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1 Keshaw Classes IIT/JEE Medical Classes 5-A / 9, WEA, Sat Nagar, Karol Bagh New Delhi Mob: , Ph: keshawclasses@gmail.com Web: MODERN PHYSICS 1. A radioactive substance is being produced at a constant rate of 200 nuclei/s. the decay constant Of the substance is 1 s -1 after what time number of radioactive nuclei will become 100. Initially there are no nuclei present? (a) 1 s (b) s (c) In (2) s (d) 2 s 2. A radioactive isotope is being produced at a constant rate x. half-life of the radioactive substance Is y. after some tine the number of radioactive nuclei become constant. The value of this constant Is: (a) (c) (XY) In (2) (b) XY (d) 3. There are two radioactive substances A and B. decay constant of B is two time that of A. Initially both have equal number of nuclei. After n half lives of A rate of disintegration of Both are equal. The value of n is: (a) 1 (b) 2 (c) 4 (d) all of these 4. A. radioactive nucleus A finally transforms into a stable nucleus B. then A and B can be: (a) isobars (c) isotopes (b) isotones (d) none of these

2 5. A y-ray photon is emitted: (a) after ionization of an atom (b) due to conversion of a neutron into a proton in the nucleus (c) after de-excitation of a nucleus (d) due to conversion of a proton into a neutron in the nucleus 6. Number of nuclei of a radioactive substance at time t = 0 are 1000 and 900 at time t = 2 s. then Number of nuclei at time t = 4 s will be: (a) 800 (b) 810 (c) 790 (d) Magnetic moment due to the motion of the electron in nth energy state of hydrogen atom is proportional to: (a) n (b) n 0 (c) n 5 (d) n 3 8. The ratio between total acceleration of the electron in singly ionized helium atom and hydrogen atom (both in ground state) is: (a) 1 (b) 8 (c) 4 (d) The shortest wavelength of the bracket series of a hydrogen like atom (atomic number =Z) Is the same as the shortest wavelength of the Balmar series of hydrogen atom. The value of z is: (a) 2 (b) 3 (c) 4 (d) In a hydrogen atom, the electron is in nth excited state. It comes down to first excited state by Emitting ten different wavelengths. The value of n is: (a) 6 (b) 7 (c) 8 (d) 9

3 11. In a characteristic x-ray spectra of some atom superimposed on continuous x-ray spectra: (a) P represents K α line (b)q represents K β line (c) Q and P represent K α and K β lines respectively (d) Position of K α and K β depend on the particular atom Q Relative intensity P 12. Which electronic transition in Li 2+ ion would emit radiation of same wavelength as the Wavelength of second Balmar line of H-atom? (a) 12 9 (b) 12 6 (c) 4 3 (d) Difference between nth and (n + 1 ) th Bohr s radius of H atom is equal to it s (n 1) Th Bohr s radius. The value of n is: (a) 1 (b) 2 (c) 3 (d) When a hydrogen atom emits a photon during the transition n = 5 to n = 1, its recoil Speed is approximately: (a) 4 m/s (c) 3 mm/s (b) 800 m/s (d) 0.1 mm/s 15. The probability of survival of a radioactive nucleus for one mean life is: (a) 1/e (b) 1 1/e (c) (d) 1 -

4 16. A hydrogen atom is in an excited state of principle quantum number n. it emits a Photon of wavelength λ when returns to the ground state. The value of a is: (a) (b) (c) (d) 17. Angular momentum (L) and radius (r) of a hydrogen atom are related as: (a) Lr = constant (c) Lr 4 = constant (b) Lr 2 = constant (d) none of these 18. The circuit shown in the figure contains two diodes each with a forward resistance of 50 Ω And with infinite backward resistance. If the battery voltage is 6 V, the current through The 100 Ω resistance (in amperes) is: 150 Ω 100 Ω 50 Ω (a) zero (b) 0.02 (c) 0.03 (d) The binding energy of an electron in the ground state of he is equal to 24.6 ev. The Energy required to remove both the electrons is: (a) 24.6 ev (c) 79 ev (b) 49.2 ev (d) 38.2 ev 20. The plate resistance of a triode is Ω and its mutual conductance is A/V. The amplification factor of the triode is: (a) (b) 4.5 (c) 45 (d)

5 21. The half-life of the radioactive radon is 3.8 days. The time, at the end of which 1/20 th Of the radon sample will remain undecayed, is: (given log 10 e = ) (a) 3.8 day (c) 33 day (b) 16.5 day (d) 76 day 22. The shortest wavelength of x-rays emitted from an x-ray tube depends on: (a) the current in the tube (b) the voltage applied to the tube (c) the nature of the gas in tube (d) the atomic number of the target material 23. β rays emitted by a radioactive material are: (a) electromagnetic radiations (b) the electrons orbiting around the nucleus (c) charged particles emitted by the nucleus (d) neutral particles 24. If elements with principal quantum number n > 4 were not allowed in nature, the number Of possible elements would be: (a) 60 (b) 32 (c) 4 (d) Consider the spectral line resulting from the transition n = 2 n = 1 in the atoms and Ions given below. The shortest wavelength is produced by: (a) hydrogen atom (c) singly ionized helium (b) deuterium atom (d) doubly ionized lithium 26. The decay constant of a radioactive sample is λ. The half-life and mean-life of the sample Are respectively given by: (a) 1/λ and (In 2)/λ (b)(in 2)/λ and 1/λ (c) λ (In 2) and 1/λ (d) λ/ (In 2) and 1/λ

6 27. An artificial satellite moving in a circular orbit around the earth has a total (kinetic + Potential) energy E 0. Its potential energy is: (a) E 0 (b) 1.5 E 0 (c) 2E 0 (d) E The k a X-ray emission line of tungsten occurs at λ = nm. The energy difference between K and L levels in this atoms is about: (a) 0.51 MeV (b) 1.2 MeV (c) 59 kev (d) 13.6 ev 29. As per Bohr model, the minimum energy (in ev) required to remove an electron from the Ground state of doubly ionized Li atom (Z =3) is: (a) (b) 13.6 (c) 40.8 (d) The figure shown the variation of photocurrent with anode potential for a photosensitive Surface for three different radiations. Let I A I b and I c be the intensities and f a f b and f c Be the frequencies for the curves a, b and c respectively: (a) f a = f b and i a = i b (b) f a = f c and ia = i c I (c) f a = f b and i a = i b (d) f b = f c and i b = i c C B A V

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