A very large block of ice of size of a volleyball court and of uniform thickness of 8 ,m is floating

English

Gujarati

Hindi

9-1.Fluid Mechanics

medium

A very large block of ice of the size of a volleyball court and of uniform thickness of $8 \,m$ is floating on water. A person standing near its edge wishes to fetch a bucketful of water using a rope. The smallest length of rope required for this is about ............... $m$

A

$3.6$

B

$1.8$

C

$0.9$

D

$0.4$

(KVPY-2018)

Solution

(c)

Fraction of thickness of ice block out of water is

$x=1-\left(\frac{\rho_{\text {ice }}}{\rho_{\text {water }}}\right)=1-\frac{0.9}{1} \text { or } x=0.1$

So, minimum length of rope required $\approx$ thickness of ice $\times 0.1=8 \times 0.1=0.8 \,m$. Hence, nearest option is $0.9 \,m$.

Standard 11

Physics

Share

Similar Questions

A sphere of relative density $\sigma$ and diameter $D$ has concentric cavity of diameter $d$. The ratio of $\frac{D}{d}$, if it just floats on water in a tank is:

hard

(JEE MAIN-2024)

A drinking straw is dipped in a pan of water to depth d from the surface (see figure below). Now water is sucked into it up to an initial height $h_0$ and then left to oscillate. As a result, its height $y$ from the surface of the water varies periodically. Ignoring damping, the equation for $y$ is ( $g$ is the acceleration due to gravity):

normal

(KVPY-2021)

What is buoyant force ?

medium

There is a metal cube inside a block of ice which is floating on the surface of water. The ice melts completely and metal falls in the water. Water level in the container

medium

A solid sphere of density $\eta$ $( > 1)$ times lighter than water is suspended in a water tank by a string tied to its base as shown in fig. If the mass of the sphere is m then the tension in the string is given by

medium