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# Determination of Young's modulusby Searle's method

The Searle's apparatus consists of two rectangular steel frames A and B as shown in Fig.. The two frames are hinged together by means of a frame F. A spirit level L is provided such that one of its ends is pivoted to one of the frame B whereas the other end rests on top of a screw working through a nut in the other frame.

Determination of Young's modulusby Searle's method

The Searle's apparatus consists of two rectangular steel frames A and B as shown in Fig.. The two frames are hinged together by means of a frame F. A spirit level L is provided such that one of its ends is pivoted to one of the frame B whereas the other end rests on top of a screw working through a nut in the other frame. The bottomof the screw has a circular scale C which can move along a vertical scale V graduated in mm. This vertical scale and circular scale arrangement act as pitch scale and head scale respectively of a micrometer screw.

The frames A and B are suspended from a fixed support by means of two wires PQ and RS respectively. The wire PQ attached to the frame A is the experimental wire. To keep the reference wire RS taut, a constant weight W is attached to the frame B. To the frame A, a weight hanger is attached in which slotted weights can be added.

Extension for M kg weight

W

W + 0.5

W + 1.0

W + 1.5

W + 2.0

W + 2.5

W + 3.0

W + 3.5

W + 4.0

If l is the original length and r the mean radius of the experimental wire, then Young's modulus of the material of the wire is given by

q = F/A  / dl/l

= Fl / πr2dl

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11th 12th std standard Class Physics sciense Higher secondary school College Notes : Determination of Young's modulusby Searle's method |