NEET UG PHYSICS MCQ: WORK-ENERGY-POWER

1 Medium

1 of 1

Analyzing +4 | -1

Potential energy function along

x

-axis in a certain force field is given as

U(x)=\frac{x^4}{4}-2 x^3+\frac{11}{2} x^2-6 x

. For the given force field,

(i) the points of equilibrium are

x=1, x=2

and

x=3

(ii) the points

x=2

is a point of unstable equilibrium

(iii) the points

x=1

and

x=3

are points of stable equilibrium

(iv) there exists no point of neutral equilibrium Which one of the following is the set of correct options?

View answer and explanation

Correct option: B

(i), (ii), (iii), (iv)

Option B ((i), (ii), (iii), (iv)) is correct. All the statements are correct based on the analysis of the potential energy function and its derivatives.

More Questions from WORK-ENERGY-POWER

Practice All Chapter MCQs →

{A}

ball is dropped on the ground from a height of

2 {~m}

. If the coefficient of restitution is 0.6 , the height to which the ball will rebound is A running man has the same kinetic energy as that of a boy of half his mass. The man speed up by

2\mathrm{\;m}{\mathrm{s}^{ - 1}}

and the boy changes his speed by

x = \mathrm{m}{\mathrm{s}^{ - 1}}

, so that the kinetic energies of the boy and the man are again equal. Then x in

\mathrm{m}{\mathrm{s}^{ - 1}}

is A force

\mathrm{\vec F} = - K\left( {y\hat i + x\hat j} \right)

(where K is a positive constant) acts on a particle moving in the x-y plane. Starting from the origin, the particle is taken along the positive x-axis to the point (a,0) and then parallel to the y-axis to the (a,a). The total work done by the force

\mathrm{\vec F}

on the particle is A motor is used to deliver water at a certain rate from a given pipe. To obtain 3 times water from same pipe in same time, by what factor should power of the motor be increased. A body projected vertically from the earth reaches a height equal to earth’s radius before returning to the earth. The power exerted by the gravitational force is greatest The speed limit of a car over a roadways bridge in the form of a vertical arc is

9.8\;\mathrm{m}{\mathrm{s}^{ - 1}}

. The diameter of the are is