List of practice Questions

$sin^{-1}\left(\frac{1}{\sqrt{e}}\right)> tan^{-1}\left(\frac{1}{\sqrt{\pi}}\right) $ $sin^{-1}\,x>tan^{-1}\,y$ for $x>y, \forall \,x, y \,\in\left(0, 1\right)$

The value of $cot^{-1}\left\{\frac{\sqrt{1-sin\,x}+\sqrt{1+sin\,x}}{\sqrt{1-sin\,x}-\sqrt{1+sin\,x}}\right\}\left(0 < x < \frac{\pi}{2}\right)$ is

$2^{\frac{1}{4}}, 4^{\frac{1}{8}}, 8^{\frac{1}{16}}, 16^{\frac{1}{32}}............ $ is equal to

The earliest man evolved around

Common ancestor of humans and apes was

Flying Phalanger and Flying squirrel are examples of

The earliest man-like primate was

Tuang Baby or African Ape-Man belonged to

Change in allele number and frequency in gene pool due to small size of population is

Persistence of heterozygote in the population due to its superiority is called

Selection favouring one extreme of a trait is called

Speciation that occurs at the ends of a large sized population is

$175$ calorie of heat is required to raise the temperature of $5$ mole of an ideal gas at constant pressure from $30^\circ\,C$ to $35^\circ\,C$. The amount of heat required to raise temperature of same gas from $30^\circ\,C$ to $35^\circ\,C$ constant volume will be

Replica plating experiment to demonstrate occurrence of preadaptive mutations was performed by

13.6 eV is needed for ionization of a hydrogen atom. An electron in a hydrogen atom in its ground state absorbs 1.50 times as much energy as the minimum required for it to escape from the atom. What is the wavelength of the emitted electron? $\left(m_{e}=9.109\times10^{-31} Kg, e=1.602\times10^{-19} Coloumb, h=6.63\times10^{-34} Js\right)$

A resistor, capacitor and an inductor are connected in series and are in resonance. What is the phase difference between the supplied voltage and current ?

Capacitance of a spherical conductor of radius $R$ is proportional to

A person suffering from myopia should use a

What is the relationship between electric field intensity $E$, current density $J$ and specific resistance $\rho$ ?

When a pentavalent impurity is added in Ge crystal then, what type of semiconductor is obtained ?

At what temperature the root mean square velocity of a gas is twice of its root mean velocity at $27^{\circ} C $?

If two waves of same amplitude A each produce Maximum Marks 600 a resultant wave of amplitude equal to one of its wave, then the phase difference between them will be

In a triode, $\mu, g_{m}$ and $r_{p}$ are related as

$120\, AC$ voltage is applied to $10$ ohm resistance. The peak voltage across the resistor is