The length of the metal wire  is a when the tension is T1 and b when the tension is TThe original length of the wire is
  • $\frac {T_2a - T_1 b}{T_2 - T_1}$
  • $\frac {T_2b - T_1 a}{T_2 - T_1}$
  • $\frac {T_2a + T_1 b}{T_2 + T_1}$
  • $\frac {T_2a - T_1 b}{T_2 + T_1}$
A wire of length L and cross-sectional area A is made of a material of Young’s modulus Y, if the wire is stretched by an amount y, the work done is
  • $\frac {YAy^2}{4L}$
  • $\frac {YAy}{2L}$
  • $\frac {YA}{2Ly^2}$
  • $\frac {YAy^2}{2L}$
The length of the two wires made of the same material having equal cross-sectional areas is L and 2L. They are stretched by the equal force F along the length. What will be the ratio of tension developed in the wires?
  • 1:2
  • 2 :1
  • 1: 4
  • 1: 1
Two wires are made of the same material. The Length of the first wire is half that of the second wire and the radius of the first wire is twice that of the second wire. If the same  weight W is suspended  from the two wires, the ratio of the increase in their lengths is
  • 8: 1
  • 1: 4
  • 1: 8
  • 4: 1
The dimension of the Modulus of rigidity $\eta$ is
  • $ML^{-3}T^{-2}$
  • $ML^{-2}T^{-2}$
  • $ML^{-1}T^{-1}$
  • $ML^{-1}T^{-2}$
A solid sphere of radius R made of a material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area A floats on the surface of the liquid. When a mass M is placed on the piston to compress the liquid, the fractional change in the radius of the sphere is
  • $\frac {Mg}{5KA}$
  • $\frac {Mg}{KA}$
  • $\frac {Mg}{3KA}$
  • $\frac {Mg}{2KA}$
(a) If both assertion and reason are true and reason is the correct explanation of the assertion. (b) If both assertion and reason are true but reason is not correct explanation of the assertion. (c) If assertion is true, but reason is false. (d) If both assertion and reason are false. Assertion: Lead is more elastic than rubber. Reason: If the same load is attached to lead and rubber wires of the same cross-sectional area, the strain of lead is very much less than that of rubber
  • a
  • b
  • c
  • d
(a) If both assertion and reason are true and reason is the correct explanation of the assertion. (b) If both assertion and reason are true but reason is not correct explanation of the assertion. (c) If assertion is true, but reason is false. (d) If both assertion and reason are false. (e) If reason is true but assertion is false Assertion: Stress is the internal force per unit area of abody. Reason: Rubber is more elastic than steel.
  • a
  • b
  • c
  • d
  • e
(a) If both assertion and reason are true and reason is the correct explanation of the assertion. (b) If both assertion and reason are true but reason is not correct explanation of the assertion. (c) If assertion is true, but reason is false. (d) If both assertion and reason are false. (e) If reason is true but assertion is false Assertion: Modulus of elasticity of most of the materials decrease with an increase in temperature Reason: The interatomic forces of attraction becomes weaker as the temperature is increased
  • a
  • b
  • c
  • d
  • e
(a) If both assertion and reason are true and reason is the correct explanation of the assertion. (b) If both assertion and reason are true but reason is not correct explanation of the assertion. (c) If assertion is true, but reason is false. (d) If both assertion and reason are false. (e) If reason is true but assertion is false Assertion: Young’s modulus for a perfectly plastic body is zero. Reason: For a perfectly plastic body, restoring force is zero
  • a
  • b
  • c
  • d
  • e
A thin rod of negligible mass whose area of cross-section is $5\times 10^{-6} m^2$, is suspended vertically from its one end. Its length is 1 m at a temperature of $100^0C$. The rod is now cooled to $0^0C$but is prevented from contracting by suspended a mass at its lower end. Young's modulus of the material of the rod is $2 \times 10^{11} N/m^2$ and coefficient of thermal expansion =$10^{-5} K^{-1}$ and g=10N/kg Find the value of the suspended mass?
  • 10 Kg
  • 100 kg
  • 1000 kg
  • 500 kg
The energy stored in the rod will be
  • 1 J
  • .8 J
  • .4 J
  • .5 J
For a given material, the Young’s modulus is 2.4 times that of the rigidity modulus. The Poissons’s ratio is
  • .1
  • .4
  • .2
  • .5
For an ideal liquid, four statements are made (i) the bulk modulus is infinite. (ii) the bulk modulus is zero. (iii) the shear modulus is infinite. (iv) the shear modulus is zero Which of the following are true (a) (i) and (iii) (b) (ii) and (iv) (c) (ii) and (iii) (d) (i) and (iv)
  • a
  • b
  • c
  • d
Consider a long steel bar under tensile stress due to forces F acting at the edges along the length of the bar  Consider a plane making an angle θ with the length. What is the tensile and shearing stresses on this plane? For what angle is the tensile stress a maximum?
properties-of-solids-1.png
  • 0
  • π/2
  • π/4
  • π/3
For what angle is the shearing stress a maximum?
  • 0
  • π/2
  • π/3
  • π/4
0 h : 0 m : 1 s

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