Q. In a lottery, there are 10 tickets, and 3 are winning tickets. What is the probability of picking a winning ticket? (2022)
A.
1/3
B.
1/4
C.
1/5
D.
1/2
Show solution
Solution
Probability = Number of winning tickets / Total tickets = 3/10.
Correct Answer:
A
— 1/3
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Q. In a lottery, there are 10 tickets, and 3 of them are winning tickets. If one ticket is drawn at random, what is the probability that it is a winning ticket?
A.
1/10
B.
1/3
C.
3/10
D.
7/10
Show solution
Solution
The probability of drawing a winning ticket is 3/10.
Correct Answer:
C
— 3/10
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Q. In a lottery, there are 10 tickets, and 3 of them are winning tickets. What is the probability of selecting a winning ticket?
A.
1/10
B.
3/10
C.
1/3
D.
1/5
Show solution
Solution
The probability of selecting a winning ticket is the number of winning tickets divided by the total number of tickets, which is 3/10.
Correct Answer:
B
— 3/10
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Q. In a lottery, there are 10 tickets, of which 2 are winning tickets. What is the probability of selecting a winning ticket?
A.
1/5
B.
1/10
C.
1/2
D.
2/10
Show solution
Solution
The probability of selecting a winning ticket is the number of winning tickets divided by the total number of tickets, which is 2/10 = 1/5.
Correct Answer:
B
— 1/10
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Q. In a lottery, there are 10 tickets, of which 3 are winning tickets. What is the probability of selecting a winning ticket?
A.
1/10
B.
1/3
C.
3/10
D.
7/10
Show solution
Solution
The probability of selecting a winning ticket is the number of winning tickets divided by the total number of tickets, which is 3/10.
Correct Answer:
C
— 3/10
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Q. In a lottery, there are 100 tickets and 10 winning tickets. What is the probability of picking a winning ticket? (2023)
A.
1/10
B.
1/5
C.
1/20
D.
1/50
Show solution
Solution
Probability of winning = 10/100 = 1/10.
Correct Answer:
A
— 1/10
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Q. In a lottery, there are 100 tickets, and 10 of them are winning tickets. If one ticket is drawn at random, what is the probability that it is a winning ticket?
A.
1/10
B.
1/5
C.
1/20
D.
1/50
Show solution
Solution
The probability of drawing a winning ticket = Number of winning tickets / Total tickets = 10/100 = 1/10.
Correct Answer:
A
— 1/10
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Q. In a lottery, there are 100 tickets, and 10 of them are winning tickets. What is the probability of selecting a winning ticket?
A.
1/10
B.
1/5
C.
1/20
D.
1/50
Show solution
Solution
The probability of selecting a winning ticket is the number of winning tickets divided by the total number of tickets, which is 10/100 = 1/10.
Correct Answer:
A
— 1/10
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Q. In a magnetic field, the direction of the magnetic force on a charged particle is given by which rule?
A.
Right-hand rule
B.
Left-hand rule
C.
Fleming's right-hand rule
D.
Fleming's left-hand rule
Show solution
Solution
The direction of the magnetic force on a charged particle moving in a magnetic field is determined by the right-hand rule.
Correct Answer:
A
— Right-hand rule
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Q. In a magnetic field, the force on a charged particle is maximum when the angle between the velocity and the magnetic field is: (2019)
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
45 degrees
Show solution
Solution
The force on a charged particle in a magnetic field is maximum when the angle between the velocity and the magnetic field is 90 degrees.
Correct Answer:
B
— 90 degrees
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Q. In a magnetic field, the force on a charged particle is maximum when the particle's velocity is:
A.
Parallel to the field
B.
Perpendicular to the field
C.
At an angle of 45 degrees
D.
At an angle of 90 degrees
Show solution
Solution
The magnetic force on a charged particle is given by F = qvB sin(θ), which is maximum when θ = 90 degrees (perpendicular).
Correct Answer:
B
— Perpendicular to the field
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Q. In a magnetic field, the force on a charged particle is zero when it moves:
A.
Perpendicular to the field
B.
Parallel to the field
C.
At an angle of 30 degrees
D.
At an angle of 90 degrees
Show solution
Solution
The magnetic force on a charged particle is zero when it moves parallel to the magnetic field, as the angle θ = 0° results in sin(θ) = 0.
Correct Answer:
B
— Parallel to the field
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Q. In a material with a resistivity of 2 x 10^-8 Ω·m, what is the resistance of a 10 m long wire with a cross-sectional area of 1 mm²?
A.
0.02 Ω
B.
0.2 Ω
C.
2 Ω
D.
20 Ω
Show solution
Solution
Resistance R = ρ(L/A) = 2 x 10^-8 * (10 / (1 x 10^-6)) = 0.2 Ω.
Correct Answer:
B
— 0.2 Ω
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Q. In a material with a resistivity of 2 x 10^-8 Ω·m, what is the resistance of a 3 m long wire with a cross-sectional area of 1 mm²?
A.
0.006 Ω
B.
0.018 Ω
C.
0.024 Ω
D.
0.036 Ω
Show solution
Solution
Resistance R = ρ(L/A) = 2 x 10^-8 * (3 / (1 x 10^-6)) = 0.024 Ω.
Correct Answer:
C
— 0.024 Ω
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Q. In a material, if the strain energy density is given by U, what is the expression for the total strain energy stored in a volume V of the material?
A.
U * V
B.
U / V
C.
U + V
D.
U - V
Show solution
Solution
The total strain energy stored in a volume V is given by the product of strain energy density U and volume V, i.e., Total Energy = U * V.
