NEET Questions

🎯Topic:Force

⚡ Time Required :2 mins

🔄Ncert Concepts :Work, Energy, Calculus, Variable Force

12.

A block of mass $2m$ is connected to another block of mass $m$ by a light inextensible string passing over a smooth pulley. The heavier block rests on a smooth horizontal table, while the lighter block hangs freely. The system is released from rest. If the heavier block is also connected to a light spring of spring constant $k$ , initially unstretched, what is the maximum extension of the spring?

A

$mg/k$

B

$2mg/k$

C

$4mg/k$

D

$mg/2k$

Question Tags

🎯Topic:Connected Bodies And Apparent Weight

🔄Ncert Concepts :Connected Bodies, Conservation of Energy, Spring Force

13.

A block of mass $m$ is projected with an initial velocity $v_0$ along a rough horizontal surface with a coefficient of kinetic friction $\mu_k$ . A constant horizontal force $F$ , opposite to the direction of motion, also acts on the block. If the block comes to rest after travelling a distance $d$ , which of the following expressions correctly relates $v_0$ , $\mu_k$ , $F$ , $m$ , $g$ , and $d$ ?

A

$\frac{1}{2}mv_0^2 = (F - \mu_k mg)d$

B

$mv_0^2 = (F + \mu_k mg)d$

C

$\frac{1}{2}mv_0^2 = (F + \mu_k mg)d$

D

$mv_0^2 = (F - \mu_k mg)d$

Question Tags

🎯Topic:Motion On A Horizontal Rough Surface

🔄Ncert Concepts :Work-Energy Theorem, Friction, Kinematics

14.

A block of mass $m$ slides down an inclined plane of angle $heta$ with the horizontal. The coefficient of kinetic friction between the block and the plane is $\mu_k$ . If the block starts from rest, what is its speed after sliding a distance $d$ along the plane?

A

$v = \sqrt{gd(sinheta - \mu_k cosheta)}$

B

$v = \sqrt{2gd(cosheta - \mu_k sinheta)}$

C

$v = \sqrt{2gd(sinheta - \mu_k cosheta)}$

D

$v = \sqrt{gd(cosheta - \mu_k sinheta)}$

Question Tags

🎯Topic:Motion On A Horizontal Rough Surface

🔄Ncert Concepts :Work-Energy Theorem, Friction, Inclined Plane

15.

A block is projected with speed $v$ on a rough horizontal surface. It comes to rest after covering a distance $d$ . If the coefficient of friction is $\mu$ , the initial speed $v$ is given by:

A

$v = \sqrt{\mu gd}$

B

$v = \sqrt{2\mu gd}$

C

$v = \sqrt{\frac{2gd}{\mu}}$

D

$v = \sqrt{\frac{gd}{\mu}}$

Question Tags

🎯Topic:Motion On A Horizontal Rough Surface

⚡ Time Required :2 mins

🔄Ncert Concepts :Work-Energy Theorem, Friction

16.

A solid cylinder of mass $M$ and radius $R$ rolls without slipping down a rough inclined plane of angle $heta$ . A block of the same mass $M$ slides down a frictionless inclined plane of the same angle $heta$ . If both start from rest at the same height, what is the ratio of the linear speeds of the cylinder and the block when they reach the bottom?

A

$\sqrt{\frac{2}{3}}$

B

$\sqrt{\frac{3}{2}}$

C

$\sqrt{2}$

D

$1$

Question Tags

🎯Topic:Motion Of A Body On The Inclined Plane

🔄Ncert Concepts :Motion on an Inclined Plane, Rotational Motion, Energy Conservation

17.

A block is projected up a rough inclined plane with initial speed $u$ . The coefficient of kinetic friction is $\mu_k$ . The block travels a distance $s$ up the incline before coming to rest. What is the angle of inclination $heta$ of the plane?

A

$tan^{-1}(\frac{u^2}{2gs} - \mu_k)$

B

$tan^{-1}(\frac{2gs}{u^2} - \mu_k)$

C

$tan^{-1}(\frac{u^2}{2gs} + \mu_k)$

D

$tan^{-1}(\frac{2gs}{u^2} + \mu_k)$

Question Tags

🎯Topic:Motion Of A Body On The Inclined Plane

🔄Ncert Concepts :Motion on an Inclined Plane, Work-Energy Theorem, Friction

18.

A small block slides down a smooth inclined plane of angle $heta$ from a height $h$ . It then smoothly transitions onto a horizontal surface with a coefficient of kinetic friction $\mu_k$ . What is the distance the block travels on the horizontal surface before coming to rest?

A

$\frac{h}{\mu_k}$

B

$h\mu_k$

C

$\frac{\mu_k}{h}$

D

$h$

Question Tags

🎯Topic:Motion Of A Body On The Inclined Plane

🔄Ncert Concepts :Motion on an Inclined Plane, Energy Conservation, Work-Energy Theorem, Friction

19.

If the percentage errors in the measurement of mass and velocity are 2% and 3% respectively, what is the maximum percentage error in the estimation of kinetic energy?

A

5%

B

6%

C

8%

D

11%

Question Tags

📑 Chapter:Units And Measurement

🎯Topic:Percentage Error