M-Test-2

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Question 1:

How much is 1° in radians?

A) 0.01745 radian
B) 1 radian
C) 3.14 radian
D) 2π radian

Topic: Angle Conversion - Degrees to Radians

Correct Answer: A) 0.01745 radian

Short Hint:

When converting degrees to radians, we employ a specific conversion factor.
A single degree is equivalent to π/180 radians.
Therefore, the correct answer is A, "0.01745 radian".

Question 2:

What can be stated about the dimensionality of wave numbers?

A) They are dimensionless.
B) They have a dimension of L-1.
C) They possess a dimension of L.
D) They are given in m-1.

Topic: Wave Physics - Wave Numbers

Correct Answer: B) They have a dimension of L-1.

Short Hint:

Wave numbers are a fundamental attribute of wave physics.
The unit of wave numbers is expressed as m-1, corresponding to a dimension of L-1.
Hence, the correct response is B, "They have a dimension of L-1".

Question 3:

Which of these is not classified as a standard SI base unit?

A) Newton
B) Meter
C) Candela
D) Mole

Topic: SI Units - Base and Derived Units

Correct Answer: A) Newton

Short Hint:

The SI system consists of seven base units including meter, candela, and mole.
The Newton is a derived unit in the SI system, not a base unit.
Therefore, A, "Newton", is the correct answer.

Question 4:

What is the angle in radians between the hands of a clock at 5 o'clock in the afternoon?

A) 1 radian
B) 2.6 radian
C) 4 radian
D) 5 radian

Topic: Trigonometry - Clock Angles

Correct Answer: B) 2.6 radian

Short Hint:

At 5 PM, the hands of a clock form an angle corresponding to 5/12 of a full circle.
Converting this angle into radians gives us approximately 2.618 radians.
Hence, B, "2.6 radian", is the correct answer.

Question 5:

In a measurement scenario, (3.76 + 0.25) meters is measured. What is the percentage uncertainty in this measurement?

A) 4%
B) 6.6%
C) 25%
D) 376%

Topic: Measurement Uncertainty

Correct Answer: B) 6.6%

Short Hint:

Percentage uncertainty is calculated by the ratio of the uncertainty to the measurement times 100.
For the measurement of 3.76 meters with an uncertainty of 0.25 meters, this equals 6.6%.
Thus, B, "6.6%", is the correct answer.

Question 6:

What is the dimension of energy efficiency?

A) 1
B) ML²T⁻²
C) ML²T⁻³
D) None of the above.

Topic: Energy Efficiency - Dimensionless Quantities

Correct Answer: A) 1

Short Hint:

Energy efficiency is a ratio, inherently dimensionless, representing output to input energy.
Dimensionless quantities such as refractive index also share this property.
Thus, the correct dimension of energy efficiency is 1.

Question 7:

If power is the product of 'muscle' and speed, what does 'muscle' represent in this context?

A) Force
B) Power
C) Energy
D) Momentum

Topic: Mechanics - Power and Force

Correct Answer: A) Force

Short Hint:

In physics, power is calculated as force times distance per unit time.
'Muscle' is a metaphorical term for force in this context.
So the correct representation for 'muscle' is force.

Question 8:

Which type of error is most likely to be influenced by a change in your measurement tool?

A) Random error
B) Systematic error
C) Both of them
D) None of the above.

Topic: Measurement and Errors

Correct Answer: B) Systematic error

Short Hint:

Systematic errors are consistent and often related to measurement tools.
Random errors are unpredictable and not typically influenced by the instrument.
Changing the measurement tool can impact systematic errors.

Question 9:

Given that a square plate's length increases by 1% due to temperature changes, what would be the percent error in the area of the square?

A) 1%
B) 2%
C) 3%
D) 4%

Topic: Geometry - Area Calculation

Correct Answer: B) 2%

Short Hint:

The area of a square is the length squared.
A 1% increase in length results in a 2% increase in area due to the squaring relation.
Therefore, the percent error in the area would be 2%.

Question 10:

What is the representation of frequency in terms of base units?

A) Hz
B) 1/s²
C) 1/s
D) Frequency is a dimensionless unit.

Topic: Waves - Frequency Measurement

Correct Answer: C) 1/s

Short Hint:

Frequency is defined as the number of cycles per unit time, which is the inverse of the time period.
The base unit representation for frequency is 1/s.
While frequency is measured in Hertz (Hz), it is fundamentally 1/second in SI base units.

Question 11:

What does the rule of homogeneity of dimensions validate?

A) Only the variables in the equation
B) Only the constants in the equation
C) Both constants and variables in the equation
D) The accuracy of an equation

Topic: Dimensional Analysis - Homogeneity Rule

Correct Answer: D) The accuracy of an equation

Short Hint:

This principle ensures that only terms with the same dimensions can be equated, validating the equation's dimensional consistency.

Question 12:

How can human error be most accurately classified?

A) Random Error
B) Systematic Error
C) Absolute error
D) All of the above.

