List of practice Questions

For real number x and y define a relation R, xRy if and only if $x-y + \sqrt{2}$ is an irrational number. Then the relation R is

For tetrahedral co-ordination the radius ratio $(r^+ /r^-)$ should be

For n moles of ideal gas,the equation of state maybe written as

For observing diffraction it is essential to have

For particles having same K.E., the de-Broglie wavelength is

For FCC if AB is just like the rock salt like structure then, A+ and B- are located at -

For geometric isomers of 3-hexene :

For how long 2.5 ampere of current is passed to supply 54000 C of charge ?

For an ionic crystal of the general formula $AX$ and coordination number $6$, the value of radius ratio will be

For any arbitrary motion in space, which of the following relations is true? (The average stands for average of the quantity over the time interval $t_1$ to $t_2$)

For any square matrix $A, AA^T$ is a

For a sequence $\{a_n\},a_1=2 $ and $\frac{n+1}{a_n}=\frac{1}{3}$. Then $\displaystyle\sum_{r=1}^{20}a_r$ is

For a single side band transmission a balanced modulator is used to

For a symmetrical distribution $Q_1 = 20$ and $Q_3 = 40$; the median is equal to

For a transistor amplifier in common emitter configuration for load impedance of $1\,k\Omega$ ($h_{fe} = 50$ and $h_{oe} = 25\, mA\, V^{-1}$), the current gain is

For a reaction in which all reactants and products are liquids, which one of the following equations is most applicable ?

For a non-zero vector $\overrightarrow{a}$, which of the following statement is true

For a particle performing uniform circular motion, choose the incorrect statement from the following.

For a differentiable function $f$, the value of $Lt_{h\to0} \frac{\left[f\left(x+h\right)\right]^{2} - \left[f\left(x\right)\right]^{2}}{2h}$ is equal to

For a frequency distribution 7th decile is computed by the formula

For a given distribution of marks mean is 35-16 and its standard deviation is 19-76. The co efficient of variation is

For $a > 0 , t \in\left(0, \frac{\pi}{2}\right) ,$ let $ x = \sqrt{a^{\sin^{-1}t}} $ and $y = \sqrt{a^{\cos^{-1}t}},$ Then $ 1+ \left(\frac{dy}{dx}\right)^{2} $ equals :

For a cyclic process, which of the following is not true?

Following table summarises the differences between light reactions and dark reactions. Which of the above pairs of differences is/are incorrect ?

Following table summarises the differences between natality and mortality. Select the incorrect ones.