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All questions of July Week 4 for NEET Exam

The centre of mass of a body is located
a)outside the system
b)inside or outside the system
c)inside the system
d)at the centre of system
Correct answer is option 'B'. Can you explain this answer?

Suresh Iyer answered
The centre of mass of a body can lie within or outside the body.
Example
(i)
Centre of mass of a uniform rod lies at its geometrical centre which lies within the rod
(ii) Centre of mass of a uniform ring lies at its geometrical centre which lies outside the ring.

 A mass m is moving with a constant velocity along a line parallel to the x-axis, away from the origin. Its angular momentum with respect to the origin
  • a)
    Is zero
  • b)
    Remains constant
  • c)
    Goes on increasing
  • d)
    Goes on decreasing
Correct answer is option 'B'. Can you explain this answer?

Krishna Iyer answered
Angular momentum (L) is defined as the distance of the object from a rotation axis multiplied by the linear momentum
L = mv×y
As the particle moves, m; v; and y, all remain unchanged at any point of time
⇒ L = constant

There are two objects of masses 1 kg and 2 kg located at (1, 2) and (-1, 3) respectively. The coordinates of the centre of mass are
  • a)
    ( 2, -1 )
  • b)
    ( 8/3 ,-1/3 )
  • c)
    ( -1/3 , 8/3 )
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?

Riya Banerjee answered
Body A has mass of 1kg and location (1,2)
Body B has mass of 2kg and location (-1,3)
mcxc = m1x1 + m2x2
(1+2) xc = (1 * 1) + (2 * -1)
xc  = -1/3
Similarly,
mcyc = m1y1 + m2y2
(1 + 2) yc = (1 * 2) + (2 * 3)
yc= 8/3
Hence, the coordinates of the center of mass are (-1/3, 8/3).

The motion of a potter’s wheel is an example of
  • a)
    rolling motion
  • b)
    rotatory motion
  • c)
    translatory motion
  • d)
    precessional motion
Correct answer is option 'B'. Can you explain this answer?

Anjali Iyer answered
Potter’s wheel is an example of rotary motion. Rotary motion is that kind of motion in which body of the mass moves along a circular path about an axis which remains fixed.

When external forces acting on a body are zero, then its centre of mass
  • a)
    remains stationary
  • b)
    moves with uniform velocity
  • c)
    either remains stationary or moves with uniform velocity
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?

Naina Sharma answered
When force acting upon the body results zero, the resulting acceleration due to net force applied is also zero, and hence by the law of inertia the motion of the body either at rest or constant velocity wont change.

There are some passengers inside a stationary railway compartment. The centre of masses of the compartment itself(without the passengers) is C1, while the centre of mass of the compartment plus passengers’ system is C2. if the passengers moves about inside the compartment
  • a)
    both C1 and C2 will move with respect to the ground
  • b)
    neither C1 nor C2 will move with respect to the ground
  • c)
    C1 will move but C2 will be stationary with respect to the ground
  • d)
    C2 will move but C1 will be stationary with respect to the ground
Correct answer is option 'C'. Can you explain this answer?

Lavanya Menon answered
When net Fexternal​=0, then the centre of mass of the system remains at rest.
Thus if the passenger move inside the compartment which donot require any external force, so the centre of mass of the "passenger + compartment" system must remain at rest and hence C2​ will be fixed w.r.t ground.
Also due to the movement of the passenger, the position of centre of mass of the passengers only will change, thus C1​ will have to move in such a way that C2​ may remain fixed w.r.t ground.

A rigid body is one
  • a)
    the sum of distances of all particles from the axis remains constant
  • b)
    in which the distance between all pairs of particles remains fixed
  • c)
    whose centre of mass follows a parabolic path
  • d)
    that deforms and comes back to its original shape after getting deformed
Correct answer is option 'B'. Can you explain this answer?

Krishna Iyer answered
A body is said to be a rigid body if the body remains in its original shape even under the influence of external force. We can also say that if distance between two points of the body does not change with time regardless of external forces exerted on it, then the body is said to be a rigid body.

When a shell was following a parabolic path in the air, it explodes somewhere in its flight. The centre of mass of fragments will continue to move in
  • a)
    any direction
  • b)
    horizontal direction
  • c)
    same parabolic path
  • d)
    vertical direction
Correct answer is option 'C'. Can you explain this answer?

Riya Banerjee answered
The internal forces have no effect on the trajectory of the center of mass, and the forces due to explosion are the internal forces. So the center of mass will follow the same parabolic path even after the explosion.

