153706 Two electrons with initial speed $8\times {10}^6\mathrm{m}/\mathrm{s}$ are released into a space with magnetic field $B$. The first electron is released along the $\mathrm{X}$-axis and it moves in a straight line. The second electron is shot from the origin along the $\mathbf{Y}$-axis and it moves in a circle that intersects the $\mathrm{Z}$-axis at: $=$ $+18\mathrm{cm}$. The magnitude and direction of $\overrightarrow{B}$ is $({\mathrm{m}}_{\mathrm{e}}=\mathbf{9}\times {10}^{-31}\mathrm{kg})$

153707 A beam of protons enters a uniform magnetic field of $0.314\mathrm{T}$ with a velocity $4\times {10}^5{\mathrm{ms}}^{-1}$ in a direction making an angle ${60}^{\circ }$ with the direction of the magnetic field. The path of the beam is (mass of proton $=1.6\times {10}^{-27}\mathrm{kg}$ )

153708 A proton is moving with a uniform velocity of ${10}^6{\mathrm{ms}}^{-1}$ along the $\mathrm{Y}$-axis, under the joint action of a magnetic field along $Z$-axis and an electric field of magnitude $2\times {10}^4{\mathrm{Vm}}^{-1}$ along the negative $\mathrm{X}$-axis. If the electric field is switched off, the proton starts moving in a circle. The radius of the circle is nearly
$\text{ (given : }\frac{\mathrm{e}}{\mathrm{m}}\text{ ratio for proton }\approx {10}^8{\mathrm{Ckg}}^{-1})$

153709 A particle of charge $-16\times {10}^{-18}\mathrm{C}$ moving with velocity $10{\mathrm{ms}}^{-1}$ along the $X$-axis enters a region where a magnetic field of induction $B$ is along the $Y$ - axis and an electric field of magnitude ${10}^4\mathrm{V}/\mathrm{m}$ is along the negative $\mathrm{Z}$-axis. If the charged particle continues moving along the $\mathrm{X}$-axis, the magnitude of $\mathrm{B}$ is

153706 Two electrons with initial speed $8\times {10}^6\mathrm{m}/\mathrm{s}$ are released into a space with magnetic field $B$. The first electron is released along the $\mathrm{X}$-axis and it moves in a straight line. The second electron is shot from the origin along the $\mathbf{Y}$-axis and it moves in a circle that intersects the $\mathrm{Z}$-axis at: $=$ $+18\mathrm{cm}$. The magnitude and direction of $\overrightarrow{B}$ is $({\mathrm{m}}_{\mathrm{e}}=\mathbf{9}\times {10}^{-31}\mathrm{kg})$

153707 A beam of protons enters a uniform magnetic field of $0.314\mathrm{T}$ with a velocity $4\times {10}^5{\mathrm{ms}}^{-1}$ in a direction making an angle ${60}^{\circ }$ with the direction of the magnetic field. The path of the beam is (mass of proton $=1.6\times {10}^{-27}\mathrm{kg}$ )

153708 A proton is moving with a uniform velocity of ${10}^6{\mathrm{ms}}^{-1}$ along the $\mathrm{Y}$-axis, under the joint action of a magnetic field along $Z$-axis and an electric field of magnitude $2\times {10}^4{\mathrm{Vm}}^{-1}$ along the negative $\mathrm{X}$-axis. If the electric field is switched off, the proton starts moving in a circle. The radius of the circle is nearly
$\text{ (given : }\frac{\mathrm{e}}{\mathrm{m}}\text{ ratio for proton }\approx {10}^8{\mathrm{Ckg}}^{-1})$

153709 A particle of charge $-16\times {10}^{-18}\mathrm{C}$ moving with velocity $10{\mathrm{ms}}^{-1}$ along the $X$-axis enters a region where a magnetic field of induction $B$ is along the $Y$ - axis and an electric field of magnitude ${10}^4\mathrm{V}/\mathrm{m}$ is along the negative $\mathrm{Z}$-axis. If the charged particle continues moving along the $\mathrm{X}$-axis, the magnitude of $\mathrm{B}$ is

