NEET UG PHYSICS MCQ: MECHANICAL PROPERTIES OF SOLIDS

1 Hard

1 of 1

Application +4 | -1

A circular tube of mean radius

8 \mathrm{~cm}

and thickness

0.04 \mathrm{~cm}

is melted up and recast into a solid rod of the same length. The ratio of the torsional rigidities of the circular tube and the solid rod is

View answer and explanation

Correct option: A

\frac{(8.02)^4-(7.98)^4}{(0.8)^4}

Option A (

\frac{{(8.02)^4-(7.98)^4}}{{(0.8)^4}}

) is correct because the torsional rigidity is proportional to the polar moment of inertia, which depends on the radius to the fourth power for a tube and a solid rod.

More Questions from MECHANICAL PROPERTIES OF SOLIDS

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A 20 kg load is suspended by a wire of area of cross section is

1\,m{m^2}

. The stress produced in

N/{m^2}

\left[ {g = 10\,m{s^{ - 2}}\,} \right]\,

In magnitude hydraulic stress is equal to: A wire extends by

\mathrm{1 mm}

when a force is applied. Double the force is applied to another wire of same material and length but half the radius of cross-section. The elongation of the wire in mm will be Stress to strain ratio is equivalent to A

2\,\,m

long rod of radius

1\,\,cm

which is fixed from one end is given a twist of

0.8

radians. The shear strain developed will be The relationship between Young’s modulus

Y

, Bulk modulus

\mathrm{K}

and modulus of rigidity

\eta