NEET Questions

🎓 Ncert Level:Understanding

⚡ Time Required :1 mins

🔄Ncert Concepts :Kinetic Energy, Work, Centripetal Force, Circular Motion

32.

A particle is projected with kinetic energy $K$ at an angle of $60^\circ$ with the horizontal. The kinetic energy of the particle at the highest point of its trajectory will be:

A

$K$

B

$K/2$

C

$K/4$

D

0

Question Tags

⚡ Time Required :2 mins

🔄Ncert Concepts :Kinetic Energy, Projectile Motion, Velocity

33.

A block of mass $m$ is released from rest at a height $h$ on a smooth inclined plane of inclination $heta$ . The kinetic energy of the block at the bottom of the incline is:

A

$mgh\sinheta$

B

$mgh\cosheta$

C

$mgh$

D

$\frac{1}{2}mgh$

Question Tags

⚡ Time Required :2 mins

🔄Ncert Concepts :Kinetic Energy, Potential Energy, Conservation of Energy, Inclined Plane

34.

A particle moves in one dimension under the influence of a conservative force with potential energy $U(x) = ax^3 - bx$ , where $a$ and $b$ are positive constants. The equilibrium position of the particle is at:

A

$x = 0$

B

$x = \sqrt{b/a}$

C

$x = \sqrt{b/3a}$

D

$x = -\sqrt{b/3a}$

Question Tags

⚡ Time Required :2 mins

🔄Ncert Concepts :Kinetic Energy, Potential Energy, Equilibrium, Calculus

35.

A particle moves along the x-axis under the influence of a variable force $F(x) = \frac{a}{x^2} - \frac{b}{x^3}$ , where 'a' and 'b' are positive constants. If the particle starts from rest at $x = x_0$ , what is the work done by the force when the particle reaches $x = 2x_0$ ?

A

a/(2x0) - 3b/(8x0²)

B

a/(x0) - b/(x0²)

C

a/(4x0) - b/(2x0²)

D

2a/(x0) - 3b/(x0²)

Question Tags

🔄Ncert Concepts :Work-Energy Theorem, Variable Force, Integration

36.

A particle of mass 'm' is subjected to a force $F = -kx + \frac{F_0}{x^2}$ , where 'k' and ' $F_0$ ' are positive constants. If the particle starts from rest at $x=a$ , what is its speed when it reaches $x=\frac{a}{2}$ ?

A

$\sqrt{\frac{ka^2}{4m}}$

B

$\sqrt{\frac{2F_0}{am}}$

C

$\sqrt{\frac{k(a^2-\frac{a^2}{4}) + 2F_0(\frac{2}{a}-\frac{1}{a})}{m}}$

D

$\sqrt{\frac{ka^2 + 4F_0}{2am}}$

Question Tags

⚡ Time Required :4 mins

🔄Ncert Concepts :Work-Energy Theorem, Variable Force, Kinetic Energy

37.

A particle of mass 'm' moves along the x-axis under the influence of a force given by $F(x) = -\frac{k}{2x^2}$ , where 'k' is a positive constant. If the particle starts from rest at $x = a$ , what is its velocity when it reaches $x = 2a$ ?

A

$\sqrt{\frac{k}{ma}}$

B

$\sqrt{\frac{k}{2ma}}$

C

$\sqrt{\frac{2k}{ma}}$

D

$\frac{k}{2ma}$

Question Tags

🔄Ncert Concepts :Work-Energy Theorem, Variable Force, Kinetic Energy

38.

A particle of mass $m$ moves along the x-axis under the influence of a variable force $F(x) = -kx + \frac{a}{x^3}$ , where $k$ and $a$ are positive constants. If the particle starts from rest at $x = x_0$ , what is its speed when it reaches $x = \frac{x_0}{2}$ ?

A

$v = \sqrt{\frac{3}{m}(\frac{kx_0^2}{4} - \frac{a}{x_0^2})}$

B

$v = \sqrt{\frac{3}{m}(\frac{kx_0^2}{2} - \frac{a}{2x_0^2})}$

C

$v = \sqrt{\frac{k}{m}(x_0^2 - \frac{x_0^2}{4})}$

D

$v = \sqrt{\frac{2}{m}(\frac{kx_0^2}{2} - \frac{2a}{x_0^2})}$

Question Tags

🔄Ncert Concepts :Work Energy Theorem, Variable Force, Integration, Kinetic Energy

39.

A particle moves along the x-axis under the influence of a conservative force given by $F(x) = -kx^3$ . If the particle is released from rest at $x = A$ , what is its speed when it reaches $x = A/2$ ?

A

A*sqrt(3k/(4m))

B

A^2*sqrt(15k/(32m))

C

A^2*sqrt(k/(8m))

D

A*sqrt(15k/(2m))

Question Tags

🎯Topic:Potential Energy