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*Answer can only contain numeric values

QUESTION: 1

From semi-emprical mass formula, binding energy is given by

If and The value of Z for most stable nuclei for A = 43 is ____________________( an integer)

Solution:

*Answer can only contain numeric values

QUESTION: 2

The meson theory of nuclear forces assumes the virtual exchange ofpions. If a nucleon emits a virtual pion of

rest mass 270 m_{e}, where m_{e} is rest mass of electron), the range of nuclear forces is________fm. (Upto two

decimal places)

Solution:

QUESTION: 3

The spins and parities of ground state of _{19}k^{39} and _{42}Mo^{95 } nucleus are respectively

Solution:

QUESTION: 4

Hie magnetic dipole moment and electric qiiadrupole moment for around state of _{29}Cu^{63} in μN ( Nuclear masneton units) and bam respectively are

Solution:

QUESTION: 5

What are the expected types of gamma ray transition between tlie following states of odd A nuclei

(1) g_{9}/_{2 }→ p_{1/2}

(2) h_{11}/_{2 }→ d_{3/2 }

Solution:

QUESTION: 6

Read the following statements:

(I) If a particle X has Isospin I = 3/2, Baryon no. B = 1 and Strangeness no. S = 0 . then the possible values of electric charges for X are +2, -1, 0 and -1.

(II) If the reaction is governed by strong interaction then the third component of Isos- pin. Baryon number and Strangeness number ofXare respectively

(III) The quark content of uus and uss respectively.

Choose the correct option from the following ?

Solution:

(I) For

(II) Particle X is proton having

(III)

QUESTION: 7

For a given nuclear reactions, choose the correct option.

(I)

(II)

(III)

(IV)

(V)

Solution:

(I), (II) and (III) are weak and (IV) and (V) are strong.

QUESTION: 8

The reaction _{38}Sr^{89} → _{39}Y^{89} + β^{- }+ undergoes a first forbidden β - decay by

Solution:

Therefore, first forbidden by Gamow-Teller only.

QUESTION: 9

Match tlie following reactions on the left with the associated interactions on file right.

Solution:

(1) associated production of strangeness panicles ⇒ strong.

(2) photon involved ⇒ EM.

(3) decay of strange particle ⇒ weak.

(4) light particle cannot decay into heavier ⇒ forbidden.

QUESTION: 10

If the reactions and are governed by weak interactions, then the particle Z in the reaction Y→ Z + X is

Solution:

*Answer can only contain numeric values

QUESTION: 11

If the first excited rotational state of a nucleus has energy equal to 93.3 KeV then the energy ofthe third excited rotational state is approximately equal to______________KeV. (an integer)

Solution:

*Answer can only contain numeric values

QUESTION: 12

For the reaction P + _{1}H^{3} → _{1}H^{2} + _{1}H^{2} , if T_{1} is threshold kinetic energy of_{1} H^{3} when P is target and T_{2} is threshold kinetic energy of P when _{1}H^{3} is target, then the value of T_{1}- T_{2} is equal to MeV. (upto two decimal places)

Solution:

*Answer can only contain numeric values

QUESTION: 13

A reactor is developing energy at a rate of 3000 kWatt. If on an average, energy of 200 MeV is released per

fission, then tlie weight of U^{235} used in 1000 hours of operation is___________gm

Solution:

Energy released per fission = 200 MeV

= 200 x 1.6 x 10^{-13}

= 32 x 10^{-12} Joule.

Total energy released per second = 3000 kW = 3 x 10^{6} Joule/kW

Number of atoms or fission undergoing per second

Number of atoms undergoing fissions in 1000 hours

= 9.4 x 10^{16} x 1000 x 60 x 60 = 3.384x 10^{23}

Now, 6.02 x 10^{23} atoms of U^{235} weights = 235 gm

Therefore, 3.384 x 10^{23} atoms o f U^{235} weights

*Answer can only contain numeric values

QUESTION: 14

In a reaction _{13}AI^{25} → 12Mg^{25} + e^{+} + v_{e} , the atomic masses are given as

m_{A1 }= 19.003576u , m_{Mg} = 24 .985839u.

The maximum kinetic energy of the neutrino emitted is___________MeV. (upto two decimal places)

Solution:

*Answer can only contain numeric values

QUESTION: 15

If _{86}Rn^{222 }nucleus decays at rest by the reaction _{86}Rn^{222} → _{84}Po^{218} + _{2}He^{4} then the kinetic energy of the _{84}Po^{218} nucleus is ________________ MeV. (Upto two decimal places)

Solution:

QUESTION: 16

If the reaction is governed by strong interaction, then the particle X is

Solution:

QUESTION: 17

Consider the following statements:

P. In reaction , Baryon number, Isospin and third component of Isospin are notcon served.

Q. The reaction proceed via strong interaction.

R. In reaction , Strangeness number and third component of Isospin are not conserved.

S. The reaction proceed via electromagnetic interaction.

Choose the correct option from the following ?

Solution:

Thus, P is correct.

*Answer can only contain numeric values

QUESTION: 18

The half life of radon is 3.82 days. If the sample contains initially 2.71 x 10^{15} atoms, the number of atoms that will disintegrate during die first day are___________x 10^{14} (upto first decimal places)

Solution:

The number of undecay atom after one day is

Therefore, the number of atom disintergrate during the first day are

*Answer can only contain numeric values

QUESTION: 19

Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10^{-27} kg and charge is 1.6 x 10^{-19} coulomb. The velocity of die deuterons emerging out of the cyclotron is____________10^{7} m/s. (an integer)

Solution:

QUESTION: 20

According to shell model, the ground state and first excited state spin-parity J^{P} and _{7}N^{15} are respectively.

Solution:

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