Q.

If k represents kinetic energy, v velocity and T time and these are chosen as the fundamental units, then the unit of surface tension will be

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a

K v-2 T-2

b

K2V2T

c

KVT2

d

KV2T2

answer is A.

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Detailed Solution

We know that [K]=ML2T−2  and   [V]=LT−1∴  Surface tension = Force  Length =MLT−2[L]=ML2T−2L2=[K]L2=KT−2L2T−2=KT−2v2=KV−2T−2∴ [ Surface tension ]=KV−2T−2
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