Q. If a machine does 200 J of work in 5 seconds, what is its power? (2022)
A.
40 W
B.
50 W
C.
20 W
D.
30 W
Show solution
Solution
Power (P) = Work Done (W) / Time (t) = 200 J / 5 s = 40 W
Correct Answer:
B
— 50 W
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Q. If a machine does 2000 J of work in 5 seconds, what is its power output?
A.
200 W
B.
400 W
C.
500 W
D.
600 W
Show solution
Solution
Power = Work / Time = 2000 J / 5 s = 400 W.
Correct Answer:
B
— 400 W
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Q. If a machine does 2000 J of work in 5 seconds, what is its power? (2022)
A.
400 W
B.
200 W
C.
100 W
D.
500 W
Show solution
Solution
Power (P) = Work Done / Time = 2000 J / 5 s = 400 W
Correct Answer:
A
— 400 W
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Q. If a machine does 3000 J of work in 10 seconds, what is its power output?
A.
300 W
B.
150 W
C.
600 W
D.
1000 W
Show solution
Solution
Power (P) = Work (W) / Time (t) = 3000 J / 10 s = 300 W.
Correct Answer:
A
— 300 W
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Q. If a machine does 500 J of work in 10 seconds, what is its power output?
A.
50 W
B.
100 W
C.
200 W
D.
500 W
Show solution
Solution
Power is calculated using the formula P = W/t. Here, W = 500 J and t = 10 s. Thus, P = 500 J / 10 s = 50 W.
Correct Answer:
B
— 100 W
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Q. If a machine does 500 J of work in 10 seconds, what is its power?
A.
50 W
B.
100 W
C.
200 W
D.
500 W
Show solution
Solution
Power = Work / Time = 500 J / 10 s = 50 W.
Correct Answer:
A
— 50 W
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Q. If a machine does 500 Joules of work in 10 seconds, what is its power output?
A.
50 Watts
B.
100 Watts
C.
200 Watts
D.
500 Watts
Show solution
Solution
Power is calculated as work done divided by time taken. Here, Power = 500 J / 10 s = 50 W.
Correct Answer:
B
— 100 Watts
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Q. If a machine has a power output of 200 W, how much work can it do in 5 seconds? (2000)
A.
500 J
B.
1000 J
C.
1500 J
D.
2000 J
Show solution
Solution
Work done (W) = Power (P) × Time (t) = 200 W × 5 s = 1000 J.
Correct Answer:
B
— 1000 J
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Q. If a machine has an efficiency of 80% and it consumes 1000 J of energy, what is the useful work output?
A.
800 J
B.
1000 J
C.
200 J
D.
600 J
Show solution
Solution
Useful work output can be calculated using the formula: Useful Work = Efficiency * Input Energy. Here, Useful Work = 0.8 * 1000 J = 800 J.
Correct Answer:
A
— 800 J
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Q. If a machine has an efficiency of 80% and it does 400 J of useful work, how much energy was supplied to the machine? (2023)
A.
500 J
B.
400 J
C.
320 J
D.
600 J
Show solution
Solution
Efficiency = Useful Work / Total Energy Input. Total Energy Input = Useful Work / Efficiency = 400 J / 0.8 = 500 J.
Correct Answer:
A
— 500 J
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Q. If a magnetic field is applied perpendicular to a loop of wire, what is the effect on the induced EMF?
A.
It is maximum
B.
It is minimum
C.
It is zero
D.
It fluctuates
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Solution
When a magnetic field is applied perpendicular to a loop of wire, the magnetic flux through the loop is maximized, resulting in maximum induced EMF according to Faraday's law.
Correct Answer:
A
— It is maximum
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Q. If a magnetic field is directed into the page and a positive charge moves to the right, what is the direction of the magnetic force acting on the charge?
A.
Into the page
B.
Out of the page
C.
Upward
D.
Downward
Show solution
Solution
Using the right-hand rule, point your thumb in the direction of the velocity (to the right) and your fingers in the direction of the magnetic field (into the page). Your palm will face out of the page, indicating the direction of the force.
Correct Answer:
B
— Out of the page
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Q. If a magnetic field is increasing at a rate of 0.1 T/s, what is the induced EMF in a coil of 50 turns and area 0.2 m²? (2021)
A.
1 V
B.
0.5 V
C.
0.2 V
D.
0.1 V
Show solution
Solution
Induced EMF (ε) = -N * (dB/dt) * A = -50 * 0.1 T/s * 0.2 m² = -1 V.
Correct Answer:
A
— 1 V
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Q. If a magnetic field of 0.1 T is perpendicular to a circular loop of radius 0.1 m, what is the magnetic flux through the loop?
A.
0.01 Wb
B.
0.03 Wb
C.
0.1 Wb
D.
0.05 Wb
Show solution
Solution
Magnetic flux (Φ) = B * A = B * πr². Here, A = π(0.1)² = 0.01π m². Thus, Φ = 0.1 * 0.01π = 0.01π Wb ≈ 0.0314 Wb.
Correct Answer:
A
— 0.01 Wb
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Q. If a mass is measured as 75 kg with an error of 0.5 kg, what is the minimum possible mass?
A.
74.5 kg
B.
75 kg
C.
75.5 kg
D.
76 kg
Show solution
Solution
Minimum possible mass = Measured value - Error = 75 - 0.5 = 74.5 kg
Correct Answer:
A
— 74.5 kg
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Q. If a material exhibits a linear stress-strain relationship, what type of material is it likely to be?
