362796
A clyclotron in which protons are accelerated has a magnetic flux density of 1.57\(T\). The variation of frequency of electric field is (in \(Hz\))
1 \(8.4 \times 10^{8}\)
2 \(4.8 \times 10^{8}\)
3 \(4.8 \times 10^{6}\)
4 \(2.5 \times 10^{7}\)
Explanation:
The variation frequency of electric field in cyclotron is to be equal to frequency of circular motion of charged particle in magnetic filed. \(\begin{aligned}n=\dfrac{B q}{2 \pi m} & {\left[\because \quad v=\dfrac{B q r}{m} \Rightarrow \omega=\dfrac{B q}{m} \Rightarrow n=\dfrac{B q}{2 \pi m}\right] } \\& =\dfrac{1.57 \times 1.6 \times 10^{-19}}{2 \pi \times 1.6 \times 10^{-27}} \\& =0.25 \times 10^{8} \mathrm{~Hz}\end{aligned}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362797
Inside a cyclotron, a charged particle is subjected to both an electric field and a magnetic field. It gains kinetic due to:
1 Only the electric field
2 Only the magnetic field
3 Both the fields
4 None of the fields
Explanation:
Magnetic force does no work on the charged particle. Hence, gain in kinetic energy of a charged particle in a cyclotron depends only on electric field.
PHXII04:MOVING CHARGES AND MAGNETISM
362798
In a cyclotron a charged particle
1 Undergoes acceleration all the time
2 Speeds up between the dees because of the magnetic field
3 Speeds up in a dee
4 Slows down within a dee and speeds up between dees
Explanation:
The charged particle undergoes acceleration as it is in circular motion inside the cyclotron.
NCERT Exemplar
PHXII04:MOVING CHARGES AND MAGNETISM
362799
Frequency of \(a\) charge in cyclotron depends on
1 Mangetic field
2 Charge
3 Mass
4 All the above
Explanation:
Cyclotron frequency, \(n=\dfrac{1}{T}=\dfrac{v}{2 \pi r}\) Or \(\quad n=\dfrac{v}{2 \pi}\left(\dfrac{B q}{m v}\right) \quad\left[\because r=\dfrac{m v}{B q}\right]\) Or, \(\quad n=\dfrac{B q}{2 \pi m}\) Thus, cyclotron frequency depends upon B, q and \(\mathrm{m}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362800
Assertion : A charged particle can be accelerated in a cyclotron by the alternate distribution of the field. Reason : Energy of charged particle is increased by the field applied.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
A cyclotron is used to accelerate by \(F\) charged particles to high energies by applying alternating electric and magnetic fields. These fields act on the charged particle to increase its energy \(E_{k}\) as it moves in a circular path within the cyclotron. Here \(F=q v B\) \(E_{k}=\dfrac{q^{2} B^{2} r^{2}}{2 m}\) So correct option is (1).
362796
A clyclotron in which protons are accelerated has a magnetic flux density of 1.57\(T\). The variation of frequency of electric field is (in \(Hz\))
1 \(8.4 \times 10^{8}\)
2 \(4.8 \times 10^{8}\)
3 \(4.8 \times 10^{6}\)
4 \(2.5 \times 10^{7}\)
Explanation:
The variation frequency of electric field in cyclotron is to be equal to frequency of circular motion of charged particle in magnetic filed. \(\begin{aligned}n=\dfrac{B q}{2 \pi m} & {\left[\because \quad v=\dfrac{B q r}{m} \Rightarrow \omega=\dfrac{B q}{m} \Rightarrow n=\dfrac{B q}{2 \pi m}\right] } \\& =\dfrac{1.57 \times 1.6 \times 10^{-19}}{2 \pi \times 1.6 \times 10^{-27}} \\& =0.25 \times 10^{8} \mathrm{~Hz}\end{aligned}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362797
Inside a cyclotron, a charged particle is subjected to both an electric field and a magnetic field. It gains kinetic due to:
1 Only the electric field
2 Only the magnetic field
3 Both the fields
4 None of the fields
Explanation:
Magnetic force does no work on the charged particle. Hence, gain in kinetic energy of a charged particle in a cyclotron depends only on electric field.
PHXII04:MOVING CHARGES AND MAGNETISM
362798
In a cyclotron a charged particle
1 Undergoes acceleration all the time
2 Speeds up between the dees because of the magnetic field
3 Speeds up in a dee
4 Slows down within a dee and speeds up between dees
Explanation:
The charged particle undergoes acceleration as it is in circular motion inside the cyclotron.
