NEET
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- NEET
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- Physics
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- 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): When an incompressible ideal fluid flows steadily through a horizontal pipe of varying cross-section, the fluid velocity is maximum at the narrowest part of the pipe.
Reason (R): According to Bernoulli's principle, for a steady horizontal flow of an ideal fluid, a region of higher fluid velocity is accompanied by a lower static pressure.
In the light of the above statements, choose the most appropriate answer from the options given below:
Assertion (A): When an incompressible ideal fluid flows steadily through a horizontal pipe of varying cross-section, the fluid velocity is maximum at the narrowest part of the pipe.
Reason (R): According to Bernoulli's principle, for a steady horizontal flow of an ideal fluid, a region of higher fluid velocity is accompanied by a lower static pressure.
In the light of the above statements, choose the most appropriate answer from the options given below:
Options
- ABoth Assertion (A) and Reason (R) are true and (R) is the correct explanation of (A).
- BBoth Assertion (A) and Reason (R) are true but (R) is not the correct explanation of (A).
- C(A) is true but (R) is false.
- D(A) is false but (R) is true.
Correct answer
B. Both Assertion (A) and Reason (R) are true but (R) is not the correct explanation of (A).
Step-by-step solution
Assertion (A) is true: According to the equation of continuity for an incompressible fluid, . The velocity of the fluid is inversely proportional to the cross-sectional area. Therefore, the fluid velocity is maximum at the narrowest part of the pipe where the area is minimum.
Reason (R) is true: Bernoulli's principle for a horizontal pipe states that . This implies that an increase in fluid velocity results in a decrease in static pressure.
However, Reason (R) is not the correct explanation for Assertion (A). The maximum velocity at the narrowest part is a direct consequence of the conservation of mass (equation of continuity), not the conservation of energy (Bernoulli's principle). Therefore, both (A) and (R) are true, but (R) does not explain (A).
Answer: Both Assertion (A) and Reason (R) are true but (R) is not the correct explanation of (A).
Reason (R) is true: Bernoulli's principle for a horizontal pipe states that . This implies that an increase in fluid velocity results in a decrease in static pressure.
However, Reason (R) is not the correct explanation for Assertion (A). The maximum velocity at the narrowest part is a direct consequence of the conservation of mass (equation of continuity), not the conservation of energy (Bernoulli's principle). Therefore, both (A) and (R) are true, but (R) does not explain (A).
Answer: Both Assertion (A) and Reason (R) are true but (R) is not the correct explanation of (A).