List of practice Questions

The differential equation of the family of curves $y = e^{2x} (a \,\cos\, x + b \,\sin\, x)$, where $a$ and $b$ are arbitrary constants, is given by
Secondary nucleus is formed by
An electric kettle takes 4 A current at 220 V. How much time will it take to boil 1 kg of water from temperature $20^\circ C ?$ The temperature of boiling water is $100^\circ C $
A current of 3 amp. flows through the $2\, \Omega$ resistor shown in the circuit. The power dissipated in the $5\, \Omega$ resistor is
The degree of dissociation of $XY$ in case of following reaction is found to be $ 0.4 $ from vapour density measurement. If the observed vapour density of $X Y$ be $100$ then its molecular weight is $ XY\to X+Y $
In gamma ray emission from a nucleus
A detritivorus animal of economic importance is
A condition where a certain gene is present in only a single copy in a diploid cell is called.
Anterior choroid plexus is present on the
A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest its time period is $T$. With what acceleration should the lift be accelerated upwards in order to reduce its period to $T/2$ ? (g is acceleration due to gravity).
The magnetic field at the centre of a circular current carrying conductor of radius $r$ is $B_c$. The magnetic field on its axis at a distance $r$ from the centre is $B_a$. The value of $B_c : B_a$ will be
The equivalent resistance between the points $A$ and $B$ will be (each resistance is 15 $\Omega$)
Amines behave as
An element with atomic number $21$ is a
The number of solutions for the equation $Sin\, 2x + Cos \; 4x = 2$ is
The remainder when $3^{100} \times 2^{500}$ is divided by $5$ is
If the matrix $\begin{bmatrix}a&b\\ c&d\end{bmatrix}$ is commutative with the matrix $\begin{bmatrix}1&1\\ 0&1\end{bmatrix}$, then
Human egg is
Which of the following is an agrostologic method of soil conservation ?
The value of $x$ for which $f(x) = x^3 - 6x^2 - 36x + 7 $ is increasing, belong to
If $ y =\sin^{-1} \left(\frac{5x+12 \sqrt{1 -x^{2}}}{13}\right)$ , then $ \frac{dy}{dx} = $
Which of the following statements is true about viruses?
If $\vec{a}\cdot\hat {i}= \vec{a} \cdot(\hat {i}+\hat {j})= \vec{a}\cdot (\hat {i}+\hat {j}+\hat {k})=1$ then $\vec{a}$=
The angular shape of ozone molecule $ (O_3 )$ consists of
In the reaction; $Fe ( OH )_{3( s )} \rightleftharpoons Fe ^{3+}{ }_{( aq )}+3 OH _{\text {(aq) }}^{-}$, if the concentration of $OH ^{-}$ ions is decreased by $\frac{1}{4}$ times, then the equilibrium concentration of $Fe ^{3+}$ will increase by,