1
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
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

BITSAT 2024 Physics - Elasticity Question 1 English

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} $
2
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

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
$$\frac{\Delta V}{V} \propto \frac{1}{B^2}$$
3
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

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
$${{\Delta V} \over V} \propto {1 \over {{B^2}}}$$
4
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

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
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