List of practice Questions

If the electric field between the plates of a capacitor with charge \( 2q \) is \( E \), then what will the electric field be when the capacitor is connected to a battery with a voltage \( E \) across the plates?
In the circuit shown, the total resistance of the series combination is 0.5Ω. If a potential difference of 15V is applied, calculate the total potential across the combination of the series connected resistors.
In the diagram of two point charges \( +q \) and \( -q \), the potential at point A is given by the formula. Calculate the potential at point A if the distance between the charges is \( 2l \).
For a resistor \( R \), the potential across it is given by \( 1.6 \times 10^{-6} \, \text{C} \) of charge and a voltage across it. The electrical potential due to this charge will depend on:
In a circuit with resistors and a voltage of \( V \), if a new resistor is added to the series combination, what will be the new potential?
In the circuit shown, what is the voltage at point \( P \)?
What are the dimensions of the thermal conductivity coefficient \( k \) (SI units)?
Find the value of $ \sin 75^\circ \cos 15^\circ + \cos 75^\circ \sin 15^\circ $.
The metal ion whose electronic configuration is not affected by the nature of the ligand and which gives a violet color in non-luminous flame under hot condition in borax bead test is:
The maximum covalency of a non-metallic group 15 element 'E' with the weakest E-E bond is:
Given below are two statements:
Statement I: Like nitrogen that can form ammonia, arsenic can form arsine.
Statement II: Antimony cannot form antimony pentoxide.
In the light of the above statements, choose the most appropriate answer from the options given below:
Which of the following elements has the highest first ionization energy?
From the following identify the change in which electron gain enthalpy is positive. (g = gas phase):
The correct order of electronegativity of group 13 elements is
Select the figures which, when fitted with each other, will form a complete square.
If \(f(x) = \begin{cases} \frac{a\sin x - bx + cx^2 + x^3}{2\log(1+x) - 2x^3 + x^4} & , x \neq 0 \\ 0 & , x = 0 \end{cases}\) is continuous at \(x = 0\), then
Let the points \( \left( \frac{11}{2}, \alpha \right) \) lie on or inside the triangle with sides \( x + y = 11 \), \( x + 2y = 16 \), and \( 2x + 3y = 29 \). Then the product of the smallest and the largest values of \( \alpha \) is equal to:
The system of equations \[ x + y + z = 6, \] \[ x + 2y + 5z = 9, \] \[ x + 5y + \lambda z = \mu, \] has no solution if:
The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together is:
The equivalent resistance between points A and B in a circuit with two resistors of 6 \(\Omega\) each connected in parallel is:
What is the total charge required for the reduction of 2/3 moles of Al\(_2\)O\(_3\) to form Al?
Payal was working in a Multinational company. Her father gifted her a smart phone worth ` 40,500 on her birthday. The mobile phone was purchased by her father from his friend’s shop. After few months, the mobile phone started creating problems. Payal tried to contact the manufacturer many times but he did not respond. Ultimately Payal decided to file a complaint against the manufacturer. The appropriate grievance redressal machinery where Payal can file a complaint is:
If $ f(x) = 2x^2 - 3x + 5 $, find $ f(3) $.
If unrecorded assets are taken over by a partner, the entry will be:
600 shares of ₹10 each were issued at 20% premium. Final call of ₹3 not received on 100 shares. What is the forfeiture amount?