The displacement of a body at a particular second n is given by the expression Sn t h=u+(a/2)(2 n-1). The dimensional formula of Sn t h in this equation is

Question

The displacement of a body at a particular second n is given by the expression Sn t h=u+(a/2)(2 n-1). The dimensional formula of Sn t h in this equation is (A) [ M 1 L 0 T 1] (B) [ M 0 L 1 T 0] (C) [ M 0 L 1 T -1] (D) [ M 0 L 0 T 0]

Tardigrade Admin · Accepted Answer

Correct answer is (c) [ M 0 L 1 T -1]

Q. The displacement of a body at a particular second $n$ is given by the expression $S_{n t h} = u + \frac{a}{2} (2 n - 1)$ . The dimensional formula of $S_{n t h}$ in this equation is

$[M^{1} L^{0} T^{1}]$

$[M^{0} L^{1} T^{0}]$

$[M^{0} L^{1} T^{- 1}]$

$[M^{0} L^{0} T^{0}]$

Correct answer is (c) $[M^{0} L^{1} T^{- 1}]$

Q. The displacement of a body at a particular second n is given by the expression Snth​=u+2a​(2n−1). The dimensional formula of Snth​ in this equation is

[M1L0T1]

[M0L1T0]

[M0L1T−1]

[M0L0T0]