Question

The value of 5 kgf m in the C.G.S system of units is

• A. $9.8\times {10}^7$ dyne cm
• B. $9.8\times {10}^8$ dyne cm
• C. $4.9\times {10}^7$ dyne cm
• D. $4.9\times {10}^8$ dyne cm

Answer 1

The correct option is D $4.9\times {10}^8$ dyne cm

Since ,

1 kgf = 9.8 N
1 kgf m = 9.8 N m

And,

$1N={10}^5$ dyne

$1m={10}^2$ cm

⇒ $1Nm={10}^7$ dyne cm

⇒ 1 kgf m = 9.8 N m = $9.8\times {10}^7$ dyne cm

⇒ 5 kgf m = $5\times 9.8\times {10}^7$ dyne cm = $4.9\times {10}^8$ dyne cm.

Thus, the value of 5 kgf m in C.G.S units is $4.9\times {10}^8$ dyne cm.