If force F, velocity v and time T are taken as fundamental units. The dimension of force in the dimensional formula of pressure is________________
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answer is 1.
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Detailed Solution
[F]=MLT−2⇒[v]=LT−1∴ [L]=[vT]∴ [M]=[F]LT−2=[F][vT]×T−2=Fv−1T∴ Pressure =ML−1T−2=Fv−1TvT−1T−2=Fv−2T−2Thus, in the dimensional formula of pressure, the dimension of force is 1.