Go To Your Study Dashboard

A wooden block floating in a bucket of water has 4/5 of its volume submerged. When certain amount of an oil is poured into the bucket , it is found that the block is just under the oil surface with half of its volume under water and half in oil . The density of oil relative to that of water is :

Option 1)
$0.5$

Option 2)
$0.8$

Option 3)
$0.6$

Option 4)
$0.7$

Answers (1)

S solutionqc

$\\P_{block}=\frac{4}{5}p_w\\\:\Rightarrow\frac{4}{5}VP_{w}g=mg-------(1)$

$\Rightarrow\frac{V}{2}P_{w}g+\frac{V}{2}p^{'}g=mg=\frac{4}{5}VP_{w}g$

$\Rightarrow\frac{1}{2}P_{w}+\frac{p^{'}}{2}=\frac{4}{5}P_{w}$

$\\\Rightarrow\frac{p^{'}}{2}=\left [ \frac{4}{5}-\frac{1}{2} \right ]P_{w}\\\:\:\:p^{'}=\frac{6}{10}P_{w}\\\:\:\:\Rightarrow P^{'}=\frac{3}{5}P_{w}=0.6P_{w}$

Option 1)

$0.5$

Option 2)

$0.8$

Option 3)

$0.6$

Option 4)

$0.7$

Similar Questions

Latest Asked Questions

Most Viewed Questions

Preparation Products

Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-

Buy Now

Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-

Buy Now

Test Series JEE Main 2024

Chapter/Subject/Full Mock Tests for JEE Main, Personalized Performance Report, Weakness Sheet, Complete Answer Key,.

₹ 7999/- ₹ 4999/-

Buy Now

Knockout JEE Main (One Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 7999/- ₹ 4999/-

Buy Now

Knockout JEE Main (Twelve Months Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 19999/- ₹ 14499/-

Buy Now

Boost your Preparation for JEE Main 2021 with Personlized Coaching

Start Now

Exams

Articles

Questions