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NEST2021PhysicsWork, Power and Energy

A particle with an initial kinetic energy E₀ approaches the origin from x=+ in the presence of a conservative potential. Consider following expressions for the corresponding potential energy V(x) where x is in meters: (i) V(x)=E₀ [1+ - (x / x₀ )^2 ] (ii) V(x)=E₀ [1+1.5 - ((x-5) / x₀ )^2 ] (iii) V(x)=E₀ [1-0.5 - ((x-5) / x₀ )^2 ] (iv) V(x)= E₀ ((x-10) / x₀ )^2 [1-0.5 - ((x-5) / x₀ )^2 ] Here x₀=1 ~m . Select the corre

Options

  1. AThe particle will reverse its direction on reaching x=5 ~m for the potential energy given by expression (ii).
  2. BThe particle will reach x=10 ~m for the potential energy given by expression (iv).
  3. CThe particle will reach the origin for the potential energy given by expression (iii).
  4. DThe speed of the particle will decrease monotonically as the particle approaches the origin for the potential

Correct answer

D. The speed of the particle will decrease monotonically as the particle approaches the origin for the potential

Step-by-step solution

No solution available.

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