Question

Please answer this question correctly and become rice.

Answer 1

15)

Let M (proportional to) Vadbgc

Now Hence M = k Vadbgc where k is constant of proportionality

[M] = [V]a[d]b[g]c

M1L0T0 = (L1T-1)a(M1L-3)b(L1T-2)c

M1L0T0 = Mb La - 3b + c T-a - 2c

Comparing the powers,

b = 1

a - 3b + c = 0

Hence,

a - 3(1) + c = 0

a + c = 3 ...........1

-a - 2c = 0 ............2

Solving equations 1 and 2,

a + c = 3

-a - 2c = 0

---------------

-c = 3

Hence, c = - 3.

Substituting c = -3 in equation 1, we get a = 6.

Thus, M = k V6dg

hence, it can be said that M varies with 6th power of velocity

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