NCERT Exemplar
PHXII04:MOVING CHARGES AND MAGNETISM
362799
Frequency of \(a\) charge in cyclotron depends on
1 Mangetic field
2 Charge
3 Mass
4 All the above
Explanation:
Cyclotron frequency, \(n=\dfrac{1}{T}=\dfrac{v}{2 \pi r}\) Or \(\quad n=\dfrac{v}{2 \pi}\left(\dfrac{B q}{m v}\right) \quad\left[\because r=\dfrac{m v}{B q}\right]\) Or, \(\quad n=\dfrac{B q}{2 \pi m}\) Thus, cyclotron frequency depends upon B, q and \(\mathrm{m}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362800
Assertion : A charged particle can be accelerated in a cyclotron by the alternate distribution of the field. Reason : Energy of charged particle is increased by the field applied.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
A cyclotron is used to accelerate by \(F\) charged particles to high energies by applying alternating electric and magnetic fields. These fields act on the charged particle to increase its energy \(E_{k}\) as it moves in a circular path within the cyclotron. Here \(F=q v B\) \(E_{k}=\dfrac{q^{2} B^{2} r^{2}}{2 m}\) So correct option is (1).
362796
A clyclotron in which protons are accelerated has a magnetic flux density of 1.57\(T\). The variation of frequency of electric field is (in \(Hz\))
1 \(8.4 \times 10^{8}\)
2 \(4.8 \times 10^{8}\)
3 \(4.8 \times 10^{6}\)
4 \(2.5 \times 10^{7}\)
Explanation:
The variation frequency of electric field in cyclotron is to be equal to frequency of circular motion of charged particle in magnetic filed. \(\begin{aligned}n=\dfrac{B q}{2 \pi m} & {\left[\because \quad v=\dfrac{B q r}{m} \Rightarrow \omega=\dfrac{B q}{m} \Rightarrow n=\dfrac{B q}{2 \pi m}\right] } \\& =\dfrac{1.57 \times 1.6 \times 10^{-19}}{2 \pi \times 1.6 \times 10^{-27}} \\& =0.25 \times 10^{8} \mathrm{~Hz}\end{aligned}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362797
Inside a cyclotron, a charged particle is subjected to both an electric field and a magnetic field. It gains kinetic due to:
1 Only the electric field
2 Only the magnetic field
3 Both the fields
4 None of the fields
Explanation:
Magnetic force does no work on the charged particle. Hence, gain in kinetic energy of a charged particle in a cyclotron depends only on electric field.
PHXII04:MOVING CHARGES AND MAGNETISM
362798
In a cyclotron a charged particle
1 Undergoes acceleration all the time
2 Speeds up between the dees because of the magnetic field
3 Speeds up in a dee
4 Slows down within a dee and speeds up between dees
Explanation:
The charged particle undergoes acceleration as it is in circular motion inside the cyclotron.
NCERT Exemplar
PHXII04:MOVING CHARGES AND MAGNETISM
362799
Frequency of \(a\) charge in cyclotron depends on
1 Mangetic field
2 Charge
3 Mass
4 All the above
Explanation:
Cyclotron frequency, \(n=\dfrac{1}{T}=\dfrac{v}{2 \pi r}\) Or \(\quad n=\dfrac{v}{2 \pi}\left(\dfrac{B q}{m v}\right) \quad\left[\because r=\dfrac{m v}{B q}\right]\) Or, \(\quad n=\dfrac{B q}{2 \pi m}\) Thus, cyclotron frequency depends upon B, q and \(\mathrm{m}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362800
Assertion : A charged particle can be accelerated in a cyclotron by the alternate distribution of the field. Reason : Energy of charged particle is increased by the field applied.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
A cyclotron is used to accelerate by \(F\) charged particles to high energies by applying alternating electric and magnetic fields. These fields act on the charged particle to increase its energy \(E_{k}\) as it moves in a circular path within the cyclotron. Here \(F=q v B\) \(E_{k}=\dfrac{q^{2} B^{2} r^{2}}{2 m}\) So correct option is (1).
362796
A clyclotron in which protons are accelerated has a magnetic flux density of 1.57\(T\). The variation of frequency of electric field is (in \(Hz\))
1 \(8.4 \times 10^{8}\)
2 \(4.8 \times 10^{8}\)
3 \(4.8 \times 10^{6}\)
4 \(2.5 \times 10^{7}\)
Explanation:
The variation frequency of electric field in cyclotron is to be equal to frequency of circular motion of charged particle in magnetic filed. \(\begin{aligned}n=\dfrac{B q}{2 \pi m} & {\left[\because \quad v=\dfrac{B q r}{m} \Rightarrow \omega=\dfrac{B q}{m} \Rightarrow n=\dfrac{B q}{2 \pi m}\right] } \\& =\dfrac{1.57 \times 1.6 \times 10^{-19}}{2 \pi \times 1.6 \times 10^{-27}} \\& =0.25 \times 10^{8} \mathrm{~Hz}\end{aligned}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362797
Inside a cyclotron, a charged particle is subjected to both an electric field and a magnetic field. It gains kinetic due to:
1 Only the electric field
2 Only the magnetic field
3 Both the fields
4 None of the fields
Explanation:
Magnetic force does no work on the charged particle. Hence, gain in kinetic energy of a charged particle in a cyclotron depends only on electric field.
