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The correctness of equation can be checked using the principle of homogeneity in dimensions. The velocity V of a particle depends on time V as V=At^2+BtFind the dimensions and units of A and B. |
Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :`[A]=[[<a href="https://interviewquestions.tuteehub.com/tag/v-722631" style="font-weight:bold;" target="_blank" title="Click to know more about V">V</a>]]/[[t^2]]=[[M^0LT^-1]]/[[M^0L^0T^2]]=[M^0LT^-3]` <a href="https://interviewquestions.tuteehub.com/tag/unit-1438166" style="font-weight:bold;" target="_blank" title="Click to know more about UNIT">UNIT</a> of`A=ms^-3[<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>]=[[V]]/[[t]]=[[M^0LT^-1]]/[[M^0L^0T]]=[M^0LT^-2]` Unit `B=ms^-2`</body></html> | |