (g) with distance x 29. If earth has a mass nine times and radius twice to that of a
from the centre of the earth is best represented by ( R →
planet P . Then √x ms will be the minimum velocity
ve
3
−1
Radius of the earth) required by a rocket to pull out of gravitational force of P ,
where v is escape velocity on earth. The value of x is
(1) e
(1) 1
(2)
(2) 18
(3) (3) 3
(4) (4) 2
30. Assertion: An astronaut experiences weightlessness in a
26. The ratio of energy required to raise a satellite of mass m to
space satellite.
a height h above the earth's surface of that required to put
it into the orbit at same height is (R = radius of earth) Reason: A body falls freely in space satellite.
h (1) Both Assertion and Reason are correct and Reason is the
(1)
R correct explanation of the Assertion.
3h
(2) (2) Both Assertion and Reason are correct but Reason is not
R
4h
the correct explanation of the Assertion.
(3)
R (3) Assertion is correct but Reason is incorrect.
(4)
2h
(4) Assertion is incorrect but reason is correct.
R
31. The time period ' ' of a satellite is related to the density
27. Three particles each of mass m are present a t the corners T
(ρ) of the planet which is orbiting close around the planet as
of an equilateral triangle of side a. Gravitational potential
(1)
−1
energy of the system is T ∝ ρ 2
(2) T ∝ ρ
(3)
1
T ∝ ρ 2
(4)
−3
T ∝ ρ 2
32. Which of the following is the evidence to show that there
must be a force acting on earth and directed towards Sun?
(1) Apparent motion of sun around the earth
(2) Phenomenon of day and night
(3) Revolution of earth round the Sun
(4) Deviation of the falling body towards earth
2
3Gm
(1) 33. Read the Assertion and Reason carefully to mark correct
a
2
option given below:
3Gm
(2) −
2a
3Gm
2 Assertion: For satellites in a circular orbit close to Earth's
(3) −
surface, the orbital speed is independent of the satellite's
a
Gm
2
mass.
(4) −
a
Reason: The centripetal force required for the satellite’s
28. Read the Statement - A and Statement - B carefully to mark
orbit comes from the gravitational force, which is
the correct option given below:
proportional to the mass of the satellite, thus canceling the
The area swept by the line A planet moves fastest when mass out of the equation for orbital speed.
between the Sun and a it is closest to the Sun. (1) Both Assertion and Reason are true and Reason is the
planet in one day is the correct explanation of the Assertion.
same at all points in the (2) Both Assertion and Reason are true but Reason is not
orbit. the correct explanation of the Assertion.
(1) Both Statement A and Statement B are true. (3) Assertion is true but Reason is false.
(2) Statement A is true, but Statement B is false. (4) Assertion is false but Reason is true.
(3) Statement A is false, but Statement B is true.
(4) Both Statement A and Statement B are false.
