MCQ
A ball falling in a lake of depth $200\, m$ shows $0.1\%$ decrease in its volume at the bottom. What is the bulk modulus of the material of the ball
  • $19.6 \times {10^8}\,N/{m^2}$
  • B
    $19.6 \times {10^{ - 10}}\,N/{m^2}$
  • C
    $19.6 \times {10^{10}}\,N/{m^2}$
  • D
    $19.6 \times {10^{ - 8}}\,N/{m^2}$

Answer

Correct option: A.
$19.6 \times {10^8}\,N/{m^2}$
a
(a) $B = \frac{{\Delta p}}{{\Delta V/V}} = \frac{{h\rho g}}{{0.1/100}} = \frac{{200 \times {{10}^3} \times 9.8}}{{1/1000}}$

$ = 19.6 \times {10^8}N/{m^2}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Centre of mass is a point:
A projectile is projected with speed $u$ of an angle of $60^o$ with horizontal from the foot of an inclined plane. If the projectile hits the inclined plane horizontally, the range on inclined plane will be :-
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason $R$. Assertion A : Efficiency of a reversible heat engine will be highest at $-273^{\circ} C$ temperature of cold reservoir.

Reason $R$ : The efficiency of Carnot's engine depends not only on temperature of cold reservoir but it depends on the temperature of hot reservoir too and is given as $\eta=\left(1-\frac{ T _2}{ T _1}\right)$.

In the light of the above statements, choose the correct answer from the options given below

$Assertion$ : A tennis ball bounces higher on hills than in plains.
$Reason$ : Acceleration due to gravity on the hill is greater than that on the surface of earth
Thickness of a pencil measured by using a screw gauge (least count $0.001 \,cm$ ) comes out to be $0.802 \,cm$. The percentage error in the measurement is ........... $\%$
Two weights of $5\ kg$ and $10\ kg$ are placed on a horizontal table of height $1.5m.$ Which will have more potential energy?
The figure shows the positions and velocities of two particles. If the particles move under the mutual attraction of each other, then the position of centre of mass at $t =1\,s$ is
If two identical mercury drops are combined to form a single drop, then its temperature will
The initial temperature of a body is $80°C$ . If its temperature falls to $64°C$ in $5$ minutes and in $10$ minutes to $52°C$ then the temperature of surrounding will be ...... $^oC$
Two plates each of mass $m$ are connected by a massless spring as shown below. A weight $w$ is put on the upper plate which compresses the spring further. When $w$ is removed, the entire assembly jumps up. The minimum weight $w$ needed for the assembly to jump up when the weight is removed is just more than ...........$ \,m$