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Match List I with List II

List IList II
a. Euler's equation by a free jetI. Principle of momentum
b. Pressure exerted by gas moleculesII. Equation for conservation of momentum
c. Rotating lawn sprinklerIII. Momentum equation
d. Equation of motion along a stream lineIV. Bernouli's equation

Choose the correct answer from the options given below.

  • A.a-II, b-IV, c-I, d-III
  • B.a-II, b-I, c-III, d-IV
  • C.a-II, b-III, c-I, d-IV
  • D.a-II, b-I, c-IV, d-III

Answer: B

The Board's key is a-II, b-I, c-III, d-IV.

d matches IV at once: integrating the equation of motion along a streamline for steady ideal flow gives Bernoulli's equation. Every option pairs a with II, since Euler's equation is the momentum equation for an ideal fluid, so the choice is between B and C.

The key takes b with I: the pressure of a gas on a wall is explained by the change of momentum of molecules striking it, the principle of momentum. The rotating lawn sprinkler (c) is the standard application of the momentum equation in its moment-of-momentum form, matching III. Options pairing d with III are wrong because Bernoulli's equation belongs to the streamline.

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