Physical Quantities

Q.

If $F$ denotes force and t time, then in equation $F=a{t}^{-1}+b{t}^2$ , the dimensions of $a$ and $b$, respectively are

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

2. $\left[L{T}^{-1}\right]$ and $\left[L{T}^{-4}\right]$

3. $\left[ML{T}^{-4}\right]$ and $\left[ML{T}^{-1}\right]$

4. $\left[ML{T}^{-1}\right]$ and $\left[ML{T}^{-4}\right]$

5. $\left[ML{T}^{-3}\right]$ and $\left[ML{T}^{-2}\right]$

Q. Planck's constant has the dimensions (unit) of

1. Energy
2. Linear momentum
3. Work
4. Angular momentum

Q. Dimensions of coefficient of viscosity are

1. $M{L}^2{T}^{-2}$
2. $MLT$
3. $M{L}^{-1}{T}^{-1}$
4. $M{L}^2{T}^{-1}$

Q. A 3500 kg truck climbs to the top of a gradient 550 m above the bottom in 8 min. Neglecting friction, what power is developed?