JEE (Advanced) 2013 Paper-2
Following Questions of a paragraph has only one correct answer among the four choices(A), (B), (C) and (D).
The mass of a nucleus $$_{Z}^{A}X$$ is less than the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of masses $$m_1$$ and $$m_2$$ only if $$(m_1 + m_2) < M$$. Also two light nuclei of masses $$m_3$$ and $$m_4$$ can undergo complete fusion and form a heavy nucleus of mass $$M'$$ only if $$(m_3 + m_4) > M'$$. The masses of some neutral atoms are given in the table below:
The kinetic energy (in keV) of the alpha particle, when the nucleus $$^{210}_{84}Po$$ at rest undergoes alpha decay, is
Following Questions of a paragraph has only one correct answer among the four choices(A), (B), (C) and (D).
A small block of mass 1 kg is released from rest at the top of a rough track. The track is a circular arc of radius 40 m. The block slides along the track without toppling and frictional force acts on it in the direction opposite to the instantaneous velocity. The work done in over coming the friction up to the point O, as shown in the figure below, is 150 J. (Take the acceleration due to gravity, g = 10m $$s^{-2}$$).
A thermal power plant produces electric power of 600 kW at 4000 V, which is to be transported to a place 20 km away from the powerplant for consumers’ usage. It can be transported either directly with a cable of large current carrying capacity or by using a combination of step-up and step-downtransformers at the two ends. The drawbackof the direct transmission is the large energy dissipation. In the method using transformers, the dissipation is much smaller. In this method, a step-up transformeris used at the plant side so that the current is reduced to a smaller value. At the consumers’ end, a step-down transformer is used to supply powerto the consumersat the specified lower voltage. It is reasonable to assume that the powercable is purely resistive and the transformers are ideal with a powerfactor unity. All the currents and voltages mentioned are rms values.
If the direct transmission method with a cable of resistance $$0.4Ωkm^{-1}$$ is used, the power dissipation (in %) during transmission is
In the method using the transformers, assume that the ratio of the numberof turns in the primary to that in the secondary in the step-up transformeris 1 : 10. If the power to the consumers has to be supplied at 200 V, the ratio of the numberof turns in the primary to that in the secondary in the step-down transformer is
For the following questions answer them individually
Match List I with List II and select the correct answer using the codes given below the lists :
A right angled prism of refractive index $$\mu_{1}$$ is placed in a rectangular block of refractive index $$\mu_{2}$$, which is surrounded by a medium of refractive index $$\mu_{3}$$, as Shown in the figure. A ray of light ‘e’ enters the rectangular block at normal incidence. Depending upon the relationships between $$\mu_{1},\mu_{2}$$ and $$\mu_{3}$$, it takes one of the four possible paths ‘ef’, ‘eg’, ‘eh’ or ‘ei’.
Match the paths in List I with conditions of refractive indices in List II and select the correct answer using the codes given below the lists:
Match List I of the nuclear processes with List II containing parent nucleus and one of the end products of each process and then select the correct answer using the codes given below the lists :
One mole of a monatomic ideal gas is taken along two cyclic processes $$E\rightarrow F\rightarrow G \rightarrow E$$ and $$E\rightarrow F\rightarrow H \rightarrow E$$ as shown in the PV diagram. The processes involved are purely isochoric, isobaric, isothermal or adiabatic.
Match the paths in List I with the magnitudes of the work done in List II and select the correct answer using the codes given below the lists.
