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cbse physics atoms class 12 question bank

CBSE Physics PYQ

Atoms: Question Bank

Atoms Question Bank | Class 12 Physics CBSE Class 12 › Chapter 12 Notes Atoms: Question Bank Practice Set: Rutherford ...

cbse physics dual nature of radiation matter class 12 question bank

CBSE Physics PYQ

Dual Nature of Radiation and Matter: Question Bank

[latexpage] Dual Nature Question Bank | Class 12 Physics CBSE Class 12 › Chapter 11 Notes Dual Nature of Radiation ...

cbse physics wave optics class 12 question bank

CBSE Physics PYQ

Wave Optics: Question Bank

Wave Optics Question Bank | Class 12 Physics CBSE Class 12 › Chapter 10 Notes Wave Optics: Question Bank Practice ...

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3D scientific visualization of an electric dipole with glowing blue positive and negative charges connected by curved orange electric field lines. Electric field and charges

CBSE Class 12 Numerical Problems

10 Solved Numericals on Electric Charges and Fields

[latexpage] 10 Solved Numericals on Electric Charges and Fields | Physics Q&A CBSE Class 12 › Electric Charges and Fields ...

$An infinitely long wire, located on the z-axis, carries a current \( I \) along the \( +z \)-direction and produces the magnetic field \( \vec{B} \). The magnitude of the line integral \( \int \vec{B} \cdot d\vec{l} \) along a straight line from the point \( (-\sqrt{3}a, a, 0) \) to \( (a, a, 0) \) is given by \[ \text{[} \mu_0 \text{ is the magnetic permeability of free space.] } \]$

Numerical Problems

An infinitely long wire, located on the z-axis, carries a current $I$ along the $+z$ -direction and produces the magnetic field $\vec{B}$ . The magnitude of the line integral $\int \vec{B} \cdot d\vec{l}$ along a straight line from the point $(-\sqrt{3}a, a, 0)$ to $(a, a, 0)$ is given by:
$\text{[} \mu_0 \text{ is the magnetic permeability of free space.] }$

Problem: An infinitely long wire, located on the z-axis, carries a current \( I \) along the \( +z \)-direction ...

A dimensionless quantity is constructed in terms of electronic charge 𝑒 e, permittivity of free space 𝜀 0 ε 0 , Planck’s constant ℎ h, and speed of light 𝑐 c. If the dimensionless quantity is written as 𝑒 𝛼 𝜀 0 𝛽 ℎ 𝛾 𝑐 𝛿 e α ε 0 β h γ c δ and 𝑛 n is a non-zero integer, then ( 𝛼 , 𝛽 , 𝛾 , 𝛿 ) (α,β,γ,δ) is given by:

Numerical Problems

A dimensionless quantity is constructed in terms of electronic charge $e$ , permittivity of free space $\varepsilon_0$ , Planck’s constant $h$ , and speed of light $c$ . If the dimensionless quantity is written as $e^\alpha \varepsilon_0^\beta h^\gamma c^\delta$ and $n$ is a non-zero integer, then $(\alpha, \beta, \gamma, \delta)$ is given by

Problem: A dimensionless quantity is constructed in terms of electronic charge \( e \), permittivity of free space \( \varepsilon_0 ...

Show that the electric potential a distance z above the centre of a horizontal circular loop of radius R, which carries a uniform charge density per unit length λ

Numerical Problems

Show that the electric potential a distance z above the centre of a horizontal circular loop of radius R, which carries a uniform charge density per unit length λ…..

Problem: Show that the electric potential a distance z above the centre of a horizontal circular loop of radius R, ...

(a) A tiny ball of mass 0.6 g carries a charge of magnitude 8μC. It is sus pended by a thread in a downward electric field of intensity 300N/C. What is the tension...

Numerical Problems

(a) A tiny ball of mass 0.6 g carries a charge of magnitude 8μC. It is suspended by a thread in a downward electric field of intensity 300N/C. What is the tension…..

