Water is flowing continuously from a tap having an internal diameter 8 × 10-3 m . The water velocity as it leaves the tap is 0.4 m s-1 . The diameter of the water stream at a distance 2 × 10-1 m below the tap is close to

  • Option 1)

    5.0 × 10-3 m

  • Option 2)

    7.5 × 10-3 m

  • Option 3)

    9.6 × 10-3 m

  • Option 4)

    3.6 × 10-3 m

 

Answers (1)

As we learnt in

Equation of Continuity -

Mass of the liquid entering per second at A = mass of the liquid leaving per second at B. 

a1 v1 = a2 v2 

- wherein

a1  and abe the area of cross section.

 

 \Delta =8\times 10^{-3}m     &      V=0.4\ ms^{-1}

V=\sqrt{u^{2}+2gh}=\sqrt{(0.4)^{2}+2\times 10\times 0.2}=2\ ms^{-1}

A_{1}V_{1}=A_{2}V_{2}=\pi \left(\frac{8\times 10^{-3}}{4} \right )\times 0.4=\pi\times \frac{d^{2}}{4}\times 2

\therefore\ \; d\equiv 3.6\times 10^{-3} m

Corrrect option is 4.


Option 1)

5.0 × 10-3 m

This is an incorrect option.

Option 2)

7.5 × 10-3 m

This is an incorrect option.

Option 3)

9.6 × 10-3 m

This is an incorrect option.

Option 4)

3.6 × 10-3 m

This is the correct option.

Preparation Products

Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Test Series JEE Main May 2021

Unlimited Chapter Wise Tests, Unlimited Subject Wise Tests, Unlimited Full Mock Tests, Get Personalized Performance Analysis Report,.

₹ 6999/- ₹ 2999/-
Buy Now
Knockout JEE Main May 2022

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 34999/- ₹ 14999/-
Buy Now
JEE Main Rank Booster 2021

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions