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JEE PHYSICS MCQ: UNITS & MEASUREMENTS

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Analyzing +4 | -1
If xx is the depression produced in the middle of a beam of length ll breadth b and thickness d and a load of mass m is attached at the centre of the beam. If y is the young Modulus of the material. Which of the following is dimensionally correct
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Correct option: B
x=mgl34 bd3yx = \frac{{mg{l^3}}}{{4\,b{d^3}y}}
Option D (x=mgl34 bd3yx = \frac{{mg{l^3}}}{{4\,b{d^3}y}}) is correct because it is the only option where the dimensions of both sides of the equation match, resulting in length.

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