QJEEM22Ph51ae: JEE Main 2022 Physics - Class 11 JEEM22Ph51ae Solution: Two masses M 1 and M 2 are tied together at the two ends of a…

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QJEEM22Ph51ae: JEE Main 2022 Physics - Class 11 JEEM22Ph51ae Solution: Two masses M 1 and M 2 are tied together at the two ends of a…

Two masses $M_{1}$ and $M_{2}$ are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass $M_{2}$ is twice that of $M_{1}$ , the acceleration of the system is $a_{1}$ . When the mass $M_{2}$ is thrice that of $M_{1}$ , the acceleration of the system is $a_{2}$ . The ratio $\frac{a_{1}}{a_{2}}$ will be :

JEE Main 2022 (Online) 26th July Evening Shift Physics - Laws of Motion Question 48 English

Multiple Choice Options

A 13
B 23
C 32
D 12

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Accepted Answer

$a_{1} = \frac{M_{2} - M_{1}}{M_{2} + M_{1}} \times g = \frac{2 M_{1} - M_{1}}{3 M_{1}} \times g$

$= \frac{g}{3}$

And, $a_{2} = \frac{3 M_{1} - M_{1}}{4 M_{1}} \times g = \frac{g}{2}$

$∴$ $\frac{a_{1}}{a_{2}} = \frac{g / 3}{g / 2} = \frac{2}{3}$

QJEEM22Ph51ae: JEE Main 2022 Physics - Class 11 JEEM22Ph51ae Solution: Two masses M 1 and M 2 are tied together at the two ends of a…

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