List of top Mathematics-T Questions

A parallel plate air capacitor is charged to a potential difference of V volts. After disconnecting the charging battery the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates

Minority carriers in a $p-type$ semiconductor are

Three polaroid sheets $P_1, P_2$ and $P_3$ are kept parallel to each other such that the angle between pass axes of $P_1$ and $P_2$ is $45^\circ$ and that between $P_2$ and $P_3$ is $45^\circ$. If unpolarised beam of light of intensity $128 Wm^{-2}$ is incident on $P_1$. What is the intensity of light coming out of $P_3$

The reagent which can do the conversion $CH _{3} COOH \longrightarrow CH _{3}- CH _{2}- OH $ is

Which of the following is not true for oxidation?

A colourless, neutral, paramagnetic oxide of Nitrogen $'P'$ on oxidation gives reddish brown gas $Q$. $Q$ on cooling gives colourless gas $R$. $R$ on reaction with P gives blue solid $S$. Identify $P , Q , R , S$, respectively

$K _{ u }$ values for acids $H _{2} SO _{3}, HNO _{2}, CH _{3} COOH$ and $HCN$ are respectively $1.3 \times 10^{-2}, 4 \times 10^{-4}, 1.8 \times 10^{-5}$ and $4 \times 10^{-10}$, which of the above acids produces stronger conjugate base in aqueous solution?

A coil of inductive reactance $1/ \sqrt{3}\, O$ and resistance $1 \, \Omega$ is connected to a $200\, V$, $50\,Hz \,A.C.$ supply. The time lag between maximum voltage and current is

A subset of the additive group of real numbers which is not a sub group is

In the group $G = \{1,5,7,11\}$ under multiplication modulo $12$, the solution of $ 7^{-1} \; \otimes_{12} (x \otimes_{12} 11) = 5$ is $x$ =

A clone is ..................

On the set $Q$ of all rational numbers the operation $\star$ which is both associative and commutative is given by $a \star b$, is:

If $A = \begin{bmatrix} {1}&{-3}\\ {2}&{K} \\ \end{bmatrix}$ and $A^2-14A+10I=A$,then $K$ = is equal to :

The value of $\begin{vmatrix} x+y&y+z & z+ x \\[0.3em] x & y & z \\[0.3em] x-y & y-z & z-x \end{vmatrix}$ = is equal to :

If $a, b$ and $c \in N$ which one of the following is not true ?

A circular sector of perimeter $60$ metre with maximum area is to be constructed. The radius of the circular arc in metre must be

If $a | (b + c)$ and $a| (b-c)$ where $a,b,c \in \, N $ then

A circular coil of radius $10 \,cm$ and $100$ turns carries a current $1\,A$. What is the magnetic moment of the coil ?

In a reverse biased diode when the applied voltage changes by $1\, V$, the current is found to change by $0.5\, \mu\,A$ . The reverse bias resistance of the diode is

The potential of the electric field produced by a point charge at any point $(x, y, z)$ is given by $V= 3x^{2} + 5$ , where $x, y, z$ are in metres and $V$ is in volts. The intensity of the electric field at $(-2,1,0)$ is

A prism of a certain angle deviates the red and blue rays by $8^\circ$ and $12^\circ$ respectively. Another prism of the same angle deviates the red and blue rays by $10^\circ$ and $14^\circ$ respectively. The prisms are small angled and made of different materials. The dispersive powers of the materials of the prisms are in the ratio