Limitation of Dimensional Analysis

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. No, dimensionally incorrect

2. Yes, dimensionally correct

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. 

2. 

3. 

4. 

Q. Match the given quantities with their respective units.

1. Frequency
2. $\text{m}$
3. Amplitude
4. $\text{Hz}$
5. Time period
6. $\text{s}$

Q.

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

The value of n is

1. -1

2. 0

3. 1

4. None of these

Q.

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

1. correct for sure

2. may be correct

3. wrong for sure

4. none of these