In a particular system, the unit of length, mass and time are chosen to be 10 mathrm~cm, 10 mathrm~g and 0.1 sec respectively. The unit of force in this system will be equivalent to:

Question

In a particular system, the unit of length, mass and time are chosen to be 10 mathrm~cm, 10 mathrm~g and 0.1 sec respectively. The unit of force in this system will be equivalent to: (A) 0.1 mathrm~N (B) IN (C) 10 mathrm~N (D) 100 mathrm~N

Tardigrade Admin · Accepted Answer

beginaligned mathrmF &=( mathrmM1 mathrm~L1 mathrm~T-2) &=[(10 mathrm~g)1(10 mathrm~cm)1(0.1 mathrm~s)-2] &=[(10-2 mathrm~kg)1(10-1 mathrm~m)1(102 mathrm~s-2)] mathrmF &=10-1 mathrm~N=0.1 mathrm~N endaligned

Q. In a particular system, the unit of length, mass and time are chosen to be $10 cm, 10 g$ and 0.1 sec respectively. The unit of force in this system will be equivalent to:

$0.1 N$

$I N$

$10 N$

$100 N$

$F F = (M^{1} L^{1} T^{- 2}) = [(10 g)^{1} (10 cm)^{1} (0.1 s)^{- 2}] = [(1 0^{- 2} kg)^{1} (1 0^{- 1} m)^{1} (1 0^{2} s^{- 2})] = 1 0^{- 1} N = 0.1 N$

Q. In a particular system, the unit of length, mass and time are chosen to be 10 cm,10 g and 0.1 sec respectively. The unit of force in this system will be equivalent to:

0.1 N

IN

10 N

100 N