Question

Question 1 (a) A convex lens with a focal length of 15 cm is placed 25 cm from a lighted object. At what distance will an image be formed? Will it be real? (b) An object is placed 10 cm from a concave mirror. The focal length is 5 cm. Determine the image distance and the magnification of the image. (c) Light in vacuum is incident on the surface of a glass slab. In the vacuum, the beam makes an angle of 37.8° with the normal to the surface, while in the glass it makes an angle of 28.6° with the normal. what is the index of refraction of the glass? (d) Using symbols, write equations to represent the following radioactive decay schemes: (i) Alpha, (ii)Beta plus (iii)Beta minus and (iv)Gamma decay. = AN. Using this decay rate, derive the (e) The rate at which radioactive nuclides decay is given by: - radioactive decay law, N = Noe-. (f) A certain mass of 238U is kept in a container. What fraction of this radioactive material will be left after 3.0 x 109 years? Take 1 = 1.54 x 10-10/year. (g) What is the binding energy per nucleon of the plutonium isotope 239 Pu in units of MeV? Here are some atomic masses and the neutron mass as well as the relevant conversion units. 239Pu 239.05216 u 1H 1.007825 u n 1.00867 u leV = 1.602 x 10-19 lu= 1.6605 x 10-27 kg (h) A radioactive isotope of mercury, 197 Hg, decays to gold, 197 Au, with a disintegration constant of 0.0108 h-1 (i) Calculate the half-life of the 197 Hg. (ii) What fraction of a sample will remains at the end of three half-lives? (i) A transverse wave is described by the wave function y(x, t) = (0.30 m) sin(4,30 m (x - 18.00 m/s) t]. Find the (i) amplitude, (ii) wavelength, (iii) wave speed and (iv)the frequency of the wave.

Answer 1

Sol": f. 15 cm U= -25cm , focal length , object distance image distance V22 using lens formula et te 1 -25 V = 15 - 37.5 cm [V-37.5 cm] image will be neat as I magnification for a lons, m. y = 375 a marts since magnificatzien u negative image wwberal U-10cm object distance f - 5cm , focal length. v. 2 Image distance mbros formula . ta sto - - > V=-10 cm]

magnification for mirror m2-k-tho- I m2 i 378° - 28.6° angle of incidence angle of refraction as per snell's low Deprecates Index of refraction en it the n- sini sinr Sin 37.0 Sina0.6 (n. 1.20 di Alpha decay XA YA 4 + He tQ (d-partidi) 2 is atomic number, A is mass number, and Qů a energy released. ii) Bita plus decay & fechniek 28" - 2-1 Yhter ve Position neutrino

Beta minus decay 2 X 24 YA+ e + 5. election Antineutrino. ov) Gramma decay. (e dN -IN adi dN -ndt N Integate Sayangat Inna - At + c at tao, N=No - In No : C - In Ne-7t + ln No. InN-in No -2t In Nadt No IN Noe nt
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