Can you explain the answer of this question below:

An isolated particle of mass m is moving in a horizontal plane (x,y) along the x axis at a certain height above the ground. It suddenly explodes into two fragments of masses m/4 and 3m/4. An instant later, the smaller fragments is at y = +15 cm. The larger fragment at this instant is at

  • A:

    y = +5 cm

  • B:

    y = +20 cm

  • C:

    y = -20 cm

  • D:

    y = -5 cm

The answer is d.

As the particle is exploded only due to its internal energy.
net external force during this process is 0 i.e. center mass will not change.
Let the particle while the explosion was above the origin of the coordinate system i.e. just before explosion xcm =0 and ycm =0
After the explosion, the Centre of mass will be at xcm =0 and ycm =0
Since smaller fragment has fallen on the y-axis.
Let positon of larger fragment be y.
m * ycm = (m/4 * 15) + (3m/4 * y)
⇒ (m/4 * 15) + (3m/4 * y) = 0
⇒ y = - 5 cm

A child sits stationary at one end of long trolley moving uniformly with speed v on a smooth horizontal floor. If the child gets up and runs about on the trolley in the forward direction with speed u. The centre of mass of the system (child + trolley) will move with speed
  • a)
    v
  • b)
    zero
  • c)
    u + v
  • d)
    v/u
Correct answer is option 'A'. Can you explain this answer?

Preeti Iyer answered
The child is running arbitrarily on a trolley moving with velocity v. However, the running of the child will produce no effect on the velocity of the centre of mass of the trolley. This is because the force due to the boy’s motion is purely internal. Internal forces produce no effect on the motion of the bodies on which they act. Since no external force is involved in the boy–trolley system, the boy’s motion will produce no change in the velocity of the centre of mass of the trolley.

Three identical spheres each of radius R are placed such that their centres lie on a straight line. What is the location of their centre of mass from the centre of the first sphere?
  • a)
    R
  • b)
    2R
  • c)
    3R
  • d)
    4R
Correct answer is option 'B'. Can you explain this answer?

Geetika Shah answered
  • Distance between first and last sphere = R + 2R + R = 4R
  • Since the spheres are identical and lie in a straight line, the centre of mass will lie exactly in the middle.
  • Hence the centre of mass lies at a distance of 2R from the centre of the first sphere.

The sum of moments of masses of all the particles in a system about the centre of mass is always:
  • a)
    maximum
  • b)
    infinite
  • c)
    zero
  • d)
    minimum
Correct answer is option 'C'. Can you explain this answer?

Neha Sharma answered
In physics, the center of mass of a distribution of mass in space is the unique point where the weighted relative position of the distributed mass sums to zero, or the point where if a force is applied it moves in the direction of the force without rotating. The distribution of mass is balanced around the center of mass and the average of the weighted position coordinates of the distributed mass defines its coordinates. Calculations in mechanics are often simplified when formulated with respect to the center of mass.

Every point in a rotating rigid body has the same __________at any instant of time.
  • a)
    linear velocity
  • b)
    angular velocity
  • c)
    displacement
  • d)
    linear momentum
Correct answer is option 'B'. Can you explain this answer?

Preeti Iyer answered
Every point in any rigid rotating object is rotating at the same angular velocity. However, there are a few cases where people have used the term "angular velocity" when they really meant tangential velocity, so you do have to be careful.

In a bonded molecule, the order of repulsion between the bonded and non-bonded electrons is
  • a)
    lone pair - lone pair > bond pair - bond pair > lone pair - bond pair
  • b)
    bond pair-bond pair > lone pair - lone pair > lone pair - bond pair
  • c)
    lone pair - lone pair > lone pair - bond pair > bond pair - bond pair
  • d)
    bond pair- bond pair > lone pair - bond pair > lone pair - lone pair
Correct answer is option 'C'. Can you explain this answer?

Keerthana Saha answered
The order of repulsion between the bonded and non-bonded electrons in a bonded molecule is as follows:

1) Lone pair - Lone pair repulsion: This is the strongest repulsion because both electrons are in close proximity to each other and are not involved in bonding. This repulsion affects the molecular geometry and determines the shape of the molecule.

2) Lone pair - Bonded pair repulsion: This repulsion is weaker than lone pair - lone pair repulsion but still significant. It occurs between a lone pair of electrons and a pair of electrons involved in a bond.

3) Bonded pair - Bonded pair repulsion: This is the weakest repulsion because the bonded electrons are already involved in a covalent bond and have a certain level of sharing. However, there is still some repulsion between the electron pairs due to their negative charge.

Overall, the order of repulsion from strongest to weakest is: Lone pair - Lone pair > Lone pair - Bonded pair > Bonded pair - Bonded pair.

