Limitation Of Dimensional Analysis

Q.

$\int \frac{dx}{\sqrt{2ax-x^2}}$ = $a^{n}si{n}^{-1}[\frac{x}{a}-1]$

The value of n is

1. 0

2. 1

3. None of these

4. -1

Q.

Check whether the relation $S=ut+\frac{1}{2}a{t}^2$ is dimensionally correct or not. Where symbols have their

usual meaning?

1. Yes, dimensionally correct

2. No, dimensionally incorrect

Q.

Test dimensionally if the equation $v^2=u^2$ + 2ax may be correct.

1. correct for sure

2. may be correct

3. none of these

4. wrong for sure

Q.

The force F is given in terms of time t and displacement x by the equation F = A cos Bx + C sin Dt. The dimensional formula of $\frac{D}{B}$ is

1. $\left[M^0{L}^0{T}^0\right]$

2. $\left[M^0{L}^0{T}^{-1}\right]$

3. $\left[M^0{L}^{-1}{T}^0\right]$

4. $\left[M^0{L}^1{T}^{-1}\right]$