# A light string passing over a smooth light pulley  connects two blocks of masses m1 and m2  ( vertically) .  If the acceleration of the system is g/8,  then the ratio of the masses is Option 1) 8 : 1 Option 2) 9 : 7 Option 3) 4 : 3 Option 4) 5 : 3

As we learnt in

Motion of connected blocks over pulley -

Equation of motion for   $m_{1}$

$F_{net}=T-m_{1}g=m_{1}a$

Equation of Motion for   $m_{2}$

$F_{net}=m_{2}g-T=m_{2}a$

- wherein

$a=\frac{[m_{2}-m_{1}\:]g}{m_{1}+m_{2}}$

$T=\frac{2m_{1}m_{2}\:g}{m_{1}+m_{2}}$

$\dpi{80} \frac{a}{g}=\frac{(m_{1}-m_{2})}{(m_{1}+m_{2})}$

$\dpi{80} \therefore\; \; \frac{1}{8}=\frac{(m_{1}-m_{2})}{(m_{1}+m_{2})}$

or  $\dpi{80} \frac{m_{1}}{m_{2}}=\frac{9}{7}$

Correct option is 2.

Option 1)

8 : 1

This is an incorrect option.

Option 2)

9 : 7

This is the correct option.

Option 3)

4 : 3

This is an incorrect option.

Option 4)

5 : 3

This is an incorrect option.

### Preparation Products

##### JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
##### Knockout JEE Main April 2021 (Subscription)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
##### Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
##### Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-