JEE Exam  >  JEE Questions  >  PASSAGE-3When a particle is restricted to mov... Start Learning for Free
PASSAGE-3
When a particle is restricted to move along x - axis between x  = 0 and x = a, where a  is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum as  Thus, the energy of the particle can be denoted by a quantum number ‘n’ taking values1, 2, 3, ... (n = 1, called the ground state) corresponding to the number of loops in the standing wave.
Use the model described above to answer the following three questions for a particle moving in the line x = 0 to x = a. Take h = 6.6 × 10–34 J s and e = 1.6 × 10–19 C.
Q. If the mass of the particle is m = 1.0 × 10–30 kg and a = 6.6 nm, the energy of the particle in its ground state is closest to
  • a)
    0.8 meV
  • b)
    8 meV
  • c)
    80 meV
  • d)
    800 meV
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
PASSAGE-3When a particle is restricted to move along x - axis between ...
For ground state n = 1,
Given m = 1.0 × 10–30 kg, a = 6.6 × 10–9 m
View all questions of this test
Explore Courses for JEE exam

Similar JEE Doubts

PASSAGE-3When a particle is restricted to move along x - axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum asThus, the energy of the particle can be denoted by a quantum number ‘n’ taking values1, 2, 3, ... (n = 1, called the ground state) corresponding to the number of loops in the standing wave.Use the model described above to answer the following three questions for a particle moving in the line x = 0 to x = a. Take h = 6.6 × 10–34 J s and e = 1.6 × 10–19 C.Q.If the mass of the particle is m = 1.0 × 10–30 kg and a = 6.6 nm, the energy of the particle in its ground state is closest toa)0.8 meVb)8 meVc)80 meVd)800 meVCorrect answer is option 'B'. Can you explain this answer?
Question Description
PASSAGE-3When a particle is restricted to move along x - axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum asThus, the energy of the particle can be denoted by a quantum number ‘n’ taking values1, 2, 3, ... (n = 1, called the ground state) corresponding to the number of loops in the standing wave.Use the model described above to answer the following three questions for a particle moving in the line x = 0 to x = a. Take h = 6.6 × 10–34 J s and e = 1.6 × 10–19 C.Q.If the mass of the particle is m = 1.0 × 10–30 kg and a = 6.6 nm, the energy of the particle in its ground state is closest toa)0.8 meVb)8 meVc)80 meVd)800 meVCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about PASSAGE-3When a particle is restricted to move along x - axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum asThus, the energy of the particle can be denoted by a quantum number ‘n’ taking values1, 2, 3, ... (n = 1, called the ground state) corresponding to the number of loops in the standing wave.Use the model described above to answer the following three questions for a particle moving in the line x = 0 to x = a. Take h = 6.6 × 10–34 J s and e = 1.6 × 10–19 C.Q.If the mass of the particle is m = 1.0 × 10–30 kg and a = 6.6 nm, the energy of the particle in its ground state is closest toa)0.8 meVb)8 meVc)80 meVd)800 meVCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for PASSAGE-3When a particle is restricted to move along x - axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum asThus, the energy of the particle can be denoted by a quantum number ‘n’ taking values1, 2, 3, ... (n = 1, called the ground state) corresponding to the number of loops in the standing wave.Use the model described above to answer the following three questions for a particle moving in the line x = 0 to x = a. Take h = 6.6 × 10–34 J s and e = 1.6 × 10–19 C.Q.If the mass of the particle is m = 1.0 × 10–30 kg and a = 6.6 nm, the energy of the particle in its ground state is closest toa)0.8 meVb)8 meVc)80 meVd)800 meVCorrect answer is option 'B'. Can you explain this answer?.
Solutions for PASSAGE-3When a particle is restricted to move along x - axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum asThus, the energy of the particle can be denoted by a quantum number ‘n’ taking values1, 2, 3, ... (n = 1, called the ground state) corresponding to the number of loops in the standing wave.Use the model described above to answer the following three questions for a particle moving in the line x = 0 to x = a. Take h = 6.6 × 10–34 J s and e = 1.6 × 10–19 C.Q.If the mass of the particle is m = 1.0 × 10–30 kg and a = 6.6 nm, the energy of the particle in its ground state is closest toa)0.8 meVb)8 meVc)80 meVd)800 meVCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of PASSAGE-3When a particle is restricted to move along x - axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum asThus, the energy of the particle can be denoted by a quantum number ‘n’ taking values1, 2, 3, ... (n = 1, called the ground state) corresponding to the number of loops in the standing wave.Use the model described above to answer the following three questions for a particle moving in the line x = 0 to x = a. Take h = 6.6 × 10–34 J s and e = 1.6 × 10–19 C.Q.If the mass of the particle is m = 1.0 × 10–30 kg and a = 6.6 nm, the energy of the particle in its ground state is closest toa)0.8 meVb)8 meVc)80 meVd)800 meVCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of PASSAGE-3When a particle is restricted to move along x - axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum asThus, the energy of the particle can be denoted by a quantum number ‘n’ taking values1, 2, 3, ... (n = 1, called the ground state) corresponding to the number of loops in the standing wave.Use the model described above to answer the following three questions for a particle moving in the line x = 0 to x = a. Take h = 6.6 × 10–34 J s and e = 1.6 × 10–19 C.Q.If the mass of the particle is m = 1.0 × 10–30 kg and a = 6.6 nm, the energy of the particle in its ground state is closest toa)0.8 meVb)8 meVc)80 meVd)800 meVCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for PASSAGE-3When a particle is restricted to move along x - axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum asThus, the energy of the particle can be denoted by a quantum number ‘n’ taking values1, 2, 3, ... (n = 1, called the ground state) corresponding to the number of loops in the standing wave.Use the model described above to answer the following three questions for a particle moving in the line x = 0 to x = a. Take h = 6.6 × 10–34 J s and e = 1.6 × 10–19 C.Q.If the mass of the particle is m = 1.0 × 10–30 kg and a = 6.6 nm, the energy of the particle in its ground state is closest toa)0.8 meVb)8 meVc)80 meVd)800 meVCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of PASSAGE-3When a particle is restricted to move along x - axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum asThus, the energy of the particle can be denoted by a quantum number ‘n’ taking values1, 2, 3, ... (n = 1, called the ground state) corresponding to the number of loops in the standing wave.Use the model described above to answer the following three questions for a particle moving in the line x = 0 to x = a. Take h = 6.6 × 10–34 J s and e = 1.6 × 10–19 C.Q.If the mass of the particle is m = 1.0 × 10–30 kg and a = 6.6 nm, the energy of the particle in its ground state is closest toa)0.8 meVb)8 meVc)80 meVd)800 meVCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice PASSAGE-3When a particle is restricted to move along x - axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation. The energy of the particle of mass m is related to its linear momentum asThus, the energy of the particle can be denoted by a quantum number ‘n’ taking values1, 2, 3, ... (n = 1, called the ground state) corresponding to the number of loops in the standing wave.Use the model described above to answer the following three questions for a particle moving in the line x = 0 to x = a. Take h = 6.6 × 10–34 J s and e = 1.6 × 10–19 C.Q.If the mass of the particle is m = 1.0 × 10–30 kg and a = 6.6 nm, the energy of the particle in its ground state is closest toa)0.8 meVb)8 meVc)80 meVd)800 meVCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev