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JEE PHYSICS MCQ: UNITS & MEASUREMENTS

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Application +4 | -1
In a new system of units, the net force applied on a block of mass 10 kg10 \mathrm{~kg} moving with acceleration 10 m/s210 \mathrm{~m} / \mathrm{s}^2 is given as 100 unit of force. When the same block is moving at a speed of 20 m/s20 \mathrm{~m} / \mathrm{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−2M L^0 T^{-2}.)
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Correct option: A
1000
Option A (1000) is correct because the surface tension in the new system is 1000 times the value in SI units, derived from dimensional analysis and the given force and kinetic energy relationships.

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