List of practice Questions

Three blocks are connected, as shown in the figure. Calculate the minimum force required to move the blocks with constant velocity. The co-efficient of friction at all surfaces is $0.25$ . [Assume that rod does not exerts force in vertical direction]

$200$ joules of heat was supplied to a system at constant volume. It resulted in the increase in temperature of the system from $298$ to $323\, K$. What is the change in internal energy of the system?

$\,^{221}_{87}$Ra undergoes radiorctive decay with a half life of 4 days. The probability that a Ra nucleus will disintegrate in 8 days is

Which will give turbidity fastest on reaction with Lucas reagent ?

$20$ persons are invited for a party In how many different ways can they and the host be seated at circular table, if the two particular persons are to be seated on either side of the host?

Carbylamine reaction is given by

German silver is

Fog is an example of

Atomic no. $81$ is placed in

Electronic configuration of $Na$ is

What is the value of $\tan^{-1} \left(\frac{m}{n}\right) - \tan^{-1} \left(\frac{m-n}{m+n}\right) ? $

The number of positive integral solutions of the equation $\tan^{-1} x + \cot^{-1} y = \tan^{-1} 3 , $ is

The value of $\cos \left(\frac{1}{2} \cos^{-1} \frac{1}{8}\right) $ is equal to

In a $\Delta ABC$, if $A = tan^{-1}\, 2$ and $B = tan^{ -1}\, 3$ , then $C =$

$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

The earliest man evolved around

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

Flying Phalanger and Flying squirrel are examples of

Common ancestor of humans and apes was

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

Selection favouring one extreme of a trait is called

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