Problem: (a) A tiny ball of mass \(0.6\) g carries a charge of magnitude \(8\mu\)C. It is suspended by a ...

Figure shows two point clusters of charge situated in free space placed on a line that is called the x-axis. The first, with a positive charge of Q1 =+8e, is at the origin.

Numerical Problems

(a) Figure shows two point clusters of charge situated in free space placed on a line that is called the x-axis. The first, with a positive charge of Q1 =+8e, is at the origin……

Problem: (a) Figure shows two point clusters of charge situated in free space placed on a line that is called ...

A spring is used to stop a crate of mass 50 kg which is sliding on a horizontal surface. The spring has a spring constant k = 20kN/m and is initially in its equilibrium state. In position A shown in the top diagram the crate has a veloc- ity of 3.0 m/s. The compression of the spring when the crate is instantaneously at rest (position B in the bottom diagram) is 120 mm. (i) What is the work done by the spring as the crate is brought to a stop? (ii) Write an expression for the work done by friction during the stopping of the crate (in terms of the coefficient of kinetic friction). (iii) Determine the coefficient of friction between the crate and the surface. (iv) What will be the velocity of the crate as it passes again through position A after rebounding off the spring(a, b) ?

Numerical Problems

A spring is used to stop a crate of mass 50 kg which is sliding on a horizontal surface. The spring has a spring constant k = 20kN/m and is initially in its equilibrium state….

Problem: A spring is used to stop a crate of mass 50 kg which is sliding on a horizontalsurface. The ...

A body slides down a rough plane inclined to the horizontal at 30◦. If 70% of the initial potential energy is dissipated during the descent, find the coefficient of sliding friction

Numerical Problems

A body slides down a rough plane inclined to the horizontal at 30^0…

A body slides down a rough plane inclined to the horizontal at \(30^{\circ}\). If \(70\%\) of the initial potential energy ...

The constant forces F1 = i+2j +3k N and F2 = 4i -5j -2k N act together on a particle during a displacement from position r2 = 7k cm to position r1 = 20i + 15 j cm. Determine the total work done on the particle.

Numerical Problems

The constant forces $\Large{\bf F_1 = \hat i+2\hat j +3\hat k}$ N and $\Large{\bf F_2 = 4\hat i -5\hat j -2\hat k}$ N act together on a particle…

Problem: The constant forces \( \mathbf{F_1} = \hat{i} + 2\hat{j} + 3\hat{k} \, \text{N} \) and \( \mathbf{F_2} = 4\hat{i} ...

A block of metal of mass 2 kg on a horizontal table is attached to a mass of 0.45 kg by a light string passing over a frictionless pulley at the edge of the table. The block is subjected to a hori

Numerical Problems

A block of metal of mass 2 kg on a horizontal table is attached to a mass of 0.45 kg by a light string passing over a frictionless……

A block of metal of mass 2 kg on a horizontal table is attached to a mass of 0.45 kg ...

Consider a particle of mass m moving in one dimension under a force with the potential U(x) = k(x^2 − 4xl), where the constant k > 0. Show that the point x = 2l corresponds to a stable equilibrium position of the particle. Find the frequency of a small amplitude oscillation of the particle about the equilibrium position.

Numerical Problems

Consider a particle of mass m moving in one dimension under a force derived from the potential energy U(x) = k(x^2 − 4xl), where k > 0…..

Understanding how particles behave under different potential energies is key in classical mechanics. We explore a one-dimensional system where a ...

Consider a particle of mass m moving in one dimension under a force with the potential U(x) = k(2x^3 − 5x^2 + 4x), where the constant k > 0. Show that the point x = 1 corresponds to a stable equilibrium position of the particle.

Numerical Problems

Consider a particle of mass m moving in one dimension under a force with the potential U(x) = k(2x^3 − 5x^2 + 4x)…

Consider a particle of mass m moving in one dimension under a force with thepotential \(U(x) = k(2x^3 − 5x^2 ...

