Concept explainers
(a)
To Write: The dimension of the constants
(a)
Answer to Problem 36P
The dimension of the constant
Explanation of Solution
Introduction:
Dimension of any physical quantity in physics tells about how any quantity is related to the fundamental quantities of mass, length and time. Dimensions of any quantity is determined by its definition.
Dimension of mass is
Unit can be defined as the definite amount of quantity used for standard of measurement. The standard of length is metre and similarly for time is second and for mass is kilogram.
Any two quantities having different dimensions can be multiplied but they cannot be added or subtracted. Dimension of two quantities must remain same during addition or subtraction but not during multiplication,
Write the expression for distance.
Here,
The dimension of x is
The dimension of t is
(b)
To Write: The dimension of the constant
(b)
Answer to Problem 36P
The dimension of the constant
Explanation of Solution
Introduction:
Dimension of any physical quantity in physics tells about how any quantity is related to the fundamental quantities of mass, length and time. Dimensions of any quantity is determined by its definition.
Dimension of mass is
Unit can be defined as the definite amount of quantity used for standard of measurement. The standard of length is metre and similarly for time is second and for mass is kilogram.
Any two quantities having different dimensions can be multiplied but they cannot be added or subtracted. Dimension of two quantities must remain same during addition or subtraction but not during multiplication,
Write the expression for distance.
Here,
The dimension of x is
(c)
To Write: The dimension of the constant
(c)
Answer to Problem 36P
The dimension of the constant
Explanation of Solution
Introduction:
Dimension of any physical quantity in physics tells about how any quantity is related to the fundamental quantities of mass, length and time. Dimensions of any quantity is determined by its definition.
Dimension of mass is
Unit can be defined as the definite amount of quantity used for standard of measurement. The standard of length is metre and similarly for time is second and for mass is kilogram.
Any two quantities having different dimensions can be multiplied but they cannot be added or subtracted. Dimension of two quantities must remain same during addition or subtraction but not during multiplication,
Write the expression for distance.
Here,
The dimension of x is
(d)
To Write: The dimension of the constants
(d)
Answer to Problem 36P
The dimension of
Explanation of Solution
Introduction:
Dimension of any physical quantity in physics tells about how any quantity is related to the fundamental quantities of mass, length and time. Dimensions of any quantity is determined by its definition.
Dimension of mass is
Unit can be defined as the definite amount of quantity used for standard of measurement. The standard of length is metre and similarly for time is second and for mass is kilogram.
Any two quantities having different dimensions can be multiplied but they cannot be added or subtracted. Dimension of two quantities must remain same during addition or subtraction but not during multiplication,
Write the expression for distance.
Here,
The dimension of x is
The dimension of t is
(e)
To Write: The dimension of the constants
(e)
Answer to Problem 36P
The dimension of the constant
Explanation of Solution
Introduction:
Dimension of any physical quantity in physics tells about how any quantity is related to the fundamental quantities of mass, length and time. Dimensions of any quantity is determined by its definition.
Dimension of mass is
Unit can be defined as the definite amount of quantity used for standard of measurement. The standard of length is metre and similarly for time is second and for mass is kilogram.
Any two quantities having different dimensions can be multiplied but they cannot be added or subtracted. Dimension of two quantities must remain same during addition or subtraction but not during multiplication,
Write the expression for distance.
Here,
The dimension of v is
The dimension of x is
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Chapter 1 Solutions
Physics for Scientists and Engineers, Vol. 3
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