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A electron and a proton are detected in a cosmic ray experiment, the electron with K.E. of 5eV and the proton with K.E. of 50e. Find the ratio of their speeds.
Given `m_(e)=911xx10^(31)kg and m_(p)-1.67xx10^(27)kg `

Answer

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An electron and a proton are detected in a cosmic ray experiment, the first with kinetic energy 10 keV and second with 100keV. Which is faster, the electron or proton ? Obtain the ratio of their speeds. Take mass of electron 9.11xx10^(-31)kg . Mass of proton =1.67xx10^(-27)kg and 1eV=1.6xx10^(-19)J.

An electron and a proton are detected in a cosmic ray experiment, the first with kinetic energy 10 keV, and the second with 100 keV. Which is faster, the electron or the proton ? Obtain the ratio of their speeds. (Electron mass =9.11xx10^(-31) kg , proton mass =1.67xx10^(-27) kg, 1 eV=1.60xx10^(-19) J) .

Knowledge Check

  • An electron and a proton are detected in a cosmic ray experiment, the first with kinetic energy 10 keV, and the second with 100 keV. The ratio of their speeds is (where m_e and m_p are masses of electron and proton respectively)

    A
    `sqrt(1/10 m_e/m_p)`
    B
    `sqrt(1/10 m_p/m_e)`
    C
    `1/10 m_e/m_p`
    D
    `1/10 m_p/m_e`

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    The distance between the electron and proton in hydrogen atom is 5.3xx10^(-11) m. Determine the magnitude of the ratio of electrostatic and gravitational force between them. Given m_(e)=9.1xx10^(-31) kg, m_(p)=1.67xx10^(-27) kg, e=1.6xx10^(-19) C " and " G=6.67xx10^(-11) Nm^(2) kg^(2) .

    Caluculate the density of uranium -235 nucleus. Given m_(n) = m_(p) = 1.67xx10^(-27) kg .

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    Coulomb's law for electrostatic force between two point charges and Netwon's law for gravitational force between stationary point masses, both have inverse square dependence on the distance between the charges // masses . (i) Compare the strength of these forces by determining the ratio of their magnitudes. (i) For an electron and a proton. (ii) for two protons (2) Estimate the accelerations of electron and proton due to the electrical force of their mutual attraction when they are 1 Å( 10^(-10)m) apart ( m_(p) = 1.67 xx 10^(-27) kg, m_(e ) = 9.11 xx 10^(-31) kg)

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