A relation m=AB is given where m is the linear mass density and A and B are some other physical quantities. If it is given that A is force, then quantity B has dimensions of which physical quantity given in the options?
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a
Pressure
b
Work
c
Latent heat
d
None of the above
answer is C.
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Detailed Solution
m = linear mass density = assper unit length =MLA= force =MLT−2From the relation given in the problem⇒[B]=[A][m]=MLT−1ML−1=L2T−2Here Pressure = force area =ML−1T−2Work= Force. displacement=ML2T−2 Latent heat = Heat mass =L2T−2This is same dimension as that of given in question.