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?

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

infinite

B

half the time of sublimation of a sphere of the same mass

C

twice the time of sublimation of a cylinder of the same mass and lengthy/diameter=1

D

half the time of sublimation of a cylinder of the same mass and lengthy/diameter=1

“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

An aqueous solution with sulfur 10 g/L at the rate is 100 L/min and an organic compound with no sulfur at the rate 50 L/min were put into an extraction machine and produced an aqueous solution with sulfur 1 g/L, what is the amount of sulfur in the organic compound after extraction?

A

2 g/L

B

5 g/L

C

9 g/L

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%

The cages of five animals, Lion, Tiger, Elephant, Giraffe and Zebra were kept in a line one after the other, not necessarily in the same order. Lion’s cage is not kept at the last and giraffe’s cage is not kept at the first. Tiger’s cage was kept at the centre of the line. Zebra’s cage was kept after Lion’s but before Tiger’s cage. There was one cage kept between Tiger’s and Giraffe’s cage. Whose cage is kept at the last in the line?

A

Zebra

B

Lion

C

Elephant

D

Giraffe

Six boxes containing different items namely, Copy, Pen, pencil, Scissor, Tape and Paper, are kept in a straight line, one after the other, not necessarily in the same order. The box of Pen is kept at the third position in the line from the left end. The box of Paper is kept at the extreme right end. The box of Pencil is kept somewhere between box of pen and box of paper. The box of Tape is kept at the left of the box of Pen but at the right of the box of Copy, when counting from the left end. The box of scissor is not kept immediately next to Paper. Which box is kept at the second position from the right end?

A

Paper

B

Scissor

C

Pencil

D

Tape

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

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