mass m1 strikes m2 which is at rest the ratio of masses for

Mass $${m_1}$$ strikes $${m_2}$$ which is at rest. The ratio of masses for which they will collide again (collision between ball and wall are elastic, coefficient of restitution between $${m_1}$$ and $${m_2}$$ is $$e$$ and all the surfaces are smooth.)
Work Energy and Power mcq question image

Work Energy and Power mcq question image

A. $$ < \frac{e}{{2 + e}}$$

B. $$ > \frac{{2e}}{{2 + e}}$$

C. $$ \geqslant \frac{e}{{2\left( {2 + e} \right)}}$$

D. None of the above

Answer : $$ < \frac{e}{{2 + e}}$$

Solution :
$${m_1}v = - {m_1}{v_1} + {m_2}{v_2},$$
$$e = \frac{{2{v_1}}}{v}$$ for limiting condition
$$\frac{{{m_1}}}{{{m_2}}} < \frac{e}{{2 + e}}$$

Releted MCQ Question on
Basic Physics >> Work Energy and Power

Releted Question 1

If a machine is lubricated with oil-

A. the mechanical advantage of the machine increases.

B. the mechanical efficiency of the machine increases.

C. both its mechanical advantage and efficiency increase.

D. its efficiency increases, but its mechanical advantage decreases.

View Answer

Releted Question 2

Two masses of $$1 \,gm$$ and $$4 \,gm$$ are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is-

A. $$4:1$$

B. $$\sqrt 2 :1$$

C. $$1:2$$

D. $$1:16$$

View Answer

Releted Question 3

A particle of mass $$m$$ is moving in a circular path of constant radius $$r$$ such that its centripetal acceleration $${a_c}$$ is varying with time $$t$$ as $${a_c} = {k^2}r{t^2}$$ where $$k$$ is a constant. The power delivered to the particles by the force acting on it is:

A. $$2\pi m{k^2}{r^2}t$$

B. $$m{k^2}{r^2}t$$

C. $$\frac{{\left( {m{k^4}{r^2}{t^5}} \right)}}{3}$$

D. Zero

View Answer

Releted Question 4

A spring of force-constant $$k$$ is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force-constant of-

A. $$\left( {\frac{2}{3}} \right)k$$

B. $$\left( {\frac{3}{2}} \right)k$$

C. $$3k$$

D. $$6k$$

View Answer

Mass $${m_1}$$ strikes $${m_2}$$ which is at rest. The ratio of masses for which they will collide again (collision between ball and wall are elastic, coefficient of restitution between $${m_1}$$ and $${m_2}$$ is $$e$$ and all the surfaces are smooth.)

Releted MCQ Question on
Basic Physics >> Work Energy and Power

If a machine is lubricated with oil-

Two masses of $$1 \,gm$$ and $$4 \,gm$$ are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is-

A particle of mass $$m$$ is moving in a circular path of constant radius $$r$$ such that its centripetal acceleration $${a_c}$$ is varying with time $$t$$ as $${a_c} = {k^2}r{t^2}$$ where $$k$$ is a constant. The power delivered to the particles by the force acting on it is:

A spring of force-constant $$k$$ is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force-constant of-

Practice More Releted MCQ Question on
Work Energy and Power

Practice More MCQ Question on Physics Section

Mass $${m_1}$$ strikes $${m_2}$$ which is at rest. The ratio of masses for which they will collide again (collision between ball and wall are elastic, coefficient of restitution between $${m_1}$$ and $${m_2}$$ is $$e$$ and all the surfaces are smooth.)

Releted MCQ Question on Basic Physics >> Work Energy and Power

If a machine is lubricated with oil-

Two masses of $$1 \,gm$$ and $$4 \,gm$$ are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is-

A particle of mass $$m$$ is moving in a circular path of constant radius $$r$$ such that its centripetal acceleration $${a_c}$$ is varying with time $$t$$ as $${a_c} = {k^2}r{t^2}$$ where $$k$$ is a constant. The power delivered to the particles by the force acting on it is:

A spring of force-constant $$k$$ is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force-constant of-

Practice More Releted MCQ Question on Work Energy and Power

Practice More MCQ Question on Physics Section

Releted MCQ Question on
Basic Physics >> Work Energy and Power

Practice More Releted MCQ Question on
Work Energy and Power