153706 Two electrons with initial speed $8\times {10}^6\mathrm{m}/\mathrm{s}$ are released into a space with magnetic field $B$. The first electron is released along the $\mathrm{X}$-axis and it moves in a straight line. The second electron is shot from the origin along the $\mathbf{Y}$-axis and it moves in a circle that intersects the $\mathrm{Z}$-axis at: $=$ $+18\mathrm{cm}$. The magnitude and direction of $\overrightarrow{B}$ is $({\mathrm{m}}_{\mathrm{e}}=\mathbf{9}\times {10}^{-31}\mathrm{kg})$

153707 A beam of protons enters a uniform magnetic field of $0.314\mathrm{T}$ with a velocity $4\times {10}^5{\mathrm{ms}}^{-1}$ in a direction making an angle ${60}^{\circ }$ with the direction of the magnetic field. The path of the beam is (mass of proton $=1.6\times {10}^{-27}\mathrm{kg}$ )

153708 A proton is moving with a uniform velocity of ${10}^6{\mathrm{ms}}^{-1}$ along the $\mathrm{Y}$-axis, under the joint action of a magnetic field along $Z$-axis and an electric field of magnitude $2\times {10}^4{\mathrm{Vm}}^{-1}$ along the negative $\mathrm{X}$-axis. If the electric field is switched off, the proton starts moving in a circle. The radius of the circle is nearly
$\text{ (given : }\frac{\mathrm{e}}{\mathrm{m}}\text{ ratio for proton }\approx {10}^8{\mathrm{Ckg}}^{-1})$

153709 A particle of charge $-16\times {10}^{-18}\mathrm{C}$ moving with velocity $10{\mathrm{ms}}^{-1}$ along the $X$-axis enters a region where a magnetic field of induction $B$ is along the $Y$ - axis and an electric field of magnitude ${10}^4\mathrm{V}/\mathrm{m}$ is along the negative $\mathrm{Z}$-axis. If the charged particle continues moving along the $\mathrm{X}$-axis, the magnitude of $\mathrm{B}$ is

153706 Two electrons with initial speed $8\times {10}^6\mathrm{m}/\mathrm{s}$ are released into a space with magnetic field $B$. The first electron is released along the $\mathrm{X}$-axis and it moves in a straight line. The second electron is shot from the origin along the $\mathbf{Y}$-axis and it moves in a circle that intersects the $\mathrm{Z}$-axis at: $=$ $+18\mathrm{cm}$. The magnitude and direction of $\overrightarrow{B}$ is $({\mathrm{m}}_{\mathrm{e}}=\mathbf{9}\times {10}^{-31}\mathrm{kg})$

153707 A beam of protons enters a uniform magnetic field of $0.314\mathrm{T}$ with a velocity $4\times {10}^5{\mathrm{ms}}^{-1}$ in a direction making an angle ${60}^{\circ }$ with the direction of the magnetic field. The path of the beam is (mass of proton $=1.6\times {10}^{-27}\mathrm{kg}$ )

153708 A proton is moving with a uniform velocity of ${10}^6{\mathrm{ms}}^{-1}$ along the $\mathrm{Y}$-axis, under the joint action of a magnetic field along $Z$-axis and an electric field of magnitude $2\times {10}^4{\mathrm{Vm}}^{-1}$ along the negative $\mathrm{X}$-axis. If the electric field is switched off, the proton starts moving in a circle. The radius of the circle is nearly
$\text{ (given : }\frac{\mathrm{e}}{\mathrm{m}}\text{ ratio for proton }\approx {10}^8{\mathrm{Ckg}}^{-1})$

153709 A particle of charge $-16\times {10}^{-18}\mathrm{C}$ moving with velocity $10{\mathrm{ms}}^{-1}$ along the $X$-axis enters a region where a magnetic field of induction $B$ is along the $Y$ - axis and an electric field of magnitude ${10}^4\mathrm{V}/\mathrm{m}$ is along the negative $\mathrm{Z}$-axis. If the charged particle continues moving along the $\mathrm{X}$-axis, the magnitude of $\mathrm{B}$ is