SPEED TEST 5
Type: Custom Test Questions: 135 Total Marks: 540 Difficulty: Easy, Medium
Topics covered
Physics
Work, Energy and Power - Scalar Product of Vectors, Work, Kinetic Energy, The Work-Energy Theorem for a
Constant/Variable Force, Conservative and Non-conservative Forces, The Concept of Potential Energy, Conservation of
Mechanical Energy, Vertical Circular Motion, Work Dependence on Frame, Power, Collisions, Miscellaneous Problems on
Work, Energy and Power
Biology
Cell : The Unit of Life - Cell Theory - Introduction, Overview of Cell, Prokaryotic Cell, Eukaryotic Cell, Cell Membrane,
Cell Wall, Endo Membrane System, Mitochondria, Plastids, Ribosomes, Cytoskeleton, Cilia and Flagella, Centriole, Nucleus,
Microbodies
1. The figure shows a mass m on a frictonless surface. 3. If force acting on a body is inversely proportional to
It is connected to rigid wall by the mean of a mass- its speed, then its kinetic energy is
less spring of its constant k. Initially, the spring is at (1) Linearly related to time
its natural position. If a force of constant magnitude (2) Inversely proportional to time
starts acting on the block towards right, then the (3) Inversely proportional to the square of time
speed of the block when the deformation in spring is (4) A constant
x, will be
4. The sum of the magnitudes of two forces acting at a
point is 8 N . The resultant of these forces is
perpendicular to the smaller force and has a
magnitude of 4 N . If the smaller force is of
2F ⋅ x − kx
2
magnitude x, then the value of x is
(1) √
m
2
(1) 2N
F ⋅ x − kx
(2) √
(2) 5N
m
(3) √
x(F − k)
(3) 8N
m
2
(4) 3N
F ⋅ x − kx
(4) √
2m
5. Read the Statement − A and Statement − B
2. Two vectors A→ and →
B are such that carefully to mark the correct option given below:
A→+B
→ = A→ − B
→ . Then
In a collision where In all inelastic collisions,
(1) A→ ⋅ B
→=0 kinetic energy is not the loss of kinetic energy
conserved, some of the is transformed into
(2) A→ × B
→=0
kinetic energy is potential energy.
(3) A→ = 0 converted into other
forms of energy.
→=0
(4) B
(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.
,6. Consider a particle moving with a minimum speed v 10. Assertion: Total mechanical energy is conserved in
at highest point of vertical circle of radius R . If the perfectly elastic collision.
radius of the circle is doubled then the
Reason: Elastic and inelastic type of collisions are
corresponding minimum speed will be
identical.
(1) v
(1) Both Assertion and Reason are correct and
v
(2) Reason is the correct explanation of the
√2
Assertion.
(3) √ 3v
(2) Both Assertion and Reason are correct but
(4) √ 2v Reason is not the correct explanation of the
Assertion.
7. Assertion: Soft steel can be made red hot by
(3) Assertion is correct but Reason is incorrect.
continued hammering on it, but hard steel cannot.
(4) Assertion is incorrect but reason is correct.
Reason: Energy transfer in case of soft iron is larger 11. A bicyclist comes to a skidding stop in 10 m. During
than in hard steel.
this process, the force on the bicycle due to the road
(1) Both Assertion and Reason are correct and
is 200 N and is directly opposed to the motion. The
Reason is the correct explanation of the
work done by the cycle on the road is
Assertion.
(1) −200 J
(2) Both Assertion and Reason are correct but
Reason is not the correct explanation of the (2) +2000 J
Assertion.
(3) −20000 J
(3) Assertion is correct but Reason is incorrect.
(4) Zero
(4) Assertion is incorrect but reason is correct.
