English
Karnataka Board PUCPUC Science Class 11

A Wire Can Sustain the Weight of 20 Kg before Breaking. If the Wire is Cut into Two Equal Parts, Each Part Can Sustain a Weight of

Advertisements
Advertisements

Question

A wire can sustain the weight of 20 kg before breaking. If the wire is cut into two equal parts, each part can sustain a weight of 

Options

  • 10 kg

  •  20 kg

  •  40 kg

  •  80 kg

MCQ
Advertisements

Solution

As the wire is cut into two equal parts, both have equal cross-sectional areas. Therefore, a weight of 20 kg exerts a force of 20g on both the pieces. Breaking stress depends upon the material of the wire. Since 20g of force is exerted on wires with equal cross-sectional areas, both the wires can sustain a weight of 20 kg. 

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Some Mechanical Properties of Matter - MCQ [Page 298]

APPEARS IN

HC Verma Concepts of Physics Volume 1 and 2 [English]
Chapter 14 Some Mechanical Properties of Matter
MCQ | Q 3 | Page 298

RELATED QUESTIONS

A mild steel wire of length 1.0 m and cross-sectional area 0.50 × 10–2 cmis stretched, well within its elastic limit, horizontally between two pillars. A mass of 100 g is suspended from the mid-point of the wire. Calculate the depression at the midpoint.


The ratio stress/strain remain constant for small deformation of a metal wire. When the deformation is made larger, will this ratio increase or decrease?


When a metal wire is stretched by a load, the fractional change in its volume ∆V/V is proportional to


A load of 10 kg is suspended by a metal wire 3 m long and having a cross-sectional area 4 mm2. Find (a) the stress (b) the strain and (c) the elongation. Young modulus of the metal is 2.0 × 1011 N m−2

 

Answer in one sentence.

Define strain.


Answer in one sentence.

How should be a force applied on a body to produce shearing stress?


A rod has a radius of 100 mm and a length of 10 cm. A 100 N force compress along its length. Calculate the longitudinal stress developed in the rod.


Modulus of rigidity of ideal liquids is ______.


The maximum load a wire can withstand without breaking, when its length is reduced to half of its original length, will ______.


A wire is suspended from the ceiling and stretched under the action of a weight F suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.

  1. Tensile stress at any cross section A of the wire is F/A.
  2. Tensile stress at any cross section is zero.
  3. Tensile stress at any cross section A of the wire is 2F/A.
  4. Tension at any cross section A of the wire is F.

A rod of length l and negligible mass is suspended at its two ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths (Figure). The cross-sectional areas of wires A and B are 1.0 mm2 and 2.0 mm2, respectively.

(YAl = 70 × 109 Nm−2 and Ysteel = 200 × 109 Nm–2)

  1. Mass m should be suspended close to wire A to have equal stresses in both the wires.
  2. Mass m should be suspended close to B to have equal stresses in both the wires.
  3. Mass m should be suspended at the middle of the wires to have equal stresses in both the wires.
  4. Mass m should be suspended close to wire A to have equal strain in both wires.

Consider a long steel bar under a tensile stress due to forces F acting at the edges along the length of the bar (Figure). Consider a plane making an angle θ with the length. What are the tensile and shearing stresses on this plane

  1. For what angle is the tensile stress a maximum?
  2. For what angle is the shearing stress a maximum?

A steel wire having a radius of 2.0 mm, carrying a load of 4 kg, is hanging from a ceiling. Given that g = 3.1πms-2, what will be the tensile stress that would be developed in the wire?


The area of the cross-section of the rope used to lift a load by a crane is 2.5 × 10-4m2. The maximum lifting capacity of the crane is 10 metric tons. To increase the lifting capacity of the crane to 25 metric tons, the required area of cross-section of the rope should be ______.

(take g = 10 ms-2)


Answer in one sentence:

What is an elastomer?


What is the physical quantity defined as the internal restoring force per unit area of a body?


The SI unit of stress is ______.


What are the dimensions of stress?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×