List of practice Questions

Two inductors P and Q having inductance ratio 1:2 are connected in parallel in an electric circuit. The energy stored in the inductors P and Q are in the ratio

A body X of mass $M$ moving with velocity $v$ hits a stationary body Y of mass $m$. If $M \gg m$ and X moves with velocity $v'$ after the collision, then the velocity of Y after an elastic collision is

The cells involved in allergic reactions and containing surface receptors of IgE antibodies and histamine are

Which of the following is(are) INCORRECT in the regulation of the trp operon?

If one of the diameters of a circle has end points $(2,0)$ and $(4,0)$, then the equation of that circle is

If $P = \{1, 2, -1, 3\}$, $Q = \{0, 4, 1, 3\}$ and $R = \{1, 6, 7\}$, then $P \cap (Q \cup R)$ =

The position of a particle along the y-axis is $y = P t^4 + Q$. For dimensional consistency, the dimension of $P$ in terms of length [L] and time [T] is

In metal–carbonyl complexes, the $\pi$-back bonding is

If $u(x)$ and $v(x)$ are differentiable at $x=0$, and if $u(0)=5$, $u'(0) = -3$, $v(0) = -1$ and $v'(0) = 2$, then the value of $\dfrac{d}{dx}\left(uv + \frac{u}{v}\right)$ at $x = 0$ is

Two dice are thrown simultaneously. The probability that the sum of the numbers obtained is divisible by 7 is

The correct sequence of the following events in the human female reproductive cycle is
I: Secretion of FSH
II: Growth of corpus luteum
III: Growth of follicle and oogenesis
IV: Ovulation
V: Sudden increase in the levels of LH

For an autocatalytic second-order reaction R $\rightarrow$ P, the rate law is
[where v is the rate of the reaction and k is the rate constant]

Which of the following is NOT an example of an adaptive defense mechanism against predation?

Match the entries in Group I with those in Group II
Group I
P) Nucleolus
Q) Sphaerosomes
R) Peroxisomes
S) Plasmodesmata
Group II
1) lipid storage
2) breakdown of fatty acids
3) transport of macromolecules
4) RNA synthesis

The nitrogenase of diazotrophs

During eukaryotic cell division, the amount of DNA doubles

Which of the following is true of protein synthesis ONLY in prokaryotes?

Match the entries in Group I with those in Group II
Group I
P) Phytase
Q) Xylanase
R) Laccase
S) Bromelain
Group II
1) paper and pulp processing
2) delignification
3) gluten complex reduction
4) improve mineral availability
5) phosphorylation

If an aldol cleavage of glucose-6-phosphate occurs in glycolysis, it will result in

The natural geographical distribution of kangaroos is limited to the Australian continent because

The average energy of a diatomic gaseous molecule at temperature T is $\frac{5}{2} k_B T$. The average energy per degree of freedom is

The refractive index of diamond is 2.419. If the speed of light in vacuum is $3 \times 10^8$ m s$^{-1}$, then the speed of light in diamond is

The role of enzyme E synthesized by phage $\phi$X174 during host infection is to

Among CH$_4$, H$_2$O, NH$_3$ and PH$_3$, the molecule having the smallest percent s character for the covalent bond (X–H) is

cos(x + yx) =