Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • a solid cube is first floating in a liquid.the coefficient of linear expansion is alpha

1548067539635..jpg A solid cube is first floating in a liquid. The coefficient of linear expansion of cube is alpha and the coefficient of volume expansion of liquid is gamma. On increasing the temperature of (liquid + cube) system, the cube will sink if

Answers (1)

best_answer

 

In the question as the cube is initially just floating the density of the cube=density of water

Afterwards when the temperature is increased ;

The increase in volume of water is proportional to \gamma

The increase in volume of cube is proportional to the volume expansion coefficient of cube I.e 3\alpha

So for water Vfinal =Vinitial .(1+\gamma)

For cube Vfinal =Vinitial.(1+3\alpha)

(V is volume)

So as the mass is constant

For water Dfinal of water=Dinitial/(1+\gamma)

For cube Dfinal of cube=Dinitial/(1+3\alpha)

Cube will sink if Dfinal of cube>Dinitial of water

I.e Dinitial /(1+3\alpha)>Dinitial/(1+\gamma)

As Dinitial is same for both

  \frac{1}{3\alpha }> \frac{1}{\gamma }\Rightarrow \gamma > 3\alpha

Posted by

avinash.dongre

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

NEET UG 2024 application correction facility ends today; exam pattern, marking scheme
anam-khan

NTA re-opens NEET UG correction window 2024; update photographs till April 26
anam-khan

NEET UG 2024 exam city slip out at neet.ntaonline.in; over 25 lakh candidates to appear

Latest Question