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


A) 2.5 N

B) 100 N

C) 25 N

D) 200 N​

Answer 1

■ 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. ♡♡♡》

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