List of practice Questions

Given: \[ \vec{a} = \hat{j} - \hat{k}, \quad \vec{c} = \hat{i} - \hat{j} - \hat{k} \] The vector \( \vec{b} \) satisfies: \[ \vec{a} \times \vec{b} + \vec{c} = \vec{0} \quad \text{and} \quad \vec{a} \cdot \vec{b} = 3 \] Find the vector \( \vec{b} \).
Choose the correct statement:
A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?
Which one is not correct mathematical equation for Dalton's Law of partial pressure? Here p = total pressure of gaseous mixture
: In this question, there is a statement followed by three courses of action numbered I, II and III. Assuming everything in the statement to be true, which of the three courses of action is logical to follow?
Statement : The weather bureau has through a recent bulletin forecast heavy rainfall during the next week which may cause water logging in several parts of the city. Course of action :
I. The bulletin should be widely publicized.
II. The civic authority should be kept in readiness for removal of water from waterlogged parts.
III. The people should be advised to stay indoors during the period.
Which one of the following produces nitrogen fixing nodules on the roots of Alnus?
Which of the following is incorrectly matched?

Read the following statements about the vascular bundles

  1. In roots, xylem and phloem in a vascular bundle are arranged in an alternate manner along the different radii.
  2. Conjoint closed vascular bundles do not possess cambium
  3. In open vascular bundles, cambium is present in between xylem and phloem
  4. The vascular bundles of dicotyledonous stem possess endarch protoxylem
  5. In monocotyledonous root, usually there are more than six xylem bundles present

Choose the correct answer from the options given below:

The parts of human brain that helps in regulation of sexual behaviour, expression of excitement, pleasure, rage, fear etc. are:
DNA polymorphism forms the basis of:
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Polymerase chain reaction is used in DNA amplification.
Reason (R): The ampicillin resistant gene is used as a selectable marker to check transformation.
In the light of the above statements, choose the correct answer from the options given below:

Which of the following combinations is required for chemiosmosis?

The equilibrium concentrations of the species in the reaction A+B\(\to\)C+D are 2, 3, 10 and 6 mol L–1, respectively at 300 K. ΔGº for the reaction is (R = 2 cal/mol K)

A compound is formed by two elements A and B. The element B forms cubic close packed structure and atoms of A occupy \(\frac 13\) of tetrahedral voids. If the formula of the compound is A,By. then the value of x +y is in option

The x-t graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at t=2s is:
x-t graph of a particle

The net impedance of circuit (as show figure) will be :
Electric Circuit

In a plane electromagnetic wave traveling in free space, the electric field component oscillates sinusoidally at a frequency of 2x1010 Hz and amplitude of 48 Vm-1. Then the amplitude of the oscillating magnetic field is: (Speed of light in free space = 3x108 ms-1)

The venturi-meter works on:

In hydrogen spectrum, the shortest wavelength in the Balmer series is λ. The shortest wavelength in the bracket series is :

A transformer is used to light a 100W and 110V lamp from 220V mains. If the main current is 0.5 amp, the efficiency of the transformer is approximately:
A child stands on the edge of the cliff $10 m$ above the ground and throws a stone horizontally with an initial speed of $5 \,ms ^{-1}$ Neglecting the air resistance, the speed with which the stone hits the ground will be ______$ms ^{-1}$ (given, $g=10 \,ms ^{-2}$ )
Is Saheb happy working at the tea-stall? Explain.

Write down the electronic configuration of:
(i) Cr3+ (iii) Cu+ (v) Co2+ (vii) Mn2+ 
(ii) Pm3+ (iv) Ce4+ (vi) Lu2+ (viii) Th4+

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8m. Find the height of the tree.
Match the objects given below with the materials from which they could be made. Remember, an object could be made from more than one material and a given material could be used for making many objects.
ObjectMaterial
BookGlass
TumblerWood
ChairPaper
ToyLeather
ShoesPlastics