12. Two particles of masses m and 2 m moving in
8. A block of mass 5 kg slides down a rough inclined
opposite directions collide elastically with velocities v
surface. The angle of inclination is 45
∘
. The
and 2v respectively. The velocity of 2 m after collision
coefficient of sliding friction is 0.20 . When the block
is:
slides 10 m, the work done on the block by force of
friction is: (1) 1.1 v
(1) 50√ 2J
(2) v
(2) −50√ 2J
(3) 1.5v
(3) 50 J
(4) Zero
(4) −50 J 13. If a vector 2^
i + 3^ ^
j + 8k is perpendicular to the
vector 4^j − 4^i + αk
^
. Then the value of α is
9. When two bodies stick together after collision, the
collision is said to be (1) -1
(1) partially elastic (2) 1/2
(2) elastic (3) −1/2
(3) inelastic (4) 1
(4) perfectly inelastic
,14. In the figure shown, a ball of mass 1 kg is rolled with 16. A body of mass m is in vertical motion under the
a kinetic energy of 330 J . It reaches R through the influence of gravity then
path P QR . Find the speed of the ball at R , if its (1) Work will be positive and kinetic energy increases
potential energy at P is zero. during fall
(2) Work will be negative and kinetic energy
increases during fall
(3) Kinetic energy increases when body is projected
up and work will be positive
(4) Kinetic energy decreases when body is projected
up and work will be positive
17. Assertion: A rigid body is not elastic.
(1) 52 m/s
Reason: If a force is applied on the elastic body, its
(2) 45 m/s dimensions shall change.
(3) 40 m/s
(1) Both Assertion and Reason are correct and
Reason is the correct explanation of the
(4) 31 m/s
Assertion.
15. Block A of mass M in the figure is released from rest (2) Both Assertion and Reason are correct but
Reason is not the correct explanation of the
when the extension in the spring is x0 . The
Assertion.
maximum downward displacement of the block is
(3) Assertion is correct but Reason is incorrect.
(assume x < M g/l )
(4) Assertion is incorrect but reason is correct.
0
18. A particle of mass m1 moves with velocity v1 and
collides with another particle at rest of equal mass.
The velocity of the second particle after the elastic
collision is
(1) 2v 1
(2) v1
(3) −v 1
(4) 0
19. Read the Statement − A and Statement − B
carefully to mark the correct option given below:
2M g Momentum The kinetic energy after
(1) − x0
conservation can be an inelastic collision is
k
2M g used to determine the always zero.
(2) + x0
k final velocities after an
(3)
Mg
+ x0 elastic collision.
2k
(4) 2(
Mg
− x0 )
(1) Both Statement A and Statement B are true.
k
(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.
, 20. A force F = 50 N is applied at one end of string, the 23. The potential energy of a long spring when stretched
other end of which is tied to a block of mass 10 kg . by 2 cm is U . If the spring is stretched by 8 cm,
The block is free to move on a frictionless horizontal potential energy stored in it will be:
surface. Take initial instant as θ = 30 and final ∘
(1) 4U
instant as 37
∘
. For the time between these two (2) 8U
instants, answer the following question Net work
(3) 16U
done by the force F on the block is
(4) 2U
24. Read the Assertion and Reason carefully to mark
correct option given below:
Assertion: Work is done when a force causes a
displacement.
Reason: If an object is not displaced despite a force
acting on it, no work is done.
(1) Both Assertion and Reason are true and Reason
50
(1) J is the correct explanation of the Assertion.
3
(2) 75 J (2) Both Assertion and Reason are true but Reason is
100
not the correct explanation of the Assertion.
(3) J
(3) Assertion is true but Reason is false.
3
(4) None of these (4) Assertion is false but Reason is true.
21. Assertion: In a perfectly inelastic collision the kinetic 25. Given that the displacement of the body in metre is a
energy is never conserved. function of time as follows x = 2t + 5. The mass of
4
the body is 2 kg. What is the increase in its kinetic
Reason: The objects get deformed and stick together
energy one second after that start of motion?
in perfectly inelastic collision.
(1) 8 J
(1) Both Assertion and Reason are correct and
Reason is the correct explanation of the (2) 16 J
Assertion.
(3) 32 J
(2) Both Assertion and Reason are correct but
Reason is not the correct explanation of the (4) 64 J
Assertion.
(3) Assertion is correct but Reason is incorrect.
(4) Assertion is incorrect but reason is correct.
