Sublimation of a long cylinder made of napthelene occurs in a large volume of stagnant air. The time required for its complete sublimation is

A napthelene hemisphere is placed on a glass plate and a napthelene ball of identical diameter is kept suspended in the stagnant air in two large rooms. The respective shapes of the ball are maintained while they sublime and reduce in size. Which of the following statements are true in this connection?

A

They take the same time for complete sublimation

B

The sphere disappears first

C

The hemisphere disappears first

D

Nothing definite can be said

“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m.

A

Only A and B

B

Only B and C

C

Only B

D

All A, B, C and D

E

None of A, B, C and D

A cylinder of sulfur is kept in a large volume of stagnant air for sublimation. How much time will be required for its complete sublimation?

A

One fourth the time required by sphere of same mass

B

Half the time required by a cube of same mass

C

One fourth the time required by a cube of same mass

D

Infinite

If p₁, is the pressure of air entering the L.P. cylinder and p₂ is the pressure of air leaving the L.P. cylinder (or inter-cooler pressure), then the ratio of cylinder diameters for a single acting, two stage reciprocating air compressor with complete intercooling is given by (where D₁ = Dia. of L.P. cylinder, and D₂ = Dia. of H.P. cylinder)

A

D₁/D₂ = p₁ p₂

B

D₁/D₂ = p₁/p₂

C

D₁/D₂ = p₂/p₁

D

None of these

If p₁, is the pressure of air entering the L.P. cylinder and p₂ is the pressure of air leaving the L.P. cylinder (or inter-cooler pressure), then the ratio of cylinder diameters for a single acting, two stage reciprocating air compressor with complete intercooling is given by (where D₁ = Diameter of L.P. cylinder and D₂ = Diameter of H.P. cylinder)

A

$$\frac{{{{\text{D}}_1}}}{{{{\text{D}}_2}}} = {{\text{p}}_1}{{\text{p}}_2}$$

B

$$\frac{{{{\text{D}}_1}}}{{{{\text{D}}_2}}} = \frac{{{{\text{p}}_1}}}{{{{\text{p}}_2}}}$$

C

$$\frac{{{{\text{D}}_1}}}{{{{\text{D}}_2}}} = \frac{{{{\text{p}}_2}}}{{{{\text{p}}_1}}}$$

D

None of these

The curved surface area of cylinder A is 8% more than the curved surface area of cylinder B. If the height of cylinder A is 4% less than the height of cylinder B, then the volume of cylinder A is what percentage more/less than the volume of cylinder B?

A

10.5% less

B

10.5% more

C

21.5% less

D

21.5% more

The curved surface area of cylinder X is 45% of the curved surface area of cylinder Y. If the volume of cylinder X is 27% of the volume of cylinder Y, then the height of cylinder X is what percentage of the height of cylinder Y?

A

25%

B

50%

C

75%

D

100%

Let X be a right circular cylinder with height ‘h’ and diameter ‘d’, Y be a right circular cone with height and diameter equal to that of cylinder X and Z be a sphere of maximum volume that can be inscribed in the cylinder X. Consider the following statements: 1. If d < h, then the volume of Y is (h/2d) times the volume of Z. 2. If d > h, then the volume of Y is (d2/2h2) times the volume of Z. Which of the above statements is/are correct?

A

Only 1

B

Only 2

C

Both 1 and 2

D

Neither 1 nor 2

A cylinder has a 28 m diameter and height is 25% of the diameter of the cylinder then find the difference between the volume of the cylinder and the volume of a cone whose height is 150% of the radius of the cylinder and whose radius is 50% of the height of the cylinder.

A

4000 m²

B

4042.5 m³

C

3042.5 m³

D

6242.5 m³

E

None

A hollow cylinder is formed by cutting out a solid cylinder of radius r/k from a solid cylinder of radius r. The height of both solid cylinders was equal. The volume of the hollow cylinder m times the volume of the new solid cylinder. What is the relationship between m and k?

A

k² = m

B

k² = m + 1

C

k² = m - 1

D

k² = 2m

Sublimation of a long cylinder made of napthelene occurs in a large volume of stagnant air. The time required for its complete sublimation is

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