List of practice Questions

A thin uniform annular disc (see figure) of mass $M$ has outer radius $4R$ and inner radius $3R$. The work required to take a unit mass from point $P$ on its axis to infinity is
A student uses a simple pendulum of exactly $1 \,m$ length to determine $g$, the acceleration due to gravity. He uses a stopwatch with the least count of $1$ second for this and records $40$ seconds for $20$ oscillations. For this observation, which of the following statements is true ?
A square loop of wire, side length $ 10\,cm $ is placed at angle of $ 45^{\circ} $ with a magnetic field that changes uniformly from $ 0.1 \,T $ to zero in $ 0.7\, s $ . The induced current in the loopa (its resistance is $ 1\,\Omega $ ) is
A square card of side length $ 1 \,mm $ is being seen through a magnifying lens of focal length $ 10 \,cm $ . The card is placed at a distance of $ 9 \,cm $ from the lens. The apparent area of the card through the lens is
The degree of hardness of water is usually expressed in terms of
The highest lattice energy corresponds to
$AgCl$ is dissolved in excess of each of $NH _{3}, KCN$ and $Na _{2} S _{2} O _{3}$. The complex ions produced in each case are
Among the following the third ionization energy is highest for
The most stable complex among the following is
A solid is formed by two elements $P$ and $Q$. The element $Q$ forms cubic close packing and atoms of $P$ occupy one-third of tetrahedral voids. The formula of the compound is
If the half cell reactions are given as (i) $Fe ^{2+}(a q)+2 e^{-} \rightarrow Fe (s) ;\,\,E^{\circ}=-0.44\, V$ (ii) $2 H ^{+}(a q)+\frac{1}{2} O _{2}(g)+2 e^{-} \rightarrow H _{2} O (l)$ $E^{\circ}=+1.23\, V$ The $E^{\circ}$ for the reaction $Fe (s)+2 H ^{+}+\frac{1}{2} O _{2}(g) \rightarrow Fe ^{2+}(a q)+ H _{2} O (l)$ is
A pure inductor of $25 \,mH$ is connected to a source of $220\, V$. Given the frequency of the source as $50\, Hz$, the $rms$ current in the circuit is
A pure inductive coil of $ 30\,mH $ is connected to an $ AC $ source of $ 220 \,V $ , $ 50 \,Hz $ . The $ rms $ current in the coil is
A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass reverses its direction and moves with a speed of 2 ms ~ . Which of the following statement(s) is/are correct for the system of these two masses?
Many phenotypic characters are controlled by
Rat poison is obtained from
The movement of water from higher water potential to lower water potential through a semi-permeable membrane is called
Incomplete dominance is demonstrated in
Spadix type of inflorescence is seen in
The meristem that is parallel to the longitudinal axis of the plant is
Which one of the following is a modified stem that performs photosynthesis?
A group of individuals, which are able to breed among themselves and produce their own kind, is known as
Which one of the following is not an autoimmune disease?
The strongest Lewis acid among boron halides is
Let $A = \{ 0,1,2 \}$, $B =\{ 4,2,0 \}$ and $ f,g $ : $ A \rightarrow B $ be the functions defined by $ f(x) = x^2-x $ and $ g(x) = 2|x-\frac{1}{2}|-1 $ Then,