badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 12

                        

A tank contains water on top of mercury.A cube of iron,60mm along each edge,is sitting upright in equilibrium in the liquids.Find how much of it is in each liquid.The densities of iron and mercury are 7.7g/cm 3 and 13.6g/cm 3 respectively

9 years ago

Answers : (1)

AKASH GOYAL AskiitiansExpert-IITD
419 Points
							

Dear Sohan

Suppose x1 length is in water and x2 in mercury

and x1+x2=h=60mm...............(1)

here equilibrium equation will be

Weight = total buoyant force for each medium,  W=B=Bw + Bhg...........(2)

weight=W= density of cubex volumexg= dcx(Axh)xg,   where A is h2

Bw=dw*(A*x1)*g

Bhg=dhg*(A*x2)*g

use equation 2

after cancelling terms on rhs and lhs you will get

dc*h=dw*x1+dhg*x2

put values of density

7.7h=x1+13.6x2..............(3)

solve for x1 and x2 using 1 and 3

x2=6.7h/12.6= 6.7*60/12.6 = 31.9 mm in mercury

in water=60-31.9=28.1 mm

 All the best.                                                          

AKASH GOYAL

AskiitiansExpert-IIT Delhi

 

Please feel free to post as many doubts on our discussion forum as you can. We are all IITians and here to help you in your IIT JEE preparation.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..

 

 

 

9 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 101 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 110 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details