1.Units, Dimensions and Measurement
easy

Let us consider an equation

$\frac{1}{2} m v^{2}=m g h$

where $m$ is the mass of the body. velocity, $g$ is the acceleration do gravity and $h$ is the height. whether this equation is dimensionally correct. 

Option A
Option B
Option C
Option D

Solution

Answer The dimensions of $LHS$ are

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

$=\left[ M L ^{2} T ^{-2}\right]$

The dimensions of $RHS$ are

$[ M ]\left[ L T ^{-2}\right][ L ]=[ M ]\left[ L ^{2} T ^{-2}\right]$

$=\left[ M L ^{2} T ^{-2}\right]$

The dimensions of $LHS$ and $RHS$ are the same and hence the equation is dimensionally correct.

Standard 11
Physics

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.