A spring is stretched by applying a load to its free end. The strain produced in the spring is

• volumetric

• shear

• longitudinal and shear

• longitudinal

'Young's modulus' is defined as the ratio of

• hydraulic stress and hydraulic strain

• shearing stress and shearing strain

• tensile stress and longitudinal strain

• bulk stress and longitudinal strain

A piece of copper is to be shaped into a conducting wire of maximum resistance. The suitable length and diameter are respectively

• 2L and d/2

• L/2 and 2d

• L and d

• 2L and d

The load versus elongation graph for four wires of the same materials is shown in the figure. The thinnest wire is represented by the line

• OC

• OD

• OA

• OB

The approximate depth of an ocean is 2700 m.The compressibility of water is 45.4 x 10^-11 Pa^-1 and density of water is 10³ kg/m³. What obtained at  the bottom of the ocean?

• 0.8 x10^-2

• 1.0 x 10^-2

• 1.2 x 10^-2

• 1.2 x 10^-2

Copper of fixed volume V is drawn into wire of length l. When this wire is subjected to a constant force F, the extension produced in the wire is . Which of the following graphs is a straight line?

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

• Length = 50 cm, diameter = 0.5 mm

• Length = 100 cm, diameter = 1 mm

• Length = 200 cm, diameter = 2 mm

• Length = 200 cm, diameter = 2 mm

Two pith balls carrying equal charges are suspended from a common point by strings of equal length, the equilibrium separation between them is r, Now the strings are rigidly clamped at half the height. The equilibrium separation between the balls now become.

The young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross section, one of steel and another of brass are suspended from the same roof. we want the lower ends of the wires to be at the same level, then the weight added to the steel and brass wires must be in the ratio of

• 1:2

• 2:1

• 4:1

• 4:1

The solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on a inclinded plane. Both roll down without slipping which one will reach the bottom first?

• Both together only when angle of inclination of plane is 45^o

• Both together

• Hollow cylinder

• Hollow cylinder