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Q.

In a new system of units a tower of height 76 m is represented by number 7.6, sugar sack of mass 100 kg is represented by number 10 and 1 hour time is represented by number 360. If a force is measured to be 4 N then the magnitude of force in this new system is____________ units.

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answer is 4.

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Detailed Solution

Let new units of length, mass and time be L, M and T then 7.6 L=76 m⇒ L=10m10M=100kgM=10kg360T=3600s⇒ T=10s 4N=nF where F is unit of force in new system.⇒n=4kgm/s210kg10m(10s)−2=4n1u1=n2 u2 4 M1L1 1T21 =n M2 L2 1T22 4 M1 L11T21 =n M110L110100T21 ∴n=4

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In a new system of units a tower of height 76 m is represented by number 7.6, sugar sack of mass 100 kg is represented by number 10 and 1 hour time is represented by number 360. If a force is measured to be 4 N then the magnitude of force in this new system is____________ units.