22. A ball 'A' of mass 1.2 kg moving with a velocity of
8.4 ms
−1
makes one dimensional elastic collision
with a ball 'B' of mass 3.6 kg at rest. The percentage
of kinetic energy transferred by ball 'A' to ball 'B' is
(1) 25%
(2) 50%
(3) 75%
(4) 60%
Type: Custom Test Questions: 135 Total Marks: 540 Difficulty: Easy, Medium
Topics covered
Physics
Work, Energy and Power - Scalar Product of Vectors, Work, Kinetic Energy, The Work-Energy Theorem for a
Constant/Variable Force, Conservative and Non-conservative Forces, The Concept of Potential Energy, Conservation of
Mechanical Energy, Vertical Circular Motion, Work Dependence on Frame, Power, Collisions, Miscellaneous Problems on
Work, Energy and Power
Biology
Cell : The Unit of Life - Cell Theory - Introduction, Overview of Cell, Prokaryotic Cell, Eukaryotic Cell, Cell Membrane,
Cell Wall, Endo Membrane System, Mitochondria, Plastids, Ribosomes, Cytoskeleton, Cilia and Flagella, Centriole, Nucleus,
Microbodies
1. The figure shows a mass m on a frictonless surface. 3. If force acting on a body is inversely proportional to
It is connected to rigid wall by the mean of a mass- its speed, then its kinetic energy is
less spring of its constant k. Initially, the spring is at (1) Linearly related to time
its natural position. If a force of constant magnitude (2) Inversely proportional to time
starts acting on the block towards right, then the (3) Inversely proportional to the square of time
speed of the block when the deformation in spring is (4) A constant
x, will be
4. The sum of the magnitudes of two forces acting at a
point is 8 N . The resultant of these forces is
perpendicular to the smaller force and has a
magnitude of 4 N . If the smaller force is of
2F ⋅ x − kx
2
magnitude x, then the value of x is
(1) √
m
2
(1) 2N
F ⋅ x − kx
(2) √
(2) 5N
m
(3) √
x(F − k)
(3) 8N
m
2
(4) 3N
F ⋅ x − kx
(4) √
2m
5. Read the Statement − A and Statement − B
2. Two vectors A→ and →
B are such that carefully to mark the correct option given below:
A→+B
→ = A→ − B
→ . Then
In a collision where In all inelastic collisions,
(1) A→ ⋅ B
→=0 kinetic energy is not the loss of kinetic energy
conserved, some of the is transformed into
(2) A→ × B
→=0
kinetic energy is potential energy.
(3) A→ = 0 converted into other
forms of energy.
→=0
(4) B
(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.
,6. Consider a particle moving with a minimum speed v 10. Assertion: Total mechanical energy is conserved in
at highest point of vertical circle of radius R . If the perfectly elastic collision.
radius of the circle is doubled then the
Reason: Elastic and inelastic type of collisions are
corresponding minimum speed will be
identical.
(1) v
(1) Both Assertion and Reason are correct and
v
(2) Reason is the correct explanation of the
√2
Assertion.
(3) √ 3v
(2) Both Assertion and Reason are correct but
(4) √ 2v Reason is not the correct explanation of the
Assertion.
7. Assertion: Soft steel can be made red hot by
(3) Assertion is correct but Reason is incorrect.
continued hammering on it, but hard steel cannot.
(4) Assertion is incorrect but reason is correct.
Reason: Energy transfer in case of soft iron is larger 11. A bicyclist comes to a skidding stop in 10 m. During
than in hard steel.
this process, the force on the bicycle due to the road
(1) Both Assertion and Reason are correct and
is 200 N and is directly opposed to the motion. The
Reason is the correct explanation of the
work done by the cycle on the road is
Assertion.
(1) −200 J
(2) Both Assertion and Reason are correct but
Reason is not the correct explanation of the (2) +2000 J
Assertion.
(3) −20000 J
(3) Assertion is correct but Reason is incorrect.
(4) Zero
(4) Assertion is incorrect but reason is correct.