The most stable shape of ClF3 is shown by
  • a)
    (i) only
  • b)
    (i) and (iii)
  • c)
    (ii) only
  • d)
    (iii) only
Correct answer is option 'A'. Can you explain this answer?

Suresh Iyer answered
In (i), the Ip are atequatorial position so there are less Ip - bp repulsions as compared to other positions.
Hence, T-shape is moststable.

For an object with the centre of mass at the origin, the x-coordinates of particles of the object _____.
  • a)
    maybe all positive.
  • b)
    maybe all negative.
  • c)
    maybe all non-negative.
  • d)
    cannot be predicted.
Correct answer is option 'C'. Can you explain this answer?

Tejas Verma answered
  • For an object to have the x-coordinate of its centre of mass, there should be particles on both the negative and positive coordinates of the plane for the sum to be zero.
  • However, for 1-dimensional particles that all lie on the y-axis symmetric about the x-axis, the x-coordinate is zero – which is neither positive nor negative, i.e., non-negative.

Assertion (A): Frogs are poikilothermic animals.
Reason (R): They maintain a constant body temperature irrespective of the environment.
  • a)
    Both A and R are true, and R is the correct explanation of A
  • b)
    Both A and R are true, but R is not the correct explanation of A
  • c)
    A is true but R is false
  • d)
    Both A and R are false
Correct answer is option 'C'. Can you explain this answer?

Nitya Bose answered
Assertion (A): Frogs are poikilothermic animals.
Frogs, belonging to the class Amphibia, are indeed considered poikilothermic, which means they do not have a constant body temperature. Their body temperature varies with the temperature of their environment. This adaptation allows them to thrive in various habitats, but it also makes them susceptible to environmental changes.
Reason (R): They maintain a constant body temperature irrespective of the environment.
This statement is false. Frogs do not maintain a constant body temperature. Instead, their body temperature fluctuates according to external temperatures, which is characteristic of poikilothermic organisms. They rely on behavioral adaptations, such as basking in the sun or seeking shade, to regulate their body temperature.
Conclusion: Explanation of the Correct Option
The correct answer is option C: "A is true but R is false." Here’s why:
- Frogs as Poikilothermic Animals:
- They are classified as poikilothermic because their body temperature is influenced by environmental conditions.
- Inaccuracy of the Reason:
- The assertion that frogs maintain a constant body temperature is incorrect, as it contradicts the nature of poikilothermic animals.
In summary, while the assertion about frogs being poikilothermic is true, the reason that they maintain a constant body temperature is false. Therefore, the answer is option C.

Which of the following does not show octahedral geometry?
  • a)
    SF`
  • b)
    IF5
  • c)
    SiF62-
Correct answer is option ''. Can you explain this answer?

Aashna Rane answered
Explanation:

An octahedral geometry refers to a molecular shape in which there are six atoms or groups of atoms arranged symmetrically around a central atom. The central atom is surrounded by six electron pairs, which are located at the corners of an octahedron.

In the given options, we need to identify the molecule that does not possess an octahedral geometry.

a) SF6:
In SF6, the central sulfur atom is bonded to six fluorine atoms. Each fluorine atom contributes one electron to form a covalent bond with sulfur. The sulfur atom also has one lone pair of electrons. The molecule has an octahedral geometry with the sulfur atom at the center and the six fluorine atoms and lone pair of electrons occupying the corners of the octahedron.

b) IF5:
In IF5, the central iodine atom is bonded to five fluorine atoms. Each fluorine atom contributes one electron to form a covalent bond with iodine. The iodine atom also has two lone pairs of electrons. The molecule has a square pyramidal geometry with the iodine atom at the center and the five fluorine atoms and two lone pairs of electrons occupying the corners of the square pyramid.

c) SiF62-
In SiF62-, the central silicon atom is bonded to six fluorine atoms. Each fluorine atom contributes one electron to form a covalent bond with silicon. The silicon atom also has no lone pairs of electrons. The molecule has an octahedral geometry with the silicon atom at the center and the six fluorine atoms occupying the corners of the octahedron.

Based on the above explanations, it can be concluded that the molecule does not show octahedral geometry is IF5 (option b).

For which of the following does the centre of mass lie outside the body?
  • a)
    Pen
  • b)
    Dice
  • c)
    Rectangular tile
  • d)
    Bangle
Correct answer is option 'D'. Can you explain this answer?

Varun Kapoor answered
  • The centre of mass of a bangle lies at its geometric centre which does not lie on or in the object.
  • Hence the centre of mass of a bangle lies outside the body.

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