List of practice Questions

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 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) =
Which of the following is NOT involved in eukaryotic translation?
Which of the following statements is correct?
The antigen binding site of an antibody is present
If the escape speed of a projectile on Earth's surface is \( 11.2 \, \text{km/s} \) and a body is projected out with thrice this speed, then determine the speed of the body far away from the Earth.
Consider the analogy between an oscillating spring-body system and an oscillating L-C-R circuit. Then, the correspondence between the two systems that is NOT correct is:
A tank is filled with a liquid upto a height \( H \). A small hole is made at the bottom of this tank. Consider \( t_1 \) be the time taken to empty the first half of the tank and \( t_2 \) be the time taken to empty the rest half of the tank. Then, determine the ratio \( \frac{t_1}{t_2} \).
In a cinema, a picture 2.5 cm wide on the film is projected to an image 3.0 m wide on a screen that is 18 m away. The focal length of the lens is about:
The coefficient of volume expansion of glycerine is \( 49 \times 10^{-5} \, \text{K}^{-1} \). What is the fractional change in its density for a \( 30^\circ \text{C} \) rise in temperature?