V&E-Test-1

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Question 1:

In what state will the body be when the initial condition is fulfilled?

A) Static equilibrium
B) Dynamic equilibrium
C) Both Static and Dynamic equilibrium
D) Neither of the above

Topic: Equilibrium States in Physics

Correct Answer: A) Static equilibrium

Short Hint:

Equilibrium in physics speaks to the state of a body.
When the first condition is met, it refers to a balance of forces acting on it.
This is known as "static" or "translational" equilibrium.
Therefore, the correct answer is A, "Static equilibrium".

Question 2:

Which set of the following physical measures consists purely of vector quantities?

A) Duration, Heat, Speed
B) Impulse, Duration, Momentum
C) Speed, Acceleration, Weight
D) Impulse, Acceleration, Speed

Topic: Vector Quantities in Physics

Correct Answer: D) Impulse, Acceleration, Speed

Short Hint:

Vector quantities require both magnitude and direction for their complete description.
Only "Impulse", "Acceleration", and "Speed" fit this requirement.
Therefore, the correct answer is D, "Impulse, Acceleration, Speed".

Question 3:

What is formed by two forces of identical magnitude but different application points and opposite directions?

A) A pair
B) A couple
C) An impulse
D) None of the above

Topic: Forces in Physics

Correct Answer: B) A couple

Short Hint:

A couple is formed when two equal and opposite forces act at different points on a body.
This couple creates a rotational effect on the body.
Hence, the correct answer is B, "A couple".

Question 4:

The area of the parallelogram, with A and B as adjacent sides, is equal to what?

A) A*B
B) A*B cosθ
C) A*B sinθ
D) A*B tanθ

Topic: Geometry in Physics

Correct Answer: C) A*B sinθ

Short Hint:

The formula for the area of a parallelogram is given by A*B sinθ.
The sine function represents the height of the parallelogram.
Therefore, the correct answer is C, "A*B sinθ".

Question 5:

Which of the following entities has all points on its surface at an equal distance from the center of gravity?

A) An ovoid
B) A ping pong ball
C) A square container
D) A triangular shape

Topic: Center of Gravity in Physics

Correct Answer: B) A ping pong ball

Short Hint:

An entity where every point on its surface is equidistant from its center of gravity is a sphere.
An ovoid, a square container, or a triangular shape do not meet this requirement.
Thus, the correct answer is B, "A ping pong ball".

Question 6:

What will be the state of torque if the position vector r and the force F are along the same line?

A) Maximum
B) Least
C) Null
D) Negative

Topic: Torque in Physics

Correct Answer: C) Null

Short Hint:

Torque (τ) is given by the equation τ = r × F.
If r and F are along the same line, the angle between them is 0, and hence, the sine of the angle is also 0.
This results in the torque being null.
Therefore, the correct answer is C, "Null".

Question 7:

The primary function of a unit vector is to denote the ___________ of a vector?

A) Course
B) Inclination
C) Scale
D) Location

Topic: Vector in Physics

Correct Answer: A) Course

Short Hint:

Unit vectors are typically used to represent the direction (or course) of a vector.
A scalar quantity indicates the magnitude.
Therefore, the correct answer is A, "Course".

Question 8:

^I • ( ^j x ^k) + ^ j • (^K x ^I)

A) One
B) Two
C) Nil
D) Negative one

Topic: Vector Calculations in Physics

Correct Answer: B) Two

Short Hint:

The dot product and the cross product are basic operations in vector calculus.
The question is asking about the sum of two scalar products.
According to the given equation, the correct answer is B, "Two".

Question 9:

Under what condition would the torque exerted on a body become zero?

A) At maximum rotation
B) In a negative state
C) When the body is stationary or spinning at a constant angular velocity
D) In a positive state

Topic: Torque in Physics

Correct Answer: C) When the body is stationary or spinning at a constant angular velocity

Short Hint:

Torque (τ) is the product of moment of inertia (I) and angular acceleration (α). Therefore, τ = Iα.
If a body is at rest (stationary) or spinning at a uniform angular speed (α = 0), the torque will be zero.
Thus, the correct answer is C, "When the body is stationary or spinning at a constant angular velocity".

Question 10:

What will the vectors be, if the dot product of two null vectors becomes zero?

A) Moving in the same direction
B) Moving in opposite directions
C) Standing at right angles to one another
D) Null vectors

Topic: Vector Calculations in Physics

Correct Answer: C) Standing at right angles to one another

Short Hint:

The dot product of two vectors is zero when they are perpendicular to each other.
Therefore, the correct answer is C, "Standing at right angles to one another".

Question 11:

If the magnitude of a vector's rectangular components is equal, what is the angle it would make with the x-axis?

A) 30 degrees
B) 45 degrees
C) 60 degrees
D) 75 degrees

Topic: Vector Components in Physics

Correct Answer: B) 45 degrees

Short Hint:

When the magnitude of the rectangular components of a vector are equal, the angle it makes with the x-axis is 45 degrees.
This is because tan(45) = 1, which is only possible when the x and y components are equal.
Therefore, the correct answer is B, "45 degrees".

Question 12:

A force of 10N is acting at an angle of 30 degrees relative to the y-axis. What is the magnitude of the force's x-component?

