Laws of Motion - Result Question 57

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57. Two stones of masses $m$ and $2 m$ are whirled in horizontal circles, the heavier one in radius $\frac{r}{2}$ and the lighter one in radius $r$. The tangential speed of lighter stone is $n$ times that of the value of heavier stone when they experience same centripetal forces. The value of $n$ is : [2015 RS]

======= ####57. Two stones of masses $m$ and $2 m$ are whirled in horizontal circles, the heavier one in radius $\frac{r}{2}$ and the lighter one in radius $r$. The tangential speed of lighter stone is $n$ times that of the value of heavier stone when they experience same centripetal forces. The value of $n$ is : [2015 RS]

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/laws-of-motion/laws-of-motion—result-question-57.md (a) 3

(b) 4

(c) 1

(d) 2

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Answer:

Correct Answer: 57. (d)

Solution:

  1. (d) According to question, two stones experience same centripetal force

i.e., $F _{C_1}=F _{C_2}$

or, $\frac{mv_1^{2}}{r}=\frac{2 mv_2^{2}}{(r / 2)} \quad$ or, $V_1^{2}=4 V_2^{2}$

So, $V_1=2 V_2$ i.e., $n=2$