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Bulk Modulus

When a metal ...

Question

When a metal rod is heated and then prevented from contracting as it cools, a considerable force is exerted at the ends of the rod, this can be found using

A

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B

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C

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D

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Solution

The correct option is B

When the rod contracts a compressive stress acts on it. So using Young's modulus of the material it is possible to find the force that it experiences on contracting.

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Similar questions

Q. A thin rod of negligible mass, length

0.5 m

and area of cross-section

4 \times 10^{- 6} m^{2}

, suspended vertically from one end. The rod is cooled down and it can contract by

5 \times 10^{- 4} m

but prevented from contracting by attaching a mass at the lower end. Choose the correct option(s).
(Given: Take young's modulus of rod

Y = 10^{11} {N/m}^{2}, g = 10 {m/s}^{2})

Q. A thin rod of negligible mass and cross-sectional area 4x10

^{- 6} m^{2}

, suspended vertically from one end, has a length of 0.5 m at 100

^{o}

C. The rod is cooled to 0

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C .Young's modulus

=

^{11}

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, coefficient of linear expansion

=

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= 10 m s^{- 2}

What mass must be attached at the lower end of the rod so that the rod is prevented from contracting on cooling?

Q. A thin rod of negligible mass, length

0.5 m

and area of cross-section

4 \times 10^{- 6} m^{2}

, suspended vertically from one end. The rod is cooled down and it can contract by

5 \times 10^{- 4} m

but prevented from contracting by attaching a mass at the lower end. Choose the correct option(s).
(Given: Take young's modulus of rod

Y = 10^{11} {N/m}^{2}, g = 10 {m/s}^{2})

Q. Two equal and opposite point forces are applied at mid-points of the ends of a rod of square cross section, as shown. Consider the dotted section

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Q. Assertion (A): The pendulum clock made up of a metal losses time at high temperature
Reason (R): When a metal rod is heated, then it contracts

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