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Q.

The distance travelled by a particle in nth second is Sn=u+a2(2n1) where u is the velocity and a is the acceleration. The equation is

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a

dimensionally true

b

dimensionally false

c

numerically may be true or false

d

1 and 3 are correct

answer is D.

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Detailed Solution

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Distance travel in a particular sec have the same dimension of velocity. 

u is velocity and a22n-1 this is acceleration ×time also gives the dimension of velocity.

so equation is dimensionally correct but numerically it is not possible to infer that it is correct or not as the value of constant cannot be verified dimensionally.

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The distance travelled by a particle in nth second is Sn=u+a2(2n−1) where u is the velocity and a is the acceleration. The equation is