Question

The unit of momentum in the SI system is$kgm{s}^{-1}$. Then $1$ SI unit of momentum is equal to _________ CGS units of momentum.

• A. ${10}^2$
• B. ${10}^3$
• C. ${10}^4$
• D. ${10}^5$

Answer 1

The correct option is D

${10}^5$

STEP 1. DEFINITION OF MOMENTUM:

The momentum of the body is defined as the product of the mass and velocity of the body.

$momentum=mass\times velocity$

It is denoted by P.

$P=M\times V$

STEP 2. EXPLANATION:

The unit of momentum in the S.I unit is Kg m s^-1

The unit of momentum In the C.G.S unit is g m s^-1

$1kg=1000g$

so, $1Kgm{s}^{-1}={10}^{5}gcm{s}^{-1}$

Then S.I's unit of momentum is equal to ${10}^5$ C.G.S's units of momentum. Option D is correct.