List of practice Questions

Which of the following gymnosperms is a bushy trailing shrub ?
When a same force of 5 N is applied to two balls A and B separately, they move along the direction of the force with a velocity of 5 ms and 10 ms respectively. The rate of work done on the ball A to that on B are in the ratio
Water flows through a horizontal pipe of diameter $2 \,cm$ at a speed of $3 \,cm \,s^{-1}$, The pipe has a nozzle of diameter $0.5 \,cm$ at its end. The speed of water emerging from the nozzle is
A cell divides every minute. At this rate of division it can fill a 100 ml. of beaker in one hour. How much time does it take to fill a 50 ml beaker ?
The reaction $ {P_4 + 3NaOH + 3H_2O -> 3NaH_2PO_2 + PH_3} $ is an example of
A 240 V,60 Hz voltage source is connected to resistor of 60Ω. Find the value of net power consumed by resistance over a complete cycle.
Certain amount of heat is given to 100 g of copper to increase its temperature by 21 $^{\circ}$C. if the same amount of heat is given to 50 g of water, then the rise in its temperature is (specific heat capacity of copper = 400 Jkg$^{-1} K^{-1}$ and that for water =4200Jkg$^{-1}ZK^{-1}$
If the 21st and 22nd terms in the expansion of $(1 + x)^{44}$, are equal, then x =
Benzonitrile can be prepared from benzaldehyde on treatment with
Intermolecular hydrogen bonding exists in
Draw a well-labelled diagram of an antibody molecule.

In the decomposition reaction AB\(_5\)(g)\(\rightleftharpoons\) AB\(_3\)(g) + B\(_2\)(g), at equilibrium in a 10-litre closed vessel at 227 C, 2 moles of AB\(_3\), 5 moles of B\(_2\) and 4 moles of AB\(_5\) are present. The equilibrium constant K\(_c\) for the formation of AB\(_5\)(g) is

Three numbers $x, y$ and $z $ are in arithmetic progression. If $x + y + z = - 3$ and $xyz= 8$, then $x^2 + y^2 + z^2$ is equal to
What role does the molecular interaction play in a solution of alcohol and water?
In a double slit experiment, the screen is placed at a distance of $1.25 \,m$ from the slits. When the apparatus is immersed in water $ ({{\mu }_{w}}=4/3) $ , the angular width of a fringe is found to be $ {{0.2}^{o}} $ . When the experiment is performed in air with same set up, the angular width of the fringe is

Butanone is a four-carbon compound with the functional group

The decomposition of ${N_2O_5}$ in ${CCl_4}$ at 318 K is studied by monitoring the concentration of ${N2O5}$ in the solution. Initially the concentration of ${N2O5}$ is 2.4 mol $L^{-1}$ and after 200 minutes, it is reduced to 2.00 mol $L^{-1}$. What is the rate of production of $NO_2$ during this period in $mol\, L^{-1} min^{-1}$ ?
Solve the following equations: 
(a) 10p = 100
(b) 10p + 10 = 100
(c)\(\frac{p}{4}\)=5
(d) \(\frac{-p}{3}\)=5
(e)\(\frac{3p}{4}\)=6
(f)3s=-9
(g)3s+12=0
(h)3s=0
(i)2q=6
(j)2q-6=0
(k)2q+6=0
(l)2q+6=12

In each of the following cases, state whether the function is one-one, onto or bijective. Justify your answer.

  1. f : R→R defined by f(x)=3−4x
  2. f : R→R defined by f(x)=1+x2
At the time of short circuit, the current in the circuit
Which factors are not included in the prime factorisation of a composite number?
Let $S_{n}$ denote the sum of first $n$ terms of an $A.P$. and $S_{2n} = 3S_{n}$. If $S_{3n} =k S_{n}$, then the value of $k$ is equal to
Let $ z=\frac{11-3i}{1+i}. $ If a is a real number such that $ z-i\alpha $ is real, then the value of $ \alpha $ is
The output of the circuit is
The coefficient of $x$ in the expansion of $ (14+x)(1+2x)(1+3x)....(1+100x) $ is