(1). A nucleus with mas number 220 initially at rest emits an a particle. If the Q value of the reaction is 5.5 MeV, the kinetic energy of the a particle is

• (a). 4.4 MeV
• (b). 5.4 MeV
• (c). 5.6 MeV
• (d). 6.5 MeV
• (e). None of these

(2). What is the ratio of the shortest wavelength of the Balmer series to the shortest wavelength of the Lyman series ?

• (a). 4 : 1
• (b). 4 : 3
• (c). 4 : 9
• (d). 5 : 9
• (e). None of these

(3). An atom of mass number 15 and atomic number 7 captures an α-particle and then emits a proton. The mass number and atomic number of the resulting atom will be respectively

• (a). 14 and 2
• (b). 15 and 3
• (c). 16 and 4
• (d). 18 and 8
• (e). None of these

(4). For explanation of his theory, Bohr used which of the following principles?

• (a). conservation of energy
• (b). quantization of angular momentum
• (c). quantization of linear momentum
• (d). quantization of moment of inertia
• (e). None of these

(5). The radius of a spherical nucleus as measured by electron scattering is 3.6 fm. what is the likely mass number of the nucles?

• (a). 27
• (b). 40
• (c). 56
• (d). 120
• (e). None of these

(6). The half life period of a radioactive element X is same as the mean life time of another radioactive element Y. Initially, they have the same number of atoms. Then

• (a). X and Y decay at same rate always
• (b). X will decay faster than Y
• (c). Y will decay faster than X
• (d). X and Y have same decay rate initially
• (e). None of these

(7). During negative β decay, an antineutrino is also emitted along with the ejected electron. Then,

• (a). only linear momentum will be conserved
• (b). total linear momentum and total angular momentum but not total energy will be conserved
• (c). total linear momentum and total energy but not total angular momentum will be conserved
• (d). total linear momentum, total angular momentum and total energy will be conserved
• (e). None of these

(8). Plutonium decays with half life of 24000 years. If plutonium is stored for 72000 years, the fraction of it that remains is

• (a). 1/8
• (b). 1/3
• (c). 1/4
• (d). 1/2
• (e). None of these

(9). According to Bohr's theory, the energy of an electron in hydrogen atom starts corresponding to n = 1, 2, 3, 4 is respectively – 13.6 eV, – 3.4 eV, – 1.51 eV and –0.85 eV. In order to obtain emission of Ho line of Balmer series, the energy that has to be given to a normal hydrogen atom is

• (a). 12.75 eV
• (b). 14.45 eV
• (c). 2.55 eV
• (d). 4.25 eV
• (e). None of these

• (a). 1
• (b). 2
• (c). 3
• (d). 4
• (e). None of these

• (a). 20 years and 5 years, respectively
• (b). 20 years and 10 years, respectively
• (c). 10 years each
• (d). 5 years each
• (e). None of these

• (a). 1
• (b). 2
• (c). 3
• (d). 4
• (e). None of these

• (a). 50, 36
• (b). 58, 40
• (c). 56, 42
• (d). 57, 41
• (e). None of these

• (a). 1
• (b). 2
• (c). 3
• (d). 4
• (e). None of these

• (a). 1
• (b). 2
• (c). 3
• (d). 4
• (e). None of these

• (a). 11 = 4
• (b). n = 2
• (c). n = 16
• (d). n = 3
• (e). None of these

• (a). 1
• (b). 2
• (c). 3
• (d). 4
• (e). None of these

• (a). 1
• (b). 2
• (c). 3
• (d). 4
• (e). None of these

• (a). 1
• (b). 2
• (c). 3
• (d). 4
• (e). None of these

• (a). 1
• (b). 2
• (c). 3
• (d). 4
• (e). None of these