(D) Let $\lambda$ be the linear mass density of the chain,so $\lambda = \frac{m}{L}$.The mass of the chain on one side is $m_1 = \lambda l$ and on the

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(D) Let $\lambda$ be the linear mass density of the chain,so $\lambda = \frac{m}{L}$.The mass of the chain on one side is $m_1 = \lambda l$ and on the other side is $m_2 = \lambda (L - l)$.The net force on the chain is $F_{net} = (m_2 - m_1)g = \lambda(L - l - l)g = \lambda(L - 2l)g$.The total mass of the chain is $m = \lambda L$.The acceleration $a$ of the chain is given by $a = \frac{F_{net}}{m} = \frac{\lambda(L - 2l)g}{\lambda L} = \frac{(L - 2l)g}{L}$.Given that $a = \frac{g}{2}$ when $l = \frac{L}{x}$,we substitute these values:$\frac{g}{2} = \frac{(L - 2(\frac{L}{x}))g}{L}$$\frac{1}{2} = 1 - \frac{2}{x}$$\frac{2}{x} = 1 - \frac{1}{2} = \frac{1}{2}$$x = 4$.

Class 11 Physics Newton's Laws of Motion and Friction Tension Force and Pulley Block System

Difficult

$A$ uniform metal chain of mass $m$ and length $L$ passes over a massless and frictionless pulley. It is released from rest with a part of its length $l$ hanging on one side and the rest of its length $L - l$ hanging on the other side of the pulley. At a certain point in time,when $l = \frac{L}{x}$,the acceleration of the chain is $\frac{g}{2}$. The value of $x$ is ........

JEE MAIN 2022 All JEE MAIN

A
$6$
B
$2$
C
$1.5$
D
$4$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Newton's Laws of Motion and Friction

Subtopic

Tension Force and Pulley Block System

Previous Year

JEE MAIN 2022 Paper All JEE MAIN years →

$A$ frictionless pulley is attached to one arm of a balance and a string passed around it carries two masses $m_1$ and $m_2$. The pulley is provided with a clamp due to which $m_1$ and $m_2$ do not move with respect to each other. On removing the clamp,$m_1$ and $m_2$ start moving. How much change in counter mass has to be made to restore balance?

View Solution

$A$ light string passing over a smooth light fixed pulley connects two blocks of masses $m_1$ and $m_2$. If the acceleration of the system is $g / 8$,then the ratio of masses is

DifficultAIEEE 2002

View Solution

Consider a situation in which both the horizontal and vertical surfaces of the block $M_0$ are smooth,as shown in the adjoining figure. $A$ force $F$ is applied to $M_0$. Mark the correct statement$(s)$.

Difficult

View Solution

$A$ uniform chain of length $2L$ is hanging in an equilibrium position. If end $B$ is given a slightly downward displacement,the imbalance causes an acceleration. Here,the pulley is small and smooth,and the string is inextensible. Find the velocity $v$ of the chain when it slips out of the pulley (height of pulley from floor $> 2L$).

View Solution

Two blocks are connected by a string as shown in the diagram. The upper block is hung by another string. $A$ force $F$ applied on the upper string produces an acceleration of $2\,m/s^2$ in the upward direction in both the blocks. If $T$ and $T'$ are the tensions in the two parts of the string,then $T$ and $T'$ are:

Difficult

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Similar Questions

$A$ light string passing over a smooth light fixed pulley connects two blocks of masses $m_1$ and $m_2$. If the acceleration of the system is $g / 8$,then the ratio of masses is

Consider a situation in which both the horizontal and vertical surfaces of the block $M_0$ are smooth,as shown in the adjoining figure. $A$ force $F$ is applied to $M_0$. Mark the correct statement$(s)$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module