A thin cylindrical wheel of radius r = 40 cm is allowed to spin on a frictionless axle. The wheel, which is initially at rest, has a tangential force applied at right angles to its radius of magnitude 50 N. The wheel has a moment of inertia equal to 20 kg m^2...

Numerical Problems

A thin cylindrical wheel of radius r = 40 cm is allowed to spin on a frictionless axle. The wheel, which is initially at rest, has a tangential force applied at right angles to its radius of magnitude 50 N. The wheel has a moment of inertia equal to 20 kg m^2…

(a) A thin cylindrical wheel of radius r = 40 cm is allowed to spin on a frictionless axle. The ...

A projectile of mass 20.0 kg is fired at an angle of 55.0 degree to the horizontal….

Numerical Problems

A projectile of mass 20.0 kg is fired at an angle of $\Large 55.0^\circ$ to the horizontal….

A projectile of mass 20.0 kg is fired at an angle of 55.0° to the horizontal with an initial velocity ...

Cars A and B are travelling in adjacent lanes along a straight road

Numerical Problems

Cars A and B are travelling in adjacent lanes along a straight road…

Cars A and B are travelling in adjacent lanes along a straight road as shown.At time, t = 0 their ...

A stone is thrown from ground level over horizontal ground. It just clears three walls

Numerical Problems

A stone is thrown from ground level over horizontal ground. It just clears three walls..

A stone is thrown from ground level over horizontal ground. It just clears three walls, the successive distances between them ...

A boy wishes to throw a ball through a house via two small openings, one in

Numerical Problems

A boy wishes to throw a ball through a house via two small openings, one in..

A boy wishes to throw a ball through a house via two small openings, one inthe front and the other ...

From an elevated point A, a stone is projected vertically upward

Numerical Problems

From an elevated point A, a stone is projected vertically upward…

From an elevated point A, a stone is projected vertically upward. When the stone reaches a distance h below A, ...

The diameter of a cylinder is measured using a vernier calipers with no zero error

Numerical Problems

The diameter of a cylinder is measured using a vernier calipers with no zero error…

The diameter of a cylinder is measured using a vernier calipers with no zero error. It is found that the ...

A vernier calipers has 1mm marks on the main scale

Numerical Problems

A vernier calipers has 1mm marks on the main scale. It has 20 equal divisions on the Vernier scale which match with 16 main scale divisions. Calculate the least count of Vernier calipers.

Vernier calipers are precision instruments used for measuring internal and external dimensions with high accuracy. The instrument consists of a ...

If the velocity of light c, the constant of gravitation G, and Plank’s constant h are chosen as fundamental units

Numerical Problems

If the velocity of light c, the constant of gravitation G, and Plank’s constant h are chosen as fundamental units, find the dimensions of mass, length, and time in terms of c, G, and h.

In physics, the choice of fundamental units can vary depending on the field of study. In certain advanced fields, such ...

if the nth division of main scale coincides with (n+1)th division of vernier scale

Numerical Problems

If the nth division of main scale coincides with (n+1)th division of vernier scale, find the least count of the vernier. Given one main scale divisions equal to ‘a’ units

In the context of precision measurements, the vernier caliper is an instrument that allows for more precise measurements than a ...

$An electron is moving around an infinite linear charge in a circular path of diameter $\large{0.30 m}$. If linear charge density is $\large{10^{–6} C/m}$, then calculate the speed of an electron. ($\large{m_e= 9.0 \times 10^{–31} kg, e = 1.6 \times 10^{–19} C}$)[latexpage]$

Numerical Problems

An electron is moving around an infinite linear charge in a circular path of diameter $\large{0.30 m}$ . If linear charge density is $\large{10^{-6} C/m}$ , then calculate the speed of an electron. ( $\large{m_e= 9.0 \times 10^{-31} kg, e = 1.6 \times 10^{-19} C}$ )

An electron is moving around an infinite linear charge in a circular path of diameter $0.30 m$. If linear charge ...

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