Correct Answer:
A
— U * V
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Q. In a material, if the strain is 0.01 and the Young's modulus is 200 GPa, what is the stress in the material?
A.
2 MPa
B.
20 MPa
C.
200 MPa
D.
2000 MPa
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Solution
Stress = Young's modulus * strain = 200 GPa * 0.01 = 2 GPa = 2000 MPa.
Correct Answer:
C
— 200 MPa
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Q. In a mathematical context, what does the term 'algorithm' refer to?
A.
A type of geometric shape
B.
A step-by-step procedure for calculations
C.
A statistical method for data analysis
D.
A theorem in number theory
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Solution
An algorithm is defined as a step-by-step procedure for calculations, widely used in various fields of mathematics and computer science.
Correct Answer:
B
— A step-by-step procedure for calculations
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Q. In a measurement, if the error is systematic, what can be said about the results? (2020)
A.
They are random
B.
They are biased
C.
They are accurate
D.
They are precise
Show solution
Solution
Systematic errors lead to biased results, consistently deviating from the true value.
Correct Answer:
B
— They are biased
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Q. In a measurement, if the error is systematic, what does it indicate? (2020)
A.
Random fluctuations
B.
Consistent bias
C.
Human error
D.
Instrument malfunction
Show solution
Solution
Systematic errors indicate a consistent bias in measurements.
Correct Answer:
B
— Consistent bias
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Q. In a measurement, if the precision is high, it means: (2019)
A.
The measurements are close to the true value
B.
The measurements are consistent with each other
C.
The measurements have low uncertainty
D.
The measurements are accurate
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Solution
High precision indicates that repeated measurements yield similar results.
Correct Answer:
B
— The measurements are consistent with each other
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Q. In a measurement, if the systematic error is known, how can it be corrected? (2020)
A.
By averaging multiple readings
B.
By subtracting the error from the measured value
C.
By ignoring the error
D.
By taking more measurements
Show solution
Solution
Systematic errors can be corrected by subtracting the known error from the measured value.
Correct Answer:
B
— By subtracting the error from the measured value
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Q. In a measurement, if the uncertainty is ±0.1 g, what does it indicate? (2023)
A.
The measurement is exact
B.
The measurement can vary by 0.1 g
C.
The measurement is inaccurate
D.
The measurement is precise
Show solution
Solution
An uncertainty of ±0.1 g indicates that the measurement can vary by 0.1 g from the reported value.
Correct Answer:
B
— The measurement can vary by 0.1 g
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Q. In a measurement, if the uncertainty is ±0.5 cm, what is the range of the measurement 10.0 cm? (2023)
A.
9.5 cm to 10.5 cm
B.
9.0 cm to 11.0 cm
C.
10.0 cm to 10.5 cm
D.
10.0 cm to 11.0 cm
Show solution
Solution
The range is calculated as (10.0 - 0.5) cm to (10.0 + 0.5) cm, which is 9.5 cm to 10.5 cm.
Correct Answer:
A
— 9.5 cm to 10.5 cm
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Q. In a measurement, if the value is reported as 3.00 kg, how many significant figures are there? (2019)
Show solution
Solution
The number 3.00 kg has three significant figures.
Correct Answer:
B
— 3
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Q. In a Michelson interferometer, what happens to the fringe pattern if one of the mirrors is moved away from the beam splitter? (2020)
A.
Fringe pattern moves to the left
B.
Fringe pattern moves to the right
C.
Fringe pattern disappears
D.
Fringe pattern becomes brighter
Show solution
Solution
Moving one mirror changes the path length, causing the fringe pattern to shift to the right.
Correct Answer:
B
— Fringe pattern moves to the right
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Q. In a Michelson interferometer, what happens to the interference pattern if one of the mirrors is moved?
A.
The pattern disappears
B.
The pattern shifts
C.
The pattern becomes brighter
D.
The pattern becomes dimmer
Show solution
Solution
Moving one of the mirrors changes the path length of one beam, causing a shift in the interference pattern.
Correct Answer:
B
— The pattern shifts
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Q. In a Michelson interferometer, what happens to the interference pattern if one of the mirrors is moved away from the beam splitter?
A.
Fringes move closer
B.
Fringes move apart
C.
Fringes disappear
D.
No change in pattern
Show solution
Solution
Moving one mirror changes the path length of one beam, causing the fringes to move apart or closer depending on the direction of movement.
Correct Answer:
B
— Fringes move apart
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Q. In a Michelson interferometer, what happens to the interference pattern if one of the mirrors is moved slightly?
A.
The pattern remains unchanged
B.
The pattern shifts
C.
The pattern disappears
D.
The pattern becomes brighter
Show solution
Solution
Moving one of the mirrors changes the path length for one of the beams, causing a shift in the interference pattern.
Correct Answer:
B
— The pattern shifts
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Q. In a Michelson interferometer, what happens when one of the mirrors is moved slightly?
A.
No change in interference pattern
B.
Fringes shift
C.
Fringes disappear
D.
Fringes become brighter
Show solution
Solution
Moving one of the mirrors changes the path length, causing a shift in the interference pattern (fringes).
Correct Answer:
B
— Fringes shift
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Q. In a mixed graph showing sales data for four products (A, B, C, D) over three months, which product had the highest sales in March?
A.
Product A
B.
Product B
C.
Product C
D.
Product D
Show solution
Solution
Product B had the highest sales in March with 150 units sold.
Correct Answer:
B
— Product B
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