SI Units: Base and Derived

Which of the following derived units is equivalent to the base SI units of $kg \cdot m^2 \cdot s^{-2}$?

Given that thermal conductivity is measured in $W/(m \cdot K)$, which of the following correctly expresses this unit in terms of base SI units?

Consider a scenario where you need to calculate the energy required to raise the temperature of a substance. Which unit would be most appropriate for expressing the specific heat capacity of that substance?

If a physics equation results in an answer with units of $N \cdot kg^{-1}$, what physical quantity does this likely represent?

In the context of rotational motion, which unit is appropriate for quantifying angular acceleration?

A student calculates a value with the units of $kg \cdot m^{-3}$. Which physical quantity has the student calculated?

Which of the following quantities shares the same derived unit as 'Work'?

If a quantity is measured in $m \cdot s^{-1}$, what is being measured?

When analyzing the behavior of materials under stress, which quantity is appropriately measured in Newtons per square metre ($N \cdot m^{-2}$)?

Which quantity is measured in $Hz$?

Which of the following pairs of physical quantities have the same derived units?

If a new physical quantity, 'Z', is defined by the equation $Z = \frac{Force}{Area \times Velocity}$, what would be the correct derived unit for Z?

Suppose a scientist discovers a new force and determines its magnitude is related to momentum (p) and time (t) by the equation $Force = \frac{p}{t^n}$. What value of 'n' makes this equation dimensionally consistent?

Consider a hypothetical scenario where 'impulse' is defined as the change in 'jerk' over time. If jerk is the rate of change of acceleration, what would be the appropriate derived unit for this 'impulse'?

Imagine a novel physical quantity called 'energy flux density' defined as energy per unit area per unit time. What derived unit accurately represents 'energy flux density'?

Suppose 'action' is defined as Energy Time. Which of the following represents the correct derived unit for 'action'?

Given the equation, $K = \frac{Stress \times Volume}{Area}$, what are the units of $K$?

Considering the relationship between gravitational potential energy (U), mass (m), and gravitational potential (V) as U = mV, determine the appropriate units for gravitational potential (V).

If a physical quantity 'Q' is defined as $Q = \frac{Power}{Volume \times Angular \hspace{0.1cm} Velocity}$, what is the derived unit for 'Q'?

Suppose quantity 'X' is calculated using the formula $X = \frac{Thermal \hspace{0.1cm} Conductivity}{Area}$. What would be the derived units for quantity 'X'?

The derived unit for 'Gravitational Potential' is given as $J \cdot kg^{-1}$. Which combination of base SI units is equivalent to this?

A student measures 'Thermal Resistance' as the inverse of 'Thermal Conductivity.' What would be the appropriate derived unit for 'Thermal Resistance'?

Given that 'Stress' and 'Young's Modulus' share the same derived unit, what fundamental quantities are inherently related through this unit?

What combination of base SI units is equivalent to the derived unit of 'Power'?

If 'action potential' is defined as the rate of change of 'gravitational potential' with respect to time, what would be the derived unit for 'action potential'?

Given that 'Impulse' is the change in momentum, which of the following represents the correct derived unit for 'Impulse'?

A hypothetical quantity 'Gamma' is defined as the product of 'Pressure' and 'Volume'. What derived unit would accurately represent 'Gamma'?

Suppose a new quantity 'Q' is defined as $Q = rac{Torque}{Momentum}$. What derived unit accurately represents 'Q'?

If 'Elastic Potential Energy' is calculated using the formula $\frac{1}{2} \cdot Stress \cdot Strain \cdot Volume $, and 'Strain' is dimensionless, what derived unit would 'Elastic Potential Energy' have?

Given 'Gravitational Field Strength' shares the same derived unit as 'Acceleration', what does this imply about the relationship between these two physical quantities?

Given that 'Stress' is measured in $N \cdot m^{-2}$ and 'Strain' is dimensionless, what derived unit would accurately represent a quantity defined by $Stress^2 / Strain$?

If a physical quantity 'Z' is defined as $Z = rac{Power}{Area \cdot Velocity^2 }$, what would be the correct derived unit for Z?

Considering the relationship between 'Torque' ($\tau$), 'Moment of Inertia' (I), and 'Angular Acceleration' ($\alpha$) as $\tau = I \cdot \alpha$, what derived unit would fundamentally link 'Torque' and 'Angular Acceleration' if 'Moment of Inertia' were dimensionless?

If 'quantum action' is defined as the product of 'energy' and 'time period' and 'energy' is defined as $\frac{Force \cdot displacement}{time \cdot frequency}$, what is the derived unit of 'quantum action'?

Suppose a hypothetical quantity 'Omega' is defined as the square root of the product of 'Pressure' and 'Volume'. What derived unit would accurately represent 'Omega'?

Consider a scenario where 'Thermal Diffusivity' is defined as the ratio of 'Thermal Conductivity' to the product of 'Density' and 'Specific Heat Capacity'. What derived unit would accurately represent 'Thermal Diffusivity'?

Imagine constructing a novel quantity 'X' defined as $X = \frac{Momentum \cdot Angular \hspace{0.1cm} Velocity}{Area}$. What derived unit would accurately represent quantity 'X'?

Suppose a new physical quantity 'Z' is defined by the equation $Z = \frac{Force \cdot Velocity}{Power}$. What derived unit would accurately represent 'Z'?

If 'flux' is defined as the product of 'density' and 'velocity', which of the following represents the correct derived unit for 'flux'?

Imagine a novel physical quantity called 'specific angular momentum' defined as 'angular momentum' per unit mass. Given 'angular momentum' is defined as the product of 'moment of inertia' and 'angular velocity', what derived unit accurately represents 'specific angular momentum'?