12. Two particles of masses m and 2 m moving in
8. A block of mass 5 kg slides down a rough inclined
opposite directions collide elastically with velocities v
surface. The angle of inclination is 45
∘
. The
and 2v respectively. The velocity of 2 m after collision
coefficient of sliding friction is 0.20 . When the block
is:
slides 10 m, the work done on the block by force of
friction is: (1) 1.1 v
(1) 50√ 2J
(2) v
(2) −50√ 2J
(3) 1.5v
(3) 50 J
(4) Zero
(4) −50 J 13. If a vector 2^
i + 3^ ^
j + 8k is perpendicular to the
vector 4^j − 4^i + αk
^
. Then the value of α is
9. When two bodies stick together after collision, the
collision is said to be (1) -1
(1) partially elastic (2) 1/2
(2) elastic (3) −1/2
(3) inelastic (4) 1
(4) perfectly inelastic
,14. In the figure shown, a ball of mass 1 kg is rolled with 16. A body of mass m is in vertical motion under the
a kinetic energy of 330 J . It reaches R through the influence of gravity then
path P QR . Find the speed of the ball at R , if its (1) Work will be positive and kinetic energy increases
potential energy at P is zero. during fall
(2) Work will be negative and kinetic energy
increases during fall
(3) Kinetic energy increases when body is projected
up and work will be positive
(4) Kinetic energy decreases when body is projected
up and work will be positive
17. Assertion: A rigid body is not elastic.
(1) 52 m/s
Reason: If a force is applied on the elastic body, its
(2) 45 m/s dimensions shall change.
(3) 40 m/s
(1) Both Assertion and Reason are correct and
Reason is the correct explanation of the
(4) 31 m/s
Assertion.
15. Block A of mass M in the figure is released from rest (2) Both Assertion and Reason are correct but
Reason is not the correct explanation of the
when the extension in the spring is x0 . The
Assertion.
maximum downward displacement of the block is
(3) Assertion is correct but Reason is incorrect.
(assume x < M g/l )
(4) Assertion is incorrect but reason is correct.
0
18. A particle of mass m1 moves with velocity v1 and
collides with another particle at rest of equal mass.
The velocity of the second particle after the elastic
collision is
(1) 2v 1
(2) v1
(3) −v 1
(4) 0
19. Read the Statement − A and Statement − B
carefully to mark the correct option given below:
2M g Momentum The kinetic energy after
(1) − x0
conservation can be an inelastic collision is
k
2M g used to determine the always zero.
(2) + x0
k final velocities after an
(3)
Mg
+ x0 elastic collision.
2k
(4) 2(
Mg
− x0 )
(1) Both Statement A and Statement B are true.
k
(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.
, 20. A force F = 50 N is applied at one end of string, the 23. The potential energy of a long spring when stretched
other end of which is tied to a block of mass 10 kg . by 2 cm is U . If the spring is stretched by 8 cm,
The block is free to move on a frictionless horizontal potential energy stored in it will be:
surface. Take initial instant as θ = 30 and final ∘
(1) 4U
instant as 37
∘
. For the time between these two (2) 8U
instants, answer the following question Net work
(3) 16U
done by the force F on the block is
(4) 2U
24. Read the Assertion and Reason carefully to mark
correct option given below:
Assertion: Work is done when a force causes a
displacement.
Reason: If an object is not displaced despite a force
acting on it, no work is done.
(1) Both Assertion and Reason are true and Reason
50
(1) J is the correct explanation of the Assertion.
3
(2) 75 J (2) Both Assertion and Reason are true but Reason is
100
not the correct explanation of the Assertion.
(3) J
(3) Assertion is true but Reason is false.
3
(4) None of these (4) Assertion is false but Reason is true.
21. Assertion: In a perfectly inelastic collision the kinetic 25. Given that the displacement of the body in metre is a
energy is never conserved. function of time as follows x = 2t + 5. The mass of
4
the body is 2 kg. What is the increase in its kinetic
Reason: The objects get deformed and stick together
energy one second after that start of motion?
in perfectly inelastic collision.
(1) 8 J
(1) Both Assertion and Reason are correct and
Reason is the correct explanation of the (2) 16 J
Assertion.
(3) 32 J
(2) Both Assertion and Reason are correct but
Reason is not the correct explanation of the (4) 64 J
Assertion.
(3) Assertion is correct but Reason is incorrect.
(4) Assertion is incorrect but reason is correct.
22. A ball 'A' of mass 1.2 kg moving with a velocity of
8.4 ms
−1
makes one dimensional elastic collision
with a ball 'B' of mass 3.6 kg at rest. The percentage
of kinetic energy transferred by ball 'A' to ball 'B' is
(1) 25%
(2) 50%
(3) 75%
(4) 60%
