Скачать или смотреть NEET 2024 PYQ OF PHYSICS FROM CIRCULAR MOTION

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Queries:

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 :

(1) T (2) 4T (3) T /4 (4) √ 2 T


The tension in the string is given by the equation:

T = m v2 / r
= mw2r

where:

T is the tension in the string
m is the mass of the bob
v is the speed of the bob
r is the radius of the circle

In this problem, the mass of the bob and the radius of the circle remain constant. Therefore, we can simplify the equation to:

T ∝ w2
This means that the tension in the string is proportional to the square of the speed of the bob.
If the speed of the bob doubles, the tension in the string will increase by a factor of 2×2 = 4.

Therefore, the correct answer is 4T.


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