A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?

A regular hexagonal base prism has height 8 cm and side of base is 4 cm. What is the total surface area (in cm2) of the prism?

A

54(3 + \u221a3)

B

36(3 + \u221a3)

C

48(4 + \u221a3)

D

24(4 + \u221a3)

The[ triangular base of a prism is a right triangle of sides a and b = 2a . The height h of the prism is equal to 10 mm and its volume is equal to 40 mm3 , what will be the lengths of the sides a and b of the triangle ?

A

2 mm and 3 mm

B

1 mm and 4 mm

C

2 mm and 2 mm

D

2 mm and 4 mm

If the height of a right square pyramid is increased by 12%, by what percent must the side of the base be increased, so that the volume of the pyramid is increased by 28%?

A

3%

B

7%

C

10%

D

36%

When white light passes through a glass prism we get a spectrum on the other side of the prism. In the emergent beam the ray which is deviated least is

A

the violet ray

B

the red ray

C

the green ray

D

the blue ray

Which pharaoh build the largest pyramid known as Great Pyramid of Giza

A

Sneferu

B

Tutankhamun

C

Khufu

D

None of the above

Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its vertex and parallel to the base, is __________ than that passing through its C.G. and parallel to the base.

A

Nine times

B

Six times

C

Four times

D

Two times

To tell a lie is great sin. We_die than tell a lie.

A

have hetter

B

would rather

C

should

D

have to

A conditionally stable system is stable for the value of gain between two critical values. It is unstable if

A

The gain is increased beyond upper critical value

B

The gain is decreased below lower critical value

C

Both A and B

D

None of the above

A triangle has a base x and an altitude y. A second triangle has a base twice the altitude of the first triangle, and an altitude twice the base of the first triangle. What is the area of the second triangle?

A

2xy

B

0.5xy

C

0.66xy

D

4xy

In a gusseted base, when the end of the column is machined for complete bearing on the base plate, then the axial load is assumed to be transferred to base plate

A

Fully by direct bearing

B

Fully through fastenings

C

50% by direct bearing and 50% through fastenings

D

75% by direct bearing and 25% through fastenings

A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?

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