What is the minimum diameter of a brass rod if it is to support a load without exceeding the elastic limit? Assume that the stress for the elastic limit is .
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To find the minimum diameter, and hence minimum cross-sectional area, we assume that the force brings us to the elastic limit. Then from the stress,
, we get
Then, and
The elastic limit of steel is and its Young's modulus . Find the maximum elongation of a half-meter steel wire that can be given without exceeding the elastic limit.
For an equal stretching force , the young's modulus ( ) for steel and rubber are related as
Young's modulus of steel is highest.
which of the following is correct for young's modulus of elasticity ?
[where radius of cross section of wire]
If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modulus of the material of the wire will :
Remains same
Become 8 times its initial value
Become of its initial value
Become 4 times its initial value
Young's modulus depends on material of wire not on length and area of wire's cross-section.
The Young's modulus of a perfectly rigid body is
unity
zero
infinity
- some finite non-zero constant
For a perfectly rigid body strain produced is zero for the given force applied, so
If the ratio of radii of two wires of same material is and ratio of their lengths is , then the ratio of the normal forces that will produce the same extension in the length of two wires is
.
An iron bar of length and cross section is pulled by a force of dynes from ends so as to produce an elongation . Which of the following statement is correct?
Elongation is inversely proportional to length
Elongation is directly proportional to cross section A
Elongation is inversely proportional to cross-section
Elongation is directly proportional to Young's modulus
According to Hooke's law
Stress strain i.e.,
For same
Two wires of equal lengths are made of the same material. Wire A has a diameter that is twice as that of wire B. If identical weights are suspended from the ends of these wires, the increase in length is
four times for wire as for wire
twice for wire as for wire
half for wire as for wire
one-fourth for wire as for wire
( and are same)
or
A steel ring of radius and cross-section area ' ' is fitted on to a wooden disc of radius . If Young's modulus be , then the force with which the steel ring is expanded is
Initial length (circumference) of the ring
Final length (circumference) of the ring
Change in length
strain
Young's modulus
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