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JEE PHYSICS MCQ: UNITS & MEASUREMENTS
1
Medium
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Analyzing
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A rectangular beam which is supported at its two ends and leaded in the middle with weight w sags by an amount δ such that , where and Y represent length, depth and elasticity respectively. Guess the unknown factor using dimensional considerations
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Correct option: A
Breadth
The correct answer is A (Breadth) because dimensional analysis shows the unknown factor must have dimensions of length, which corresponds to breadth.
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Reason: Acceleration has the dimensions of The method of dimensional analysis can be used to derive which of the following relations? Statement-I: Dimensions of constant of proportionality of constants can be derived from dimensional method
Statement-II: Numerical value of constant of proportionality can be found from experiments only The dimensions of torque are The physical quantity having the dimensions is A quantity X is given by , where is the permittivity of free space, L is a length, is a potential difference and is a time interval. The dimensional formula for X is the same as that of