A.
Brittle material
B.
Ductile material
C.
Elastic material
D.
Plastic material
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Solution
A linear stress-strain relationship indicates that the material behaves elastically within the limit of proportionality.
Correct Answer:
C
— Elastic material
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Q. If a material exhibits plastic deformation, which of the following is true?
A.
It returns to its original shape after the load is removed
B.
It does not return to its original shape after the load is removed
C.
It behaves like a perfect elastic material
D.
It has a very high Young's modulus
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Solution
Plastic deformation means that the material does not return to its original shape after the load is removed.
Correct Answer:
B
— It does not return to its original shape after the load is removed
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Q. If a material has a high shear modulus, what does it imply about the material?
A.
It is very flexible
B.
It is very stiff against shear forces
C.
It is very brittle
D.
It is very ductile
Show solution
Solution
A high shear modulus indicates that the material is very stiff and resists shear deformation.
Correct Answer:
B
— It is very stiff against shear forces
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Q. If a material has a high shear modulus, what does it indicate about the material? (2023)
A.
It is very elastic
B.
It is very ductile
C.
It resists shear deformation
D.
It is very brittle
Show solution
Solution
A high shear modulus indicates that the material resists shear deformation.
Correct Answer:
C
— It resists shear deformation
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Q. If a material has a Poisson's ratio of 0.3, what does this imply about its behavior under stress?
A.
It expands laterally
B.
It contracts laterally
C.
It does not change shape
D.
It becomes brittle
Show solution
Solution
A Poisson's ratio of 0.3 indicates that the material will contract laterally when stretched.
Correct Answer:
B
— It contracts laterally
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Q. If a material has a Poisson's ratio of 0.3, what does this imply about its lateral strain when subjected to axial strain?
A.
Lateral strain is equal to axial strain
B.
Lateral strain is 0.3 times the axial strain
C.
Lateral strain is 3 times the axial strain
D.
Lateral strain is independent of axial strain
Show solution
Solution
A Poisson's ratio of 0.3 means that the lateral strain is 0.3 times the axial strain.
Correct Answer:
B
— Lateral strain is 0.3 times the axial strain
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Q. If a material has a Poisson's ratio of 0.3, what does this imply?
A.
It expands laterally when stretched
B.
It contracts laterally when stretched
C.
It has no lateral strain
D.
It is incompressible
Show solution
Solution
A Poisson's ratio of 0.3 implies that the material contracts laterally when stretched.
Correct Answer:
B
— It contracts laterally when stretched
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Q. If a material has a shear modulus of 80 GPa and a shear stress of 40 MPa is applied, what is the shear strain? (2023)
A.
0.0005
B.
0.005
C.
0.5
D.
0.05
Show solution
Solution
Shear strain (γ) = Shear stress (τ) / Shear modulus (G) = 40 MPa / 80 GPa = 0.0005.
Correct Answer:
A
— 0.0005
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Q. If a material has a Young's modulus of 200 GPa, what does this indicate?
A.
It is very elastic
B.
It is very brittle
C.
It is very ductile
D.
It is very plastic
Show solution
Solution
A high Young's modulus indicates that the material is very elastic.
Correct Answer:
A
— It is very elastic
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Q. If a material is stretched beyond its elastic limit, what happens?
A.
It returns to its original shape
B.
It undergoes permanent deformation
C.
It becomes stronger
D.
It becomes weaker
Show solution
Solution
When a material is stretched beyond its elastic limit, it undergoes permanent deformation and does not return to its original shape.
Correct Answer:
B
— It undergoes permanent deformation
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Q. If a matrix has more columns than rows, it is called a: (2022)
A.
Row matrix
B.
Column matrix
C.
Rectangular matrix
D.
Square matrix
Show solution
Solution
A matrix with more columns than rows is referred to as a rectangular matrix.
Correct Answer:
C
— Rectangular matrix
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Q. If a matrix is both upper triangular and lower triangular, what type of matrix is it? (2020)
A.
Zero matrix
B.
Identity matrix
C.
Diagonal matrix
D.
Square matrix
Show solution
Solution
A matrix that is both upper and lower triangular must have non-zero elements only on the diagonal, making it a diagonal matrix.
Correct Answer:
C
— Diagonal matrix
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Q. If a matrix is diagonal, what can be said about its non-diagonal elements? (2020)
A.
They are all zero
B.
They are all one
C.
They can be any value
D.
They are negative
Show solution
Solution
In a diagonal matrix, all non-diagonal elements are zero.
Correct Answer:
A
— They are all zero
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Q. If a matrix is diagonal, which of the following must be true? (2020)
A.
All elements are zero
B.
Only diagonal elements are non-zero
C.
All elements are equal
D.
It is a square matrix
Show solution
Solution
A diagonal matrix has non-zero elements only on its main diagonal, while all other elements are zero.
Correct Answer:
B
— Only diagonal elements are non-zero
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Q. If a matrix is said to be orthogonal, what property does it have?
A.
All elements are zero
B.
Transpose is equal to its inverse
C.
All diagonal elements are equal
D.
It is a square matrix
Show solution
Solution
An orthogonal matrix is defined as a square matrix whose transpose is equal to its inverse.
Correct Answer:
B
— Transpose is equal to its inverse
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