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In a new system of units, the net force applied on a block of mass 10 kg moving with acceleration 10 m/s2 is given as 100 unit of force. When the same block is moving at a speed of 20 m/s, its. kinetic energy become 20 unit of energy. A liquid has a surface tension of 10 SI units. What is the magnitude of its surface tension in new system?(Dimensional formula of surface tension is ML0T-2.)

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Detailed Solution

Let in new system, dimensions be M', L' and T'∴ Given 100M′L′T′−2=100MLT−2 ..........(i)20M′L′2T′−2=20×100ML2T−2 ..........(ii)Solving (i) & (ii); L′=100L∴ M′T−−2=1100MT−2∴10 surface tension MT−2 in SI unit =103M′T−2

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In a new system of units, the net force applied on a block of mass 10 kg moving with acceleration 10 m/s2 is given as 100 unit of force. When the same block is moving at a speed of 20 m/s, its. kinetic energy become 20 unit of energy. A liquid has a surface tension of 10 SI units. What is the magnitude of its surface tension in new system?(Dimensional formula of surface tension is ML0T-2.)