InterviewSolution
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InterviewSolution
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Assertion: The given equation `x = x_(0) + u_(0)t + (1)/(2) at^(2)` is dimensionsally correct, where x is the distance travelled by a particle in time t , initial position `x_(0) ` initial velocity `u_(0)` and uniform acceleration a is along the direction of motion. Reason: Dimensional analysis can be used for cheking the dimensional consistency or homogenetly of the equation.A. if both assertion and reason are true reason is the correct explanation of assertion.B. If both assertion and reason are true but reason is not the correct explanation fo assertion.C. If assertion is true but reaso is false.D. IF both assertion and reason are false. |
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Answer» Correct Answer - A Given equation `x=x_(0)+u_(0)t+(1)/(2)at^(2)`. The dimensions of each term may be written as `[x]=[L],[x_(0)]=[L],[u_(0)t]=[LT^(-1)][T]=[L]` `[((1)/(2))at^(2)]=[LT^(-2)][T^(2)]=[L]` As each ter on the right hand side of this equation has the same dimension as left hand side of the equation, hence this equation is dimensionally correct. |
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