NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Mechanical Properties of Fluids
NEET · Physics · Mechanical Properties of Fluids
Given below are two statements: one is labelled as Assertion (A)...
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): In a horizontal venturi-meter, the fluid pressure is minimum at the narrowest cross-section (throat).
Reason (R): According to the equation of continuity, fluid velocity is maximum at the narrowest cross-section, and by Bernoulli's principle, an increase in velocity is accompanied by a decrease in pressure.
In the light of the above statements, choose the most appropriate answer from the options given below:
Assertion (A): In a horizontal venturi-meter, the fluid pressure is minimum at the narrowest cross-section (throat).
Reason (R): According to the equation of continuity, fluid velocity is maximum at the narrowest cross-section, and by Bernoulli's principle, an increase in velocity is accompanied by a decrease in pressure.
In the light of the above statements, choose the most appropriate answer from the options given below:
Options
- ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
- BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
- C(A) is correct but (R) is not correct
- D(A) is not correct but (R) is correct
Correct answer
A. Both (A) and (R) are correct and (R) is the correct explanation of (A)
Step-by-step solution
For an incompressible fluid flowing through a horizontal pipe, the equation of continuity states that . At the narrowest cross-section (throat), the area is minimum, so the fluid velocity is maximum.
According to Bernoulli's principle for a horizontal flow, .
Since the velocity is maximum at the throat, the pressure must be minimum to keep the sum constant. Therefore, both Assertion and Reason are correct, and the Reason correctly explains the Assertion.
Answer: Both (A) and (R) are correct and (R) is the correct explanation of (A)
According to Bernoulli's principle for a horizontal flow, .
Since the velocity is maximum at the throat, the pressure must be minimum to keep the sum constant. Therefore, both Assertion and Reason are correct, and the Reason correctly explains the Assertion.
Answer: Both (A) and (R) are correct and (R) is the correct explanation of (A)