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QJEEM22Ph6c34: JEE Main 2022 Physics - Class 11 JEEM22Ph6c34 Solution: A square aluminum (shear modulus is ) slab of side and…

A square aluminum (shear modulus is 25×109 Nm−225 \times 10^{9}\, \mathrm{Nm}^{-2} ) slab of side 60 cm60 \mathrm{~cm} and thickness 15 cm15 \mathrm{~cm} is subjected to a shearing force (on its narrow face) of 18.0×10418.0 \times 10^{4} N\mathrm{N} . The lower edge is riveted to the floor. The displacement of the upper edge is ____________ μ\mu m.

Step-by-Step Verified Solution

JEE Main 2022 (Online) 27th July Morning Shift Physics - Properties of Matter Question 122 English Explanation

Y=FlAΔlY = {{Fl} \over {A\Delta l}}

Δl=FlYA\Delta l = {{Fl} \over {YA}}

=18×104×60×10−225×109×60×15×10−4= {{18 \times {{10}^4} \times 60 \times {{10}^{ - 2}}} \over {25 \times {{10}^9} \times 60 \times 15 \times {{10}^{ - 4}}}}

=48×10−6= 48 \times {10^{ - 6}} m

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