$A$ bob of mass $10\, kg$ is attached to a wire $0.3\, m$ long. Its breaking stress is $4.8 \times 10^7\, N/m^2$. The area of cross-section of the wire is $10^{-6}\, m^2$. The maximum angular velocity with which it can be rotated in a horizontal circle is ....... $rad/sec$.

  • A
    $8$
  • B
    $4$
  • C
    $2$
  • D
    $1$

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Which of the following statements is incorrect?

One end of a wire of $8 \,mm$ radius and $100 \,cm$ length is fixed and the other end is twisted through an angle of $45^{\circ}$. The angle of shear is (in $^{\circ}$)

$A$ substance breaks down by a stress of $10^6 \ N/m^2$. If the density of the material of the wire is $3 \times 10^3 \ kg/m^3$,then the length of the wire of the substance which will break under its own weight when suspended vertically,is ......... $m$.

$Assertion :$ Solids are least compressible and gases are most compressible.
$Reason :$ Solids have a definite shape and volume,but gases do not have either a definite shape or a definite volume.

Match the type of elasticity involved:
System Type of Elasticity
$(i)$ Suspension fibre of galvanometer $(a)$ Linear
$(ii)$ Bending of beam $(b)$ Shear
$(iii)$ Cutting piece of paper $(c)$ Bulk
$(iv)$ Mechanical waves in fluid $(d)$ Shear

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