Question

The magnitude of force is 100 N. What will
be its value if the units of mass and time are
doubled and that of length is halved?
1) 25
2)100
3) 200
4) 400​

Answer 1

Hey Dear,

◆ Answer -

(4) 400

◆ Explanation -

We can convert -

100 N = 100 kg.m/s^2

1 N = 100 × 1 kg × 1 m / 1 s^2 ...(1)

If units are changed accepted to,

Mass, 1 x = 2 kg, ∴ 1 kg = 1/2 x

Time, 1 y = 2 s, ∴ 1 s = 1/2 y

Length, 1 z = 1/2 m, ∴ 1 m = 2 z

Putting these values in (1),

100 N = 100 × (1/2 x) × (2 z) / (1/2 y)^2

100 N = 100 × 1/2 × 2 × 4 xz/y^2

100 N = 400 xz/y^2

Therefore, value of force in new units is 400.

Thanks dear...