A) 5 N
B) 8.66 N
C) 7.5 N
D) Zero

Topic: Force Vectors in Physics

Correct Answer: A) 5 N

Short Hint:

The x-component of a force can be found using the equation Fx = F * cos(θ), where θ is the angle relative to the y-axis.
In this case, Fx = 10N * cos(30) = 5N.
Therefore, the correct answer is A, "5 N".

Question 13:

If a force of 10N is exerted along the y-axis, what would be its component along the x-axis?

A) 10 N
B) 1 N
C) 50 N
D) Zero N

Topic: Force Vectors in Physics

Correct Answer: D) Zero N

Short Hint:

If a force is acting purely along the y-axis, its component along the x-axis is zero.
This is because the force has no horizontal component.
Therefore, the correct answer is D, "Zero N".

Question 14:

Which term is also used to describe 'Torque'?

A) Force arm
B) Force moment
C) Inertia moment
D) None of the above

Topic: Torque in Physics

Correct Answer: B) Force moment

Short Hint:

Torque, in physics, is also known as the 'moment of force'.
An object's rotation about an axis is measured by the force acting on it.
Hence, the correct answer is B, "Force moment".

Question 15:

When the cross product of two vectors, a and b, points in the direction of the positive z-axis, what is the relationship between a and b?

A) In the same line
B) At right angles to each other
C) In opposite directions
D) At an angle of 60 degrees

Topic: Cross Product in Physics

Correct Answer: B) At right angles to each other

Short Hint:

The cross product of two vectors points in the direction of the perpendicular to the plane containing them.
If the cross product points along the positive z-axis, the original vectors must have been perpendicular to each other.
Therefore, the correct answer is B, "At right angles to each other".

Question 16:

If the x-component (Rx) of a vector is positive and the y-component (Ry) is negative, in which quadrant does the resultant vector lie?

A) First quadrant
B) Second quadrant
C) Third quadrant
D) Fourth quadrant

Topic: Vector Components in Physics

Correct Answer: D) Fourth quadrant

Short Hint:

By determining the signs of the x and y components of a vector, we can determine which quadrant the vector will end up in.
Here, a positive Rx and negative Ry mean that the vector is pointing to the right (positive x-direction) and downward (negative y-direction), placing it in the fourth quadrant.
Therefore, the correct answer is D, "Fourth quadrant".

Question 17:

Typically, how is an anticlockwise torque perceived?

A) As a negative value
B) As zero
C) As a positive value
D) As the smallest possible value

Topic: Torque in Physics

Correct Answer: C) As a positive value

Short Hint:

In physics, torque that rotates objects in an anticlockwise direction is customarily regarded as positive.
This is in line with the right-hand rule used in physics.
Therefore, the correct answer is C, "As a positive value".

Question 18:

Given that the magnitude of the dot product of two vectors is 6√3 and their cross product is 6, what would be the angle between these vectors?

A) 10°
B) 30°
C) 60°
D) 90°

Topic: Vector Calculations in Physics

Correct Answer: B) 30°

Short Hint:

The relationship between the dot product, cross product, and the angle between two vectors can be used to solve this question.
By dividing the dot products of two vectors by the cross products, an angle can be calculated between them.
Therefore, the correct answer is B, "30°".

Question 19:

If two forces, one of 4 dyne and the other of 3 dyne, act on a body, what is the possible range for the resultant force on the body?

A) More than 4 dynes
B) Between 1 and 7 dynes
C) More than 3 dynes
D) Between 3 and 4 dynes

Topic: Force Calculations in Physics

Correct Answer: B) Between 1 and 7 dynes

Short Hint:

The resultant of two vectors ranges from the difference of their magnitudes to the sum of their magnitudes.
So in this case, the resultant force can range from 1 dyne to 7 dynes.
Therefore, the correct answer is B, "Between 1 and 7 dynes".

Question 20:

In which plane are two vectors positioned if their vector product is along the Z-axis?

A) YZ-plane
B) ZX-plane
C) XY-plane
D) None of these

Topic: Vector Calculations in Physics

Correct Answer: C) XY-plane

Short Hint:

A vector cross product is always perpendicular to the plane formed by two vectors in vector calculations.
If the vectors 'a' and 'b' produce a product aligned to the Z-axis, it implies that these vectors are in the plane perpendicular to the Z-axis, which is the XY-plane.
Therefore, the correct answer is C, "XY-plane".

Question 1:

Topic: Equilibrium States in Physics

Question 2:

Topic: Vector Quantities in Physics

Question 3:

Topic: Forces in Physics

Question 4:

Topic: Geometry in Physics

Question 5:

Topic: Center of Gravity in Physics

Question 6:

Topic: Torque in Physics

Question 7:

Topic: Vector in Physics

Question 8:

Topic: Vector Calculations in Physics

Question 9:

Topic: Torque in Physics

Question 10:

Topic: Vector Calculations in Physics

Question 11:

Topic: Vector Components in Physics

Question 12:

Topic: Force Vectors in Physics

Question 13:

Topic: Force Vectors in Physics

Question 14:

Topic: Torque in Physics

Question 15:

Topic: Cross Product in Physics

Question 16:

Topic: Vector Components in Physics

Question 17:

Topic: Torque in Physics

Question 18:

Topic: Vector Calculations in Physics

Question 19:

Topic: Force Calculations in Physics

Question 20:

Topic: Vector Calculations in Physics

Test Results