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A long thin metallic rod of length l, cross sectional area S and Young's modulus γ rests on a smooth horizontal surface. A horizontal force P is applied at one end of the rod. Then the elongation produced in the rod is

a
Zero
b
PlSγ
c
2PlSγ
d
Pl2Sγ

detailed solution

Correct option is D

(4)a = Acceleration of the rod, a = P/m. If we observe the rod from its frame, then pseudo force ma acts at the COM C of the rod. So under the action of P and ma, elongation produced in the rod is δ=P×  ACSγ =   P.  l2Sγ=Pl2Sγ.

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