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Which expression does not have second as base unit . A)1/frequency b)capacitance ×resistance c)mass=spring constant?
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Which expression does not have second as base unit . A)1/frequency b)c...
Introduction:
In this response, we will analyze three expressions and determine which one does not have the second as the base unit. The three expressions are: 1) 1/frequency, 2) capacitance × resistance, and 3) mass = spring constant.
Analysis:
To determine which expression does not have the second as the base unit, we need to consider the units of each expression individually.
Expression 1: 1/frequency
The unit for frequency is hertz (Hz), which is defined as cycles per second. In this expression, we are taking the reciprocal of the frequency, which means we are dividing 1 by the frequency. Dividing a unitless quantity (1) by a quantity with the unit of seconds (frequency) results in a unit of inverse seconds, denoted as 1/s or s^-1. Since the base unit for time is the second, this expression has the second as the base unit.
Expression 2: capacitance × resistance
Capacitance is measured in farads (F), and resistance is measured in ohms (Ω). When we multiply these two quantities together, we get a unit of farads times ohms, denoted as F·Ω. This unit is equivalent to coulombs per volt (C/V) since 1 ohm is equal to 1 volt per ampere. The base units for charge and voltage are coulombs and volts, respectively, and neither of them is the second. Therefore, this expression does not have the second as the base unit.
Expression 3: mass = spring constant
Mass is measured in kilograms (kg), and the spring constant is measured in newtons per meter (N/m). In this expression, we are equating mass to the spring constant. Equating two quantities means they must have the same unit. Since the unit for mass is kilograms and the unit for the spring constant is newtons per meter, these two quantities do not have the same unit and cannot be equated. Therefore, this expression is not physically meaningful.
Conclusion:
Based on the analysis, the expression that does not have the second as the base unit is capacitance × resistance.
In this response, we will analyze three expressions and determine which one does not have the second as the base unit. The three expressions are: 1) 1/frequency, 2) capacitance × resistance, and 3) mass = spring constant.
Analysis:
To determine which expression does not have the second as the base unit, we need to consider the units of each expression individually.
Expression 1: 1/frequency
The unit for frequency is hertz (Hz), which is defined as cycles per second. In this expression, we are taking the reciprocal of the frequency, which means we are dividing 1 by the frequency. Dividing a unitless quantity (1) by a quantity with the unit of seconds (frequency) results in a unit of inverse seconds, denoted as 1/s or s^-1. Since the base unit for time is the second, this expression has the second as the base unit.
Expression 2: capacitance × resistance
Capacitance is measured in farads (F), and resistance is measured in ohms (Ω). When we multiply these two quantities together, we get a unit of farads times ohms, denoted as F·Ω. This unit is equivalent to coulombs per volt (C/V) since 1 ohm is equal to 1 volt per ampere. The base units for charge and voltage are coulombs and volts, respectively, and neither of them is the second. Therefore, this expression does not have the second as the base unit.
Expression 3: mass = spring constant
Mass is measured in kilograms (kg), and the spring constant is measured in newtons per meter (N/m). In this expression, we are equating mass to the spring constant. Equating two quantities means they must have the same unit. Since the unit for mass is kilograms and the unit for the spring constant is newtons per meter, these two quantities do not have the same unit and cannot be equated. Therefore, this expression is not physically meaningful.
Conclusion:
Based on the analysis, the expression that does not have the second as the base unit is capacitance × resistance.
Community Answer
Which expression does not have second as base unit . A)1/frequency b)c...
I think, option (c) and (b) both are correct. There is no requirement of second as base unit in MASS. Spring constant depends mainly on x. moreover, same thing with resistance and capacitance.
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Which expression does not have second as base unit . A)1/frequency b)capacitance ×resistance c)mass=spring constant?
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Which expression does not have second as base unit . A)1/frequency b)capacitance ×resistance c)mass=spring constant? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Which expression does not have second as base unit . A)1/frequency b)capacitance ×resistance c)mass=spring constant? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which expression does not have second as base unit . A)1/frequency b)capacitance ×resistance c)mass=spring constant?.
Which expression does not have second as base unit . A)1/frequency b)capacitance ×resistance c)mass=spring constant? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Which expression does not have second as base unit . A)1/frequency b)capacitance ×resistance c)mass=spring constant? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which expression does not have second as base unit . A)1/frequency b)capacitance ×resistance c)mass=spring constant?.
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