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(D) Young's modulus $Y$ is defined as the ratio of stress to strain: $Y = \frac{	ext{stress}}{	ext{strain}}$.To keep the length constant,the thermal

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$2.2 	imes 10^8 \ Pa$

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(D) Young's modulus $Y$ is defined as the ratio of stress to strain: $Y = \frac{	ext{stress}}{	ext{strain}}$.To keep the length constant,the thermal expansion must be exactly compensated by the compressive strain caused by the applied pressure.Thermal strain is given by $\frac{\Delta L}{L} = \alpha \Delta T$.Since stress $= Y 	imes 	ext{strain}$,the pressure $P$ required is $P = Y 	imes \alpha \Delta T$.Substituting the given values: $P = (2 	imes 10^{11} \ N/m^2) 	imes (1.1 	imes 10^{-5} \ K^{-1}) 	imes (100 \ K)$.$P = 2.2 	imes 10^{11} 	imes 10^{-5} 	imes 10^2 = 2.2 	imes 10^8 \ Pa$.

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