List of practice Questions

As shown in the figure, a particle is moving with constant speed π m/s. Considering its motion from A to B, the magnitude of the average velocity is

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.  
Assertion A: Diffusion current in a p-n junction is greater than the drift current in magnitude if the junction is forward biased.  
Reason R: Diffusion current in a p-n junction is from the n-side to the p-side if the junction is forward biased.  
In the light of the above statements, choose the most appropriate answer from the options given below

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R  
Assertion A: The phase difference of two light waves change if they travel through different media having same thickness, but different indices of refraction.  
Reason R: The wavelengths of waves are different in different media.  
In the light of the above statements, choose the most appropriate answer from the options given below 

The energy associated with electric field is E and with magnetic field is B for an electromagnetic wave in free space is given by( \(∈_0\)-permittivity of free space \(μ_0\)-permeability of free space) 

A student is provided with a variable voltage source V, a test resistor R_r = 10Ω, two identical galvanometers G₁ and G₂ and two additional resistors, R₁ = 10MΩ and R₂ = 0.001Ω. For conducting an experiment to verify ohms law, the most suitable circuit is

Figure shows a part of an electric circuit. The potentials at the points a, b and c are 30V, 12V and 2V respectively. the currents through the 20 resistors will be.

A dipole comprises of two charged particles of identical magnitude q and opposite in nature. The mass ‘m’ of the positive charged particle is half of the mass of the negative charged particle. The two charges are separated by a distance ‘l’. If the dipole is placed in a uniform electric field ‘\(\overrightarrow{E}\); such a way that dipole axis makes a very small angle with the electric field, ‘\(\overrightarrow{E}\)'. The angular frequency of the oscillations of the dipole when released is given by.

The volume of 0.02 M aqueous HBr required to neutralize 10.0 mL of 0.01 M aqueous Ba(OH)₂ is ____ . (Assume complete neutralization)

Consider the following reaction that goes from A to B in three steps as shown

below Choose the correct option:

The product , which is not obtained during the electrolysis of brine solution is ____ .

The group of chemicals used as pesticide is

In the following reaction 'B' is

From the figure of column chromatography given below, identify incorrect statements

A. Compound 'c' is more polar than 'a' and 'b' 
B. Compound 'a' is least polar
C. Compound 'b' comes out of the column before 'c' and after 'a' 
D. Compound 'a' spends more time in the column 
Choose the correct answer from the options given below

Find out the major product from the following reaction.

Given below are two statements :
Statement-I: Morphine is a narcotic analgesis. It helps in relieving pain without producing sleep. 
Statement-II: Morphine and its derivatives are obtained from opium poppy. 
In the light of the above statements, choose the correct answer from the options given below.

For the system of linear equations  
2x+4y+2az=b
x+2y+3z=4 
2x-5y+2z=8 
which of the following is NOT correct ?  

Let s₁, s₂, s₃,…..,s₁₀ respectively be the sum to 12 terms of 10 A.P.s whose first terms are 1,2,3, …. ,10 and the common differences are 1, 3, 5, …. , 19 respectively. Then  \(10∑^{10}_{i=1} s_i\) is

Let a =\(\^i+4\^j​+2\^k,b=3\^i−2\^j​+7\^k \,\,\,\,and\,\,\.\ c=2\^i−\^j​+4\^k\). Find a vector d satisfies \(\overrightarrow{d}\times{\overrightarrow{b}}=\overrightarrow{c}\times{\overrightarrow{b}}\) and \(\overrightarrow{d}.\overrightarrow{a}=24\), then \(|\overrightarrow{d}|^2\) is equal to

\(max\\{0≤x≤π}\) \(\{x−2\,\, sin. x \,\,cos+\frac{1}{3} sin\,\, 3x \}=\)

The distance of the point ( -1,2,3) from the plane \(\overrightarrow{r}( \^i−2 \^j+3 \^k )=10\) parallel to the line of the shortest distance between the lines \(\overrightarrow{r}=(\^i=\^j)+λ(2\^i+\^k)\) and  \(\overrightarrow{r}=(2\^i=\^j)+μ(\^i+\^j+\^k)\)  is 

A coin is biased so that the head is 3 times as likely to occur as tail. This coin is tossed until a head or three tails occur. If X denotes the number of tosses of the coin, then the mean of X is

The negation of the statement \(((A\land(B\lor C)) ⇒ (A\lor B)) ⇒ A\) is

Two trains 'A' and 'B' of length \('l'\) and \('4l'\) are travelling into a tunnel of length 'L' in parallel tracks from opposite directions with velocities 108 km/h and 72 km/h, respectively. If train 'A' takes 35s less time than train 'B' to cross the tunnel then. length 'L' of tunnel is:
(Given L = 60 \(l\))