Topic: Error Analysis - Types of Errors

Correct Answer: A) Random Error

Short Hint:

Human errors such as misreading or incorrectly recording measurements can vary in an unpredictable manner, hence they are classified as random errors.

Question 13:

The dimensions of Planck’s constant align with which of the following?

A) Work
B) Magnetic Intensity
C) Linear Momentum
D) Angular Momentum

Topic: Quantum Mechanics - Planck’s Constant

Correct Answer: D) Angular Momentum

Short Hint:

Planck’s constant has the dimensions of energy times time, analogous to the dimensions of angular momentum.

Question 14:

Can you arrange the following prefixes in ascending order of their values?

A) Pico, Mega, Kilo, Giga
B) Mega, Giga, Pico, Micro
C) Mega, Giga, Pico, Kilo
D) Pico, Micro, Mega, Giga

Topic: Metric Prefixes - Order of Magnitude

Correct Answer: D) Pico, Micro, Mega, Giga

Short Hint:

Prefixes are ordered from smallest to largest magnitude, starting with Pico (10^-12), Micro (10^-6), Mega (10^6), and ending with Giga (10^9).

Question 15:

What is the dimension of a solid angle?

A) 1
B) M
C) S
D) 0

Topic: Dimensional Analysis - Solid Angle

Correct Answer: A) 1

Short Hint:

A solid angle is a dimensionless unit, which is why its dimensional representation is 1.

Question 16:

Which metric prefix corresponds to 0.000001?

A) Hector
B) Micro
C) Deka
D) Nano

Topic: Metric Prefixes

Correct Answer: B) Micro

Step-by-step Hints:

Familiarize yourself with common metric prefixes and their corresponding values.
For example, Giga denotes 10^9, Mega signifies 10^6, Kilo represents 10^3, and so on.
In this case, Micro corresponds to 10^-6, which equals 0.000001.

Question 17:

In terms of thermodynamics, what unit is used for measuring temperature (SI)?

A) Centigrade
B) Fahrenheit
C) Both Centigrade and Fahrenheit
D) All of the above
E) None of the above

Topic: SI Units - Temperature

Correct Answer: E) None of the above

Guided Explanation:

The International System of Units (SI) uses Kelvin (K) as the unit for temperature in thermodynamics.
Neither Centigrade nor Fahrenheit is used within this system for measuring temperature.

Question 18:

Which atomic clock is considered the most accurate?

A) Carbon-12 clock
B) Carbon atom clock
C) Caesium atom clock
D) Stop clock

Topic: Atomic Clocks

Correct Answer: C) Caesium atom clock

Step-by-step Hints:

Among the options, the atomic clock using the Caesium 133 atom is considered the most accurate.
Carbon-12 or any other atom is not typically used in the construction of an atomic clock.

Question 19:

Why is repetition of experiments suggested when utilizing measurement instruments? Which kind of error does repetition aim to reduce?

A) Random error
B) Systematic error
C) Both of them
D) None of the above

Topic: Experimental Errors

Correct Answer: A) Random error

Helpful Explanation:

Repetition of experiments is often suggested to reduce the impact of random errors, which are unpredictable and inconsistent.
Note that repetition does not affect systematic errors. To minimize these, one should either recalibrate or replace the instrument used.

Question 20:

If you have two measurements, one with a fractional uncertainty of 0.04 and the other with 0.02, which one would you consider more precise?

A) The measurement with 0.04 uncertainty
B) The measurement with 0.02 uncertainty
C) Both have the same degree of accuracy
D) It's impossible to determine

Topic: Measurement Precision

Correct Answer: B) The measurement with 0.02 uncertainty

Helpful Hints:

The accuracy of a measurement is inversely proportional to its fractional or percentage uncertainty.
Therefore, between two measurements, the one with the lower fractional uncertainty is considered more accurate.

Question 1:

Topic: Angle Conversion - Degrees to Radians

Question 2:

Topic: Wave Physics - Wave Numbers

Question 3:

Topic: SI Units - Base and Derived Units

Question 4:

Topic: Trigonometry - Clock Angles

Question 5:

Topic: Measurement Uncertainty

Question 6:

Topic: Energy Efficiency - Dimensionless Quantities

Question 7:

Topic: Mechanics - Power and Force

Question 8:

Topic: Measurement and Errors

Question 9:

Topic: Geometry - Area Calculation

Question 10:

Topic: Waves - Frequency Measurement

Question 11:

Topic: Dimensional Analysis - Homogeneity Rule

Question 12:

Topic: Error Analysis - Types of Errors

Question 13:

Topic: Quantum Mechanics - Planck’s Constant

Question 14:

Topic: Metric Prefixes - Order of Magnitude

Question 15:

Topic: Dimensional Analysis - Solid Angle

Question 16:

Topic: Metric Prefixes

Question 17:

Topic: SI Units - Temperature

Question 18:

Topic: Atomic Clocks

Question 19:

Topic: Experimental Errors

Question 20:

Topic: Measurement Precision

Test Results