Answer
64.8k+ views
Hint: Above problem is based on connected motion concept with the presence of second law of motion (Newton’s law of motion). In the connected system tension (force applied upwards due to the presence of pulley) is given as:
$T = \dfrac{{2{m_1}{m_2}g}}{{{m_1} + {m_2}}}$
Forces acting on a body balance each other, the force which is greater in magnitude exists in the system.
Like in the question pulley will move down if the downward force (mg) will be greater than tension.
Using the similar concept we will solve the problem.
Complete step by step solution:
We have ${x_1},{x_2},{x_3}$ proportional to tension T of the pulley:
So, we will find the tension T of the springs in each three cases by using the formula for tension of the connected system of motion.
$
\Rightarrow {T_1} = \dfrac{{2{m_1}{m_2}g}}{{{m_1} + {m_2}}} \\
\Rightarrow {T_1} = \dfrac{{2 \times 2 \times 2g}}{{2 + 2}} \\
\Rightarrow {T_1} = 2g \\
$
We have substituted the value of masses in the formula given and calculated T1.
Now, we will calculate tension for second diagram
$
\Rightarrow {T_2} = \dfrac{{2 \times 3 \times 2g}}{{3 + 2}} \\
\Rightarrow {T_2} = \dfrac{{12g}}{5} = 2.4g \\
$ (Tension calculated for second diagram)
Now, we will move on to the third figure:
$
\Rightarrow {T_3} = \frac{{2 \times 1 \times 2g}}{{2 + 1}} \\
\Rightarrow {T_3} = \frac{{4g}}{3} = 1.66g \\
$(Tension in figure 3 is calculated)
By observation we got;
${T_2} > {T_1} > {T_3}$
As $T \propto x$
Therefore, we can write as:
${x_2} > {x_1} > {x_3}$
Option: (D) is correct.
Note: We have a number of daily life examples where we are observing Newton’s second law of motion such as, hitting the golf ball, cricket ball, football with a force the more we exert force the more we will observe the reaction. As in our question above force having higher magnitude was existing in the system.
$T = \dfrac{{2{m_1}{m_2}g}}{{{m_1} + {m_2}}}$
Forces acting on a body balance each other, the force which is greater in magnitude exists in the system.
Like in the question pulley will move down if the downward force (mg) will be greater than tension.
Using the similar concept we will solve the problem.
Complete step by step solution:
We have ${x_1},{x_2},{x_3}$ proportional to tension T of the pulley:
So, we will find the tension T of the springs in each three cases by using the formula for tension of the connected system of motion.
$
\Rightarrow {T_1} = \dfrac{{2{m_1}{m_2}g}}{{{m_1} + {m_2}}} \\
\Rightarrow {T_1} = \dfrac{{2 \times 2 \times 2g}}{{2 + 2}} \\
\Rightarrow {T_1} = 2g \\
$
We have substituted the value of masses in the formula given and calculated T1.
Now, we will calculate tension for second diagram
$
\Rightarrow {T_2} = \dfrac{{2 \times 3 \times 2g}}{{3 + 2}} \\
\Rightarrow {T_2} = \dfrac{{12g}}{5} = 2.4g \\
$ (Tension calculated for second diagram)
Now, we will move on to the third figure:
$
\Rightarrow {T_3} = \frac{{2 \times 1 \times 2g}}{{2 + 1}} \\
\Rightarrow {T_3} = \frac{{4g}}{3} = 1.66g \\
$(Tension in figure 3 is calculated)
By observation we got;
${T_2} > {T_1} > {T_3}$
As $T \propto x$
Therefore, we can write as:
${x_2} > {x_1} > {x_3}$
Option: (D) is correct.
Note: We have a number of daily life examples where we are observing Newton’s second law of motion such as, hitting the golf ball, cricket ball, football with a force the more we exert force the more we will observe the reaction. As in our question above force having higher magnitude was existing in the system.
Recently Updated Pages
Write a composition in approximately 450 500 words class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Arrange the sentences P Q R between S1 and S5 such class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What is the common property of the oxides CONO and class 10 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What happens when dilute hydrochloric acid is added class 10 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
If four points A63B 35C4 2 and Dx3x are given in such class 10 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The area of square inscribed in a circle of diameter class 10 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Other Pages
Excluding stoppages the speed of a bus is 54 kmph and class 11 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
In the ground state an element has 13 electrons in class 11 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Electric field due to uniformly charged sphere class 12 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
A boat takes 2 hours to go 8 km and come back to a class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
According to classical free electron theory A There class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)