A nuclide 1 is said to be the mirror isobar of nuclide 2 if `Z_1=N_2` and `Z_2=N`.
What nuclide is a mirror isobar of `"_11^23Na`?

The ratio of activities of two ratio niculides X and Y in a mixture at time t=0 was found to be 4:1 After two hours, the ratio activities become 1:1 . If the t_(1//2) of radio nuclide X is 20 min then t_(1//2) [in mintes] of ratio nuclide Y is , a) 10 b) 20 c) 30 d) 40

A complex number z is said to be unimodular if abs(z)=1 . Suppose z_(1) and z_(2) are complex numbers such that (z_(1)-2z_(2))/(2-z_(1)z_(2)^_) is unimodular and z_(2) is not unimodular. Then the point z_(1) lies on a

Let z_1 and z_2 be nth roots of unity, which subtend a right angle at the origin. Then n must be of the form:

Select the correct statement(s) : a) In the reaction ._(92)^(235)U+_(0)^(1)n rarr _(56)^(140)Ba +2_(0)^(1)n +x, x is _(36)^(94)Kr b) In the reaction ._(11)^(23)Na +z rarr _(12)^(23)Mg +_(0)^(1)n, the bombarding particle z is deuteron c) Very large amount of energy is produced during nuclear fusion and nuclear fission d) In a fission reaction , a loss in mass occurs releasing a vast amount of energy

Nuclei with magic no. of proton Z=2, 8,20,28,50,52 and magic no. of neutrons N=2,8,20,28,50,82 and 126 are found to be very stable. Verify this by the calculating the proton separation energy S_p for "^120Sn(Z=50) and "^121Sb=(Z=51) . The proton separation energy for a nuclide is the minimum energy required to separate the least rightly bound proton from a nucleus of that nuclide. It is given by S_p=(M_(z-1,N)+M_H-M_(Z,N))c^2 Given "^119ln=118.9058u , "^120Sn=119.902199u , "^121Sb=120.903824u , "^1H=1.0078252u .

If n in N >1 , then the sum of real part of roots of z^n=(z+1)^n is equal to

If z_1 and z_2 are two complex number such that |(z_1-z_2)/(z_1+z_2)|=1 , Prove that iz_1/z_2=k where k is a real number Find the angle between the lines from the origin to the points z_1 + z_2 and z_1-z_2 in terms of k

For any two complex numbers z_(1) "and" z_(2) , abs(z_(1)-z_(2)) ge {{:(abs(z_(1))-abs(z_(2))),(abs(z_(2))-abs(z_(1))):} and equality holds iff origin z_(1) " and " z_(2) are collinear and z_(1),z_(2) lie on the same side of the origin . If abs(z-(1)/(z))=2 and sum of greatest and least values of abs(z) is lambda , then lambda^(2) , is

if omega is the nth root of unity and Z_1 , Z_2 are any two complex numbers , then prove that . Sigma_(k=0)^(n-1)| z_1+ omega^k z_2|^2=n{|z_1|^2+|z_2|^2} where n in N

Each question contains STATEMENTS-1 (Assertion) and STATEMENT -2 (Reason). Examine the statements carefully and mark the correct answer according to the instructions given below: STATEMENT-1: Nuclide _(13)^(30)Al is less stable than _(20)^(40)Ca . STATEMENT-2: Nuclide having odd number of protons and neutrons are generally unstable.