A particle of mass m is present in a region where the potential energy of the particle depends on the x-coordinate according to the expression `U=(a)/(x^2)-(b)/(x)`, where a and b are positive constant. The particle will perform.

A partical of mass m is located in a unidimensionnal potential field where potentical energy of the partical depends on the coordinates x as U (x) = (A)/(x^(2)) - (B)/(x) where A and B are positive constant. Find the time period of small oscillation that the partical perform about equilibrium possition.

A partical of mass m is located in a unidimensionnal potential field where potentical energy of the partical depends on the coordinates x as U (x) = (A)/(x^(2)) - (B)/(x) where A and B are positive constant. Find the time period of small oscillation that the partical perform about equilibrium possition.

A particle of mass m is located in a region where its potential energy [U(x)] depends on the position x as potential Energy [U(x)]=(a)/(x^2)-(b)/(x) here a and b are positive constants… (i) Write dimensional formula of a and b (ii) If the time perios of oscillation which is calculated from above formula is stated by a student as T=4piasqrt((ma)/(b^2)) , Check whether his answer is dimensionally correct.

A particle of mass m is located in a region where its potential energy [U(x)] depends on the position x as potential Energy [U(x)]=(1)/(x^2)-(b)/(x) here a and b are positive constants… (i) Write dimensional formula of a and b (ii) If the time perios of oscillation which is calculated from above formula is stated by a student as T=4piasqrt((ma)/(b^2)) , Check whether his answer is dimensionally correct.

A particle of mass m is located in a region where its potential energy [U(x)] depends on the position x as potential Energy [U(x)]=(a)/(x^2)-(b)/(x) here a and b are positive constants… (i) Write dimensional formula of a and b (ii) If the time perios of oscillation which is calculated from above formula is stated by a student as T=4piasqrt((ma)/(b^2)) , Check whether his answer is dimensionally correct.

A particle of mass m is located in a region where its potential energy [U(x)] depends on the position x as potential Energy [U(x)]=(1)/(x^2)-(b)/(x) here a and b are positive constants… (i) Write dimensional formula of a and b (ii) If the time perios of oscillation which is calculated from above formula is stated by a student as T=4piasqrt((ma)/(b^2)) , Check whether his answer is dimensionally correct.

The potential energy of a particle depends on its x-coordinates as U=(Asqrt(x))/(x^2 +B) , where A and B are dimensional constants. What will be the dimensional formula for A/B?

A particle of mass m is located in a one dimensional potential field where potential energy of the particle has the form u(x) = a/x^(2)-b/x) , where a and b are positive constants. Find the period of small oscillations of the particle.