a vessel containing water is given a constant acceleration

A vessel containing water is given a constant acceleration $$'a'$$ towards the right along a straight horizontal path. Which of the following diagrams represents the surface of the liquid ?

Mechanical Properties of Solids and Fluids mcq option image

D. None of these

Answer : Mechanical Properties of Solids and Fluids mcq option image

Solution :
Mechanical Properties of Solids and Fluids mcq solution image

Let us consider a small dotted segment of thickness $$dx$$ for observation. Since, this segment is accelerated towards right, a net force is acting in this segment towards right from the liquid towards the left of $$ABCD.$$ According to Newton's third law, the segment $$ABCD$$ will also apply a force on the previous section creating a pressure on it which makes the liquid rise.

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Basic Physics >> Mechanical Properties of Solids and Fluids

Releted Question 1

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

A. $$length=50\,cm, \,\,diameter=0.5 \,mm$$

B. $$length = 100 \,cm, \,\,diameter= 1 \,mm$$

C. $$length= 200 \,cm, \,\,diameter= 2 \,mm$$

D. $$length=300 \,cm, \,\,diameter =3 \,mm$$

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Releted Question 2

A U-tube of uniform cross section (see figure) is partially filled with a liquid I. Another liquid II which does not mix with liquid I is poured into one side. It is found that the liquid levels of the two sides of the tube are the same, while the level of liquid I has risen by $$2 \,cm.$$ If the specific gravity of liquid I is $$1.1,$$ the specific gravity of liquid II must be-

A. $$1.12$$

B. $$1.1$$

C. $$1.05$$

D. $$1.0$$

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Releted Question 3

A homogeneous solid cylinder of length $$L\left( {L < \frac{H}{2}} \right),$$ cross-sectional area $$\frac{A}{5}$$ is immersed such that it floats with its axis vertical at the liquid-liquid interface with length $$\frac{L}{4}$$ in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure $${P_0}.$$ Then density $$D$$ of solid is given by-

A. $$\frac{5}{4}d$$

B. $$\frac{4}{5}d$$

C. $$4d$$

D. $$\frac{d}{5}$$

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Releted Question 4

A large open tank has two holes in the wall. One is a square hole of side $$L$$ at a depth $$y$$ from the top and the other is a circular hole of radius $$R$$ at a depth $$4y$$ from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then, $$R$$ is equal to-

A. $$\frac{L}{{\sqrt {2\pi } }}$$

B. $$2\pi L$$

C. $$L$$

D. $$\frac{L}{{2\pi }}$$

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A vessel containing water is given a constant acceleration $$'a'$$ towards the right along a straight horizontal path. Which of the following diagrams represents the surface of the liquid ?

Releted MCQ Question on
Basic Physics >> Mechanical Properties of Solids and Fluids

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

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Mechanical Properties of Solids and Fluids

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A vessel containing water is given a constant acceleration $$'a'$$ towards the right along a straight horizontal path. Which of the following diagrams represents the surface of the liquid ?

Releted MCQ Question on Basic Physics >> Mechanical Properties of Solids and Fluids

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

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