PHXII04:MOVING CHARGES AND MAGNETISM
362798
In a cyclotron a charged particle
1 Undergoes acceleration all the time
2 Speeds up between the dees because of the magnetic field
3 Speeds up in a dee
4 Slows down within a dee and speeds up between dees
Explanation:
The charged particle undergoes acceleration as it is in circular motion inside the cyclotron.
NCERT Exemplar
PHXII04:MOVING CHARGES AND MAGNETISM
362799
Frequency of \(a\) charge in cyclotron depends on
1 Mangetic field
2 Charge
3 Mass
4 All the above
Explanation:
Cyclotron frequency, \(n=\dfrac{1}{T}=\dfrac{v}{2 \pi r}\) Or \(\quad n=\dfrac{v}{2 \pi}\left(\dfrac{B q}{m v}\right) \quad\left[\because r=\dfrac{m v}{B q}\right]\) Or, \(\quad n=\dfrac{B q}{2 \pi m}\) Thus, cyclotron frequency depends upon B, q and \(\mathrm{m}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362800
Assertion : A charged particle can be accelerated in a cyclotron by the alternate distribution of the field. Reason : Energy of charged particle is increased by the field applied.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
A cyclotron is used to accelerate by \(F\) charged particles to high energies by applying alternating electric and magnetic fields. These fields act on the charged particle to increase its energy \(E_{k}\) as it moves in a circular path within the cyclotron. Here \(F=q v B\) \(E_{k}=\dfrac{q^{2} B^{2} r^{2}}{2 m}\) So correct option is (1).
362796
A clyclotron in which protons are accelerated has a magnetic flux density of 1.57\(T\). The variation of frequency of electric field is (in \(Hz\))
1 \(8.4 \times 10^{8}\)
2 \(4.8 \times 10^{8}\)
3 \(4.8 \times 10^{6}\)
4 \(2.5 \times 10^{7}\)
Explanation:
The variation frequency of electric field in cyclotron is to be equal to frequency of circular motion of charged particle in magnetic filed. \(\begin{aligned}n=\dfrac{B q}{2 \pi m} & {\left[\because \quad v=\dfrac{B q r}{m} \Rightarrow \omega=\dfrac{B q}{m} \Rightarrow n=\dfrac{B q}{2 \pi m}\right] } \\& =\dfrac{1.57 \times 1.6 \times 10^{-19}}{2 \pi \times 1.6 \times 10^{-27}} \\& =0.25 \times 10^{8} \mathrm{~Hz}\end{aligned}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362797
Inside a cyclotron, a charged particle is subjected to both an electric field and a magnetic field. It gains kinetic due to:
1 Only the electric field
2 Only the magnetic field
3 Both the fields
4 None of the fields
Explanation:
Magnetic force does no work on the charged particle. Hence, gain in kinetic energy of a charged particle in a cyclotron depends only on electric field.
PHXII04:MOVING CHARGES AND MAGNETISM
362798
In a cyclotron a charged particle
1 Undergoes acceleration all the time
2 Speeds up between the dees because of the magnetic field
3 Speeds up in a dee
4 Slows down within a dee and speeds up between dees
Explanation:
The charged particle undergoes acceleration as it is in circular motion inside the cyclotron.
NCERT Exemplar
PHXII04:MOVING CHARGES AND MAGNETISM
362799
Frequency of \(a\) charge in cyclotron depends on
1 Mangetic field
2 Charge
3 Mass
4 All the above
Explanation:
Cyclotron frequency, \(n=\dfrac{1}{T}=\dfrac{v}{2 \pi r}\) Or \(\quad n=\dfrac{v}{2 \pi}\left(\dfrac{B q}{m v}\right) \quad\left[\because r=\dfrac{m v}{B q}\right]\) Or, \(\quad n=\dfrac{B q}{2 \pi m}\) Thus, cyclotron frequency depends upon B, q and \(\mathrm{m}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362800
Assertion : A charged particle can be accelerated in a cyclotron by the alternate distribution of the field. Reason : Energy of charged particle is increased by the field applied.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
A cyclotron is used to accelerate by \(F\) charged particles to high energies by applying alternating electric and magnetic fields. These fields act on the charged particle to increase its energy \(E_{k}\) as it moves in a circular path within the cyclotron. Here \(F=q v B\) \(E_{k}=\dfrac{q^{2} B^{2} r^{2}}{2 m}\) So correct option is (1).
