6. (A) The pressure exerted by a force of 500 N on an area of \(10\ \mathrm{m}^2\) is 50 Pa.
(R) Pressure is calculated as the ratio of force to the area over which the force is applied, and its SI unit is pascal (Pa), where \(1\,\mathrm{Pa}=1\,\mathrm{N/m^2}\).
Key Concept: Pressure, SI Unit of Pressure: Pascal
a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
To verify the assertion, let's calculate the pressure using the given values:
Given: Force = 500 N, Area = 10 m\textsuperscript{2}.
Pressure = $\frac{Force}{Area} = \frac{500\,N}{10\,m^2} = 50\,N/m^2 = 50\,Pa$.
Thus, the assertion is correct.
The reason states the definition of pressure and its SI unit, which is also correct. Moreover, it correctly explains how pressure is derived from force and area, justifying the assertion. Therefore, both the assertion and reason are true, and the reason correctly explains the assertion.
Your Answer is correct.
a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
To verify the assertion, let's calculate the pressure using the given values:
Given: Force = 500 N, Area = 10 m\textsuperscript{2}.
Pressure = $\frac{Force}{Area} = \frac{500\,N}{10\,m^2} = 50\,N/m^2 = 50\,Pa$.
Thus, the assertion is correct.
The reason states the definition of pressure and its SI unit, which is also correct. Moreover, it correctly explains how pressure is derived from force and area, justifying the assertion. Therefore, both the assertion and reason are true, and the reason correctly explains the assertion.