Q19 of 26 Page 1

Write symbolically the nuclear+decay process of C116. Is the decayed product X an isotope or isobar of ?Given the mass values m ( ) = 11.011434 u and m (X) = 11.009305 u. Estimate the Q-value in this process.

When the atom undergoes β+decay then the atomic number Z of the nucleus of the atom goes up by 1


The reaction will be



Given



m(X)=


Mass of an electron or positron = 0.000548 u


c = speed of light


The Q value of the nuclear masses of the is given as:



If atomic masses are used instead of nuclear masses, then we have to add 6 in the case of and 5 in the case of . hence the above equation reduces to






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17

(a) State three important factors showing the need for translating a low frequency signal into a high frequency wave before transmission.

(b) Draw a sketch of a sinusoidal carrier wave along with a modulating signal and show how these are superimposed to obtain the resultant amplitude modulated wave.


18

You are given three circuit elements X, Y and Z. When the element X is connected across an a.c. source of a given voltage, the current and the voltage are in the same phase. When the element Y is connected in series with X across the source, voltage is ahead of the current in phase by π/4. But the current is ahead of the voltage in phase by π/4 when Z is connected in series with X across the source. Identify the circuit elements X, Y and Z. When all the three elements are connected in series across the same source, determine the impedance of the circuit. Draw a plot of the current versus the frequency of applied source and mention the significance of this plot.

20

An object is placed 15 cm in front of a convex lens of focal length 10 cm. Find the nature and position of the image formed. Where should a concave mirror of radius of curvature 20 cm be placed so that the final image is formed at the position of the object itself?

21

Arrange the following electromagnetic waves in the order of their increasing wavelength:

(a) γ-rays


(b) Microwaves


(c) X-rays


(d) Radio waves


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