Question:
If the ground state energy of a particle in an infinite potential well of width L1 is equal to the energy of the second excited state in another infinite potential well of width L2, then the ratio \(\frac{L_1}{L_2}\) is equal to
If the ground state energy of a particle in an infinite potential well of width L1 is equal to the energy of the second excited state in another infinite potential well of width L2, then the ratio \(\frac{L_1}{L_2}\) is equal to
Updated On: Oct 1, 2024
- 1
- \(\frac{1}{3}\)
- \(\frac{1}{\sqrt3}\)
- \(\frac{1}{9}\)
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct option is (B) : \(\frac{1}{3}\).
Was this answer helpful?
0
0
Top Questions on Mechanics and General Properties of Matter
- The total number of Na and Cl ions per unit cell of the NaCl crystal is:
- IIT JAM - 2024
- Physics
- Mechanics and General Properties of Matter
- An incompressible fluid is flowing through a vertical pipe (height h and crosssectional area π΄π). A thin mesh, having n circular holes of area π΄β is fixed at the bottom end of the pipe. The speed of the fluid entering the top-end of the pipe is π£π. The volume flow rate from an individual hole of the mesh is given by:
(g is the acceleration due to gravity)- IIT JAM - 2024
- Physics
- Mechanics and General Properties of Matter
- A tank, placed on the ground, is filled with water up to a height β. A small hole is made at a height β1 such that β1 < β. The water jet emerging from the hole strikes
the ground at a horizontal distance D, as shown schematically in the figure. Which of the following statements is correct? (g is the acceleration due to gravity)- IIT JAM - 2024
- Physics
- Mechanics and General Properties of Matter
- A spring-mass system (spring constant 80N/m and damping coefficient 40N-s/m), initially at rest, is lying along the y-axis in the horizontal plane. One end of the spring is fixed and the mass (5kg) is attached at its other end. The mass is pulled along the y-axis by 0.5m from its equilibrium position and then released. Choose the correct statement(s).
(Ignore mass of the spring)- IIT JAM - 2024
- Physics
- Mechanics and General Properties of Matter
- A particle of mass m, having an energy E and angular momentum L, is in a parabolic trajectory around a planet of mass M. If the distance of the closest approach to the planet is rm, which of the following statement(s) is(are) true?
(G is the Gravitational constant)- IIT JAM - 2024
- Physics
- Mechanics and General Properties of Matter
View More Questions
Questions Asked in IIT JAM exam
- Two sides of a triangle OAB are given by:
\(\overrightarrow{ππ΄} = π₯Μ + 2π¦Μ + π§Μ \)
\(\overrightarrow{πB}= 2π₯Μ β π¦Μ + 3π§Μ \)
The area of the triangle is _______. (Rounded off to one decimal place)- IIT JAM - 2024
- Mathematical Methods
- When a system of multiple long narrow slits (width 2Β΅m and period 4Β΅m) is illuminated with a laser of wavelength 600nm. There are 40 minima between the two consecutive principal maxima observed in its diffraction pattern. Then maximum resolving power of the system is _______
- IIT JAM - 2024
- kinetic theory
- One mole of an ideal monoatomic gas is heated in a closed container, first from 273K to 303K, and then from 303K to 373K. The net change in the entropy is ______R. (Rounded off to two decimal places) (R is the ideal gas constant)
- IIT JAM - 2024
- Modern Physics
- In a Newtonβs rings experiment (using light of free space wavelength 580nm), there is an air gap of height d between the glass plate and a plano-convex lens (see figure). The central fringe is observed to be bright.
The least possible value of d (in nm) is:- IIT JAM - 2024
- Modern Physics
- The value of the line integral for the vector,
\(\overrightarrowπ£=2π₯Μ +π¦π§ ^2π¦Μ +(3π¦+π§ ^2 )π§Μ \)
along the closed path OABO (as shown in the figure) is:
(Path AB is the arc of a circle of unit radius)- IIT JAM - 2024
- Mathematical Methods
View More Questions