Concepts Of Physics MCQ Edition [Volume 2]PhysicsThe Nucleus

For a nucleus having radius R and mass number A , the plot of (R/R₀) against A is

Options

Aa parabola
Ban ellipse
Ca straight line
Da hyperbola

Correct answer

C. a straight line

Step-by-step solution

The radius of a nucleus R is related to its mass number A by the formula: R = R₀ A^ 1/3 Rearranging the terms, we get: R R₀ = A^ 1/3 Taking the natural logarithm on both sides: ( R R₀ ) = (A^ 1/3 ) ( R R₀ ) = 1 3 A Let y = ( R R₀ ) and x = A . The equation becomes: y = 1 3 x This represents the equation of a straight line passing through the origin with a slope of 1 3 .

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A neutron star possesses a density equivalent to that of nuclear matter. Assuming the star is spherical, determine the radius of a neutron star with a mass of 4.0 10³⁰ kg (twice th Determine the amount of energy released during the reaction given below: ⁷ Li + p + . The atomic mass of ⁷ Li is 7.0160 u and that of ⁴ He is 4.0026 u .Determine the binding energy per nucleon of ¹⁹⁷₇₉ Au , given that its atomic mass is 196.96 u .Compute the energy released if an -particle is emitted by ²³⁸ U . The atomic masses of ²³⁸ U , ²³⁴ Th , and ⁴ He are 238.0508 u , 234.04363 u , and 4.00260 u respectively.Suppose that the mass of a nucleus is roughly given by M = A m_p , where A represents the mass number. Estimate the density of matter inside a nucleus in kg m ⁻³ , and determine th Determine the mass of an -particle, given that its binding energy is 28.2 MeV .Compute the energy that needs to be supplied to ²³⁸ U in order for two protons and two neutrons to be emitted one by one. The atomic masses of ²³⁸ U , ²³⁴ Th , and ⁴ He are 238.050 Calculate the energy released in the nuclear reaction ²²³ Ra ²⁰⁹ Pb + ¹⁴ C . The necessary atomic masses are provided below. ²²³ Ra ²⁰⁹ Pb ¹⁴ C 223.018 u 208.981 u 14.003 u Full The Nucleus list All Concepts Of Physics MCQ Edition [Volume 2] PYQs