Question

Name the physical quantity obtain by the formula 2k/(v)2;where k=kinetic energy,v=linear velocity

Answer 1

Answer:

mass(kg)

Explanation:

2k/v^2(where k=kinetic energy and v=linear velocity)

k=1/2*(kg*v^2),    v=v(velocity)

putting the values of k and v in the expression we get

           2*1/2(kg*v^2/v^2)

          (  from this 2 gets cut and v^2 get cut

             so kg is the only unit left )

              kg

Answer 2

The physical quantity is mass.

Let's see how !

• We will use DIMENSIONAL ANALYSIS for this type of questions.

So, as per question:

$\therefore \: \dfrac{2k}{ {v}^{2} }$

• Here k is kinetic energy and v is velocity.

• Expressing the quantities in terms of mass, length and time.

$= \dfrac{ \bigg(2k \bigg)}{ \bigg( {v}^{2} \bigg)}$

$= \dfrac{ \bigg(k \bigg)}{ \bigg( {v}^{2} \bigg)}$

$= \dfrac{ \bigg(M{L}^{2}{ T}^{ - 2} \bigg)}{ \bigg( {(L{T}^{ - 1} )}^{2} \bigg)}$

$= \dfrac{ \bigg(M{L}^{2}{ T}^{ - 2} \bigg)}{ \bigg( {L}^{2} {T}^{ - 2} \bigg)}$

$= M$

$= mass$

So, the quantity is MASS.