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Heat and Thermodynamics question

2012 · Shift 0 · Q62

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JEE Main
Physics
Heat and Thermodynamics
2012 · Shift 0 · Q62

Heat and Thermodynamics question

2012 · Shift 0 · Q62

JEE MainPhysicsHeat and ThermodynamicsMCQ+4 / −1

A wooden wheel of radius

R

is made of two semicircular part (see figure). The two parts are held together by a ring made of a metal strip of cross sectional area

S

and length

L.L

is slightly less than

2\pi R.

To fit the ring on the wheel, it is heated so that its temperature rises by

\Delta T

and it just steps over the wheel. As it cools down to surrounding temperature, it process the semicircular parts together. If the coefficient of linear expansion of the metal is

\alpha

, and its Young's modulus is

Y,

the force that one part of the wheel applies on the other part is : AIEEE 2012 Physics - Heat and Thermodynamics Question 396 English

AIEEE 2012 Physics - Heat and Thermodynamics Question 396 English

A
$2\pi SY\alpha \Delta T$
B
$SY\alpha \Delta T$
C
$\pi SY\alpha \Delta T$
D
$2SY\alpha \Delta T$

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