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STATEMENT-1: The stream of water flowing...

STATEMENT-1: The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when held vertically up, but tends to narrow down when held vertically down.
STATEMENT-2: In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.

A

both Assertion and Reason are true and the Reason in the correct explanation of the Assertion.

B

both Assertion and Reason are true but Reason is not a correct explanation of the Assertion.

C

Assertion is true but the Reason is false.

D

both Assertion and Reason are false.

Text Solution

Verified by Experts

The correct Answer is:
A
Here, both Assertion and Reason are true and the Reason is the correct explanation of Assertion, because from equation of continuuity, `Av = a` constant or `A prop (1)/(v)`.
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Statement-1 : The stream of water flowing at high speed from a garden hose pipe tends to spread like a foundtion when held vertically up, but tends to narrow down when held vertically down. Statement-2 : In any steady flow of an incompressible fluid, the volume flow rate of the fluid remain constant.

The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when held vertically up, but tends to narrow down when held vertically up, but tends to narrow down when held vertically down. Explain how?

Statement-1: The stream of water emerging from a wate tap "necks down" as it falls. Statement-2: The volume flow rate at different levels is same.

Some question (Assertion-Reason type) are given below. Each question contains STATEMENT-1(Assertion) and STATEMENT-2(Reason) . Each question has 4 choices (A),(B),(C ) and (D) out of which ONLY ONE is correct. So select the correct choice : STATEMENT-1 In the steady flow of an ideal fluid, the velocity at any point is same for different fluid particles. STATEMENT-2 Steady fluid flow is the unaccelerated fluid flow.

Water is pumped out at a constant rate of 88m^(3)/min from a conical container held with its axis vertical,if the semi-vertical angle of the cone is 45^(@), find the rate of depression of the water level when the depth of water level is 2 meter.

A vertical steel rod has radius a. The rod has a coat of a liquid film on it. The liquid slides under gravity. It was found that the speed of liquid layer at radius r is given by v=(rhogb^(2))/(2eta)ln((r)/(a))-(rhog)/(4eta)(r^(2)-a^(2)) Where b is the outer radius of liquid film, eta is coefficient of viscosity and rho is density of the liquid. (i) Calculate the force on unit length of the rod due to the viscous liquid? (ii) Set up the integral to calculate the volume flow rate of the liquid down the rod. [you may not evaluate the integral]

An uniform disc is rotating at a constant speed in a vertical plane about a fixed horizontal axis passing through the centre of the disc. A piece of the disc from its rim detaches itself from the disc at the instant when it is at horizontal level with the centre of the disc and moving upwards, then about the fixed axis. STATEMENT-1 : Angular speed of the disc about the aixs of rotation will increase. and STATEMENT-2 : Moment of inertia of the disc is decreased about the axis of rotation.

In a machine, a fluid from a compressor, which is at high pressure, is allowed to pass through a nozzle. Cross section of the nozzle is shown in the fiuge. The nozzle consists of two sections of radii r_(1) and r_(2) . The nozzle is fixed on a stand with the help of a clamp. the clamp is a circular ring of radius r_(1) and width b. The fluid from the compressor is at a presssure of n times the atmospheric pressure p_(0) . assume that the entrie system is horizontal the fluid is ideal and the flow is steady. (a) what should be the volume flow rate so that pressure of the fluid at end B reduces to half of its value at end A? (b) If the entire system is kept in gravity free space and the net force on the nozzle due to the fluid flow is F then determine the minimum radial pressure that should be applied on the clamp. so the nozzle remains in place. Coefficient of friction betwwen clamp and nozzle is mu . (c) If a small hole is punched anywhere on the thinner part of the nozzle (close to end B) what should be the volume flow rate of the fluid so that it does not gush out?

Knowledge Check

  • Statement-1 : The stream of water flowing at high speed from a garden hose pipe tends to spread like a foundtion when held vertically up, but tends to narrow down when held vertically down. Statement-2 : In any steady flow of an incompressible fluid, the volume flow rate of the fluid remain constant.

    A
    Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.
    B
    Statement-1 is true, Statement-2 is true, Statemnet-2 is not a correct explanation for Statement-1
    C
    Statement-1 is true, Statement-2 is false
    D
    Statement-1 is false Statement-2 is true

  • Statement-1: The stream of water emerging from a wate tap "necks down" as it falls. Statement-2: The volume flow rate at different levels is same.

    A
    Statement-1, is true, Statement-2 is true, Statement-2 is correct explanation for statement-1
    B
    Statement-1 is true, statement-2 is true, statement-2 is NOT a correct explantion for statement-1
    C
    statement-1 is true, statement-2 is false
    D
    statement-1 is false statement-2 is true

  • Some question (Assertion-Reason type) are given below. Each question contains STATEMENT-1(Assertion) and STATEMENT-2(Reason) . Each question has 4 choices (A),(B),(C ) and (D) out of which ONLY ONE is correct. So select the correct choice : STATEMENT-1 In the steady flow of an ideal fluid, the velocity at any point is same for different fluid particles. STATEMENT-2 Steady fluid flow is the unaccelerated fluid flow.

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.
    B
    Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1.
    C
    Statement-1 is True, Statement-2 is False.
    D
    Statement-1 is False, Statement-2 is True.
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