1.

In a non - uniform circular motaion the ratio of tangential to radial acceleration is (where, r= radius of circle, v= speed of the particle, `alpha=` angular acceleration)A. `(alpha^(2)r^(2))/(v)`B. `(alpha^(2)r)/(v^(2))`C. `(alphar^(2))/(v^(2))`D. `(v^(2))/(r^(2)alpha)`

Answer» Correct Answer - C
Given, radius of circle = r
Speed of particel = v
Angular acceleration = `alpha`
We known that, tangential acceleration `=alphar` . .. (i)
Radial acceleration `(v^(2))/(r)` . . .(ii)
On dividing Eq. (i) by Eq. (ii), we get
`("Tangential acceleration")/("Radial acceleration")=(alphar)/(v^(2))xxr(alphar^(2))/(v^(2))`


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