NEET 2024, Physics Q2: Newton's Laws Of Motion

NEET2024Physics

A bob is whirled in a horizontal plane by means of a string with an initial speed of $ω$ rpm. The tension in the string is $T$ . If speed becomes $2 ω$ while keeping the same radius, the tension in the string becomes:

A
$\frac{T}{4}$
B
$2 T$
C
$T$
D
$4 T$

Solution

Tension provides the centripetal force: $T = m r ω^{2}$ .

Since $T \propto ω^{2}$ (with $r$ unchanged), doubling $ω$ quadruples the tension.

$∴ T^{'} = 4 T$ .

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NEET 2024, Physics Q2: Newton's Laws Of Motion

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