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Out of the following, the alkene that exhibits optical isomerism is

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One ticket is selected at random from 50 tickets numbered 00, 01, 02, ... , 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals

At $80_{∘}C$, the vapour pressure of pure liquid 'A' is 520 mm Hg and that of pure liquid 'B' is 1000 mm Hg. If a mixture solution of 'A' and 'B' boils at $80_{∘}C$ and 1 atm pressure, the amount of 'A' in the mixture is (1 atm = 760 mm Hg)

If p and q are positive real numbers such that $p_{2}+q_{2}=1$, then the maximum value of $(p+q)$ is

Relative permittivity and permeability of a material are $ϵ_{r}andμ_{r}$, respectively. Which of the following values of these quantities are allowed for a diamagnetic material ?

The dimension of magnetic field in M, L, T and C (Coulomb) is given as

If the roots of the equation $bx_{2}+cx+a=0$be imaginary, then for all real values of x, the expression $3b_{2}x_{2}+6bcx+2c_{2}$is

If $u^$and $v^$are unit vectors and $θ$is the acute angle between them, then $2u^×3v^$is a unit vector for

The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2 = 0.301)