Question 1: Palette 1/5

BITSAT 2025 MCQ

Two wires of the same material (Young's modulus $=Y$ ) and same length $L$ but radii $R$ and $2 R$ respectively are joined end to end and a weight $w$ is suspended from the combination as shown in the figure. The elastic potential energy in the system is

A

$\frac{3 w^2 L}{4 \pi R^2 Y}$

B

$\frac{3 w^2 L}{8 \pi R^2 Y}$

C

$\frac{5 w^2 L}{8 \pi R^2 Y}$

D

$\frac{w^2 L}{\pi R^2 Y}$

Question 2: Palette 2/5

BITSAT 2024 MCQ

Two wires of the same material (Young's modulus $ =Y $ ) and same length $ L $ but radii $ R $ and $ 2 R $ respectively, are joined end to end and a weight $ w $ is suspended from the combination as shown in the figure. The elastic potential energy in the system is

A

$ \frac{3 w^{2} L}{4 \pi R^{2} Y} $

B

$ \frac{3 w^{2} L}{8 \pi R^{2} Y} $

C

$ \frac{5 w^{2} L}{8 \pi R^{2} Y} $

D

$ \frac{w^{2} L}{\pi R^{2} Y} $

Question 3: Palette 3/5

BITSAT 2023 MCQ

For a constant hydraulic stress on an object, the fractional change in the object's volume $(\Delta V / V)$ and its bulk modulus $B$ are related as

A

$\frac{\Delta V}{V} \propto B$

B

$\frac{\Delta V}{V} \propto B^2$

C

$\frac{\Delta V}{V} \propto \frac{1}{B}$

D

$\frac{\Delta V}{V} \propto \frac{1}{B^2}$

Question 4: Palette 4/5

BITSAT 2021 MCQ

For a constant hydraulic stress on an object, the fractional change in the object's volume $\left( {{{\Delta V} \over V}} \right)$ and its bulk modulus B are related as

A

${{\Delta V} \over V} \propto B$

B

${{\Delta V} \over V} \propto {B^2}$

C

${{\Delta V} \over V} \propto {1 \over B}$

D

${{\Delta V} \over V} \propto {1 \over {{B^2}}}$

Question 5: Palette 5/5

BITSAT 2020 MCQ

If a man becomes a giant, expanding his linear dimensions by a factor of eight, and assuming his density remains unchanged, the factor by which the stress in his legs will increase is

A

${1 \over 8}$

B

8

C

36

D

64