With usual notations, following equation {Sₜ} = u + frac{1}{2}a(2t - 1) is

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1.Units, Dimensions and Measurement

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With the usual notations, the following equation ${S_t} = u + \frac{1}{2}a(2t - 1)$ is

A

Only numerically correct

B

Only dimensionally correct

C

Both numerically and dimensionally correct

D

Neither numerically nor dimensionally correct

Solution

(c) We can derive this equation from equations of motion so it is numerically correct.

${S_t}$= distance travelled in $t^{th}$ second $=\frac{{{\rm{Distance}}}}{{{\rm{time}}}} = [L{T^{ – 1}}]$

$u$ = velocity = $[L{T^{ – 1}}]$ and $\frac{1}{2}a(2t – 1) = [L{T^{ – 1}}]$

As dimensions of each term in the given equation are same, hence equation is dimensionally correct also.

Standard 11

Physics

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