IIT-JEE 2006 | Properties of Matter Question 50 | Physics

1

IIT-JEE 2006

MCQ (Single Correct Answer)

+3

-1

A wooden cylinder of diameter $4 r$, height $h$ and density $\frac{\rho}{3}$ is kept on a hole of diameter $2 r$ of a tank, filled with water of density $\rho$ as shown in the figure. The height of the base of cylinder from the base of tank is H . IIT-JEE 2006 Physics - Properties of Matter Question 3 English Comprehension

IIT-JEE 2006 Physics - Properties of Matter Question 3 English Comprehension

If the level of liquid starts decreasing slowly when the level of liquid is at a height $h_1$ above the cylinder, the block just starts moving up. Then, the value of $h_1$ is:

A

$\frac{2 h}{3}$

B

$\frac{5 h}{4}$

C

$\frac{5 h}{3}$

D

$\frac{5 h}{2}$

2

IIT-JEE 2006

MCQ (Single Correct Answer)

+3

-1

A wooden cylinder of diameter $4 r$, height $h$ and density $\frac{\rho}{3}$ is kept on a hole of diameter $2 r$ of a tank, filled with water of density $\rho$ as shown in the figure. The height of the base of cylinder from the base of tank is H . IIT-JEE 2006 Physics - Properties of Matter Question 2 English Comprehension

IIT-JEE 2006 Physics - Properties of Matter Question 2 English Comprehension

Let the cylinder is prevented from moving up, by applying a force and water level is further decreased. Then, the height of water level ( $h_2$ in the figure) for which the cylinder remains in original position without application of force is

A

$\frac{h}{3}$

B

$\frac{4 h}{9}$

C

$\frac{2 h}{3}$

D

$h$

3

IIT-JEE 2006

MCQ (Single Correct Answer)

+3

-1

A wooden cylinder of diameter $4 r$, height $h$ and density $\frac{\rho}{3}$ is kept on a hole of diameter $2 r$ of a tank, filled with water of density $\rho$ as shown in the figure. The height of the base of cylinder from the base of tank is H . IIT-JEE 2006 Physics - Properties of Matter Question 4 English Comprehension

IIT-JEE 2006 Physics - Properties of Matter Question 4 English Comprehension

If the height $h_2$ of water level is further decreased, then

A

cylinder will not move up and remains at its position.

B

for $h_2=\frac{h}{3}$, the cylinder again starts moving up

C

for $h_2=\frac{h}{4}$, the cylinder again starts moving up

D

for $h_2=\frac{h}{5}$, the cylinder again starts moving up.

4

IIT-JEE 2005 Mains

MCQ (Single Correct Answer)

+3

-1

A U-tube is rotated about one of its limbs with an angular velocity $$\omega$$. Find the difference in height $$\mathrm{H}$$ of the liquid (density $$\rho$$ ) level, where the diameter of the tube is $$d < <\mathrm{L}$$.

IIT-JEE 2005 Mains Physics - Properties of Matter Question 8 English

A

$$\mathrm{H=\omega^2L^2/2g}$$

B

$$\mathrm{H=\omega^2L^2/3g}$$

C

$$\mathrm{H=5\omega^2L^2/2g}$$

D

$$\mathrm{H=\omega^2L^2/g}$$

JEE Advanced Subjects