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 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

$h$

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 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.

3
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-1

Two waves $y_1=\mathrm{A} \cos (0.5 \pi x-100 \pi t)$ and $y_2=\mathrm{A} \cos (0.467 \pi x-92 \pi t)$ are travelling in a pipe placed along $x$-axis.

Find the number of times the intensity is maximum in the time interval of 1 sec.

A

4

B

6

C

8

D

10

4
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-1

Two waves $y_1=\mathrm{A} \cos (0.5 \pi x-100 \pi t)$ and $y_2=\mathrm{A} \cos (0.467 \pi x-92 \pi t)$ are travelling in a pipe placed along $x$-axis.

Find the wave velocity of louder sound.

A

$100 \mathrm{~m} / \mathrm{s}$

B

$192 \mathrm{~m} / \mathrm{s}$

C

$200 \mathrm{~m} / \mathrm{s}$

D

$96 \mathrm{~m} / \mathrm{s}$

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