1
JEE Main 2024 (Online) 31st January Morning Shift
+4
-1

A small steel ball is dropped into a long cylinder containing glycerine. Which one of the following is the correct representation of the velocity time graph for the transit of the ball?

A
B
C
D
2
JEE Main 2024 (Online) 30th January Morning Shift
+4
-1

Young's modules of material of a wire of length '$$L$$' and cross-sectional area $$A$$ is $$Y$$. If the length of the wire is doubled and cross-sectional area is halved then Young's modules will be :

A
4 Y
B
2 Y
C
$$\mathrm{\frac{Y}{4}}$$
D
Y
3
JEE Main 2024 (Online) 29th January Evening Shift
+4
-1

A small liquid drop of radius $$R$$ is divided into 27 identical liquid drops. If the surface tension is $$T$$, then the work done in the process will be:

A
$$4 \pi \mathrm{R}^2 \mathrm{~T}$$
B
$$8 \pi R^2 \mathrm{~T}$$
C
$$\frac{1}{8} \pi R^2 T$$
D
$$3 \pi R^2 \mathrm{~T}$$
4
JEE Main 2024 (Online) 29th January Evening Shift
+4
-1

A wire of length $$L$$ and radius $$r$$ is clamped at one end. If its other end is pulled by a force $$F$$, its length increases by $$l$$. If the radius of the wire and the applied force both are reduced to half of their original values keeping original length constant, the increase in length will become:

A
2 times
B
4 times
C
3 times
D
$$\frac{3}{2}$$ times
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