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PHYSICS

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45 questions

A copper wire of length 2 m and cross-sectional area 2 × 10⁻⁶ m² carries a current of 2 A . If the number density

Given: A copper wire of length 2 m and cross-sectional area 2 × 10⁻⁶ m² carries a current of 2 A . If the number density of free electrons in copper is 8.5 × 10²⁸ m^{-3 and e = 1.6 × 10⁻¹⁹ C, what is the drift speed of the electrons? These values define the system as per NCERT data. Formula: Drift speed is given by v_d = I/n e A. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: Given: I = 2 A, n = 8.5 × 10²⁸ m^{-3, e = 1.6 × 10⁻¹⁹ C, A = 2 × 10⁻⁶ m² . Substitute: v_d = frac28.5 × 10²⁸ × 1.6 × 10⁻¹⁹ × 2 × 10⁻⁶. Calculate: v_d = 2/2.72 × 10⁴= 7.35 × 10⁻⁵ m/s . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Current Electricity, Topic: Resistivity, temperature dependence and circuit analysis.

The threshold wavelength for a metal is 500 nm . What is the work function of the metal in eV? (Take h = 6.63 × 10⁻³

Given: The threshold wavelength for a metal is 500 nm . What is the work function of the metal in eV? (Take h = 6.63 × 10⁻³⁴ J s, c = 3 × 10⁸ m/s, 1 eV = 1.6 × 10⁻¹⁹ J ) These values define the system as per NCERT data. Formula: Threshold frequency v_0 = c/lambda_0 = frac3 × 10⁸⁵⁰⁰ × 10⁻⁹= 6 × 10¹⁴ Hz. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: phi_0 = h v_0 = 6.63 × 10⁻³⁴ × 6 × 10¹⁴= 3.978 × 10⁻¹⁹ J . phi_0 = frac3.978 × 10⁻¹⁹¹.6 × 10⁻¹⁹ approx 2.49 eV . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Oscillations and Waves, Topic: SHM, wave motion and superposition.

A concave lens of focal length 25 cm forms an image 10 cm from the lens. What is the object distance?

Given: A concave lens of focal length 25 cm forms an image 10 cm from the lens. What is the object distance? These values define the system as per NCERT data. Formula: Focal length: f = -25 cm (concave lens). This is the standard NCERT relation for this phenomenon. Substitution & Calculation: Image distance: v = -10 cm (virtual image). Lens formula: 1/v - 1/u = 1/f . 1/-10 - 1/u = 1/-25 Rightarrow 1/u = 1/-10 - 1/-25 = -5 + 2/50 = -3/50 . u = -50/3 approx -16.67 cm . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Ray Optics and Optical Instruments and Wave Optics, Topic: Refraction, lenses and interference/diffraction.

A circular loop of radius 0.13 m with 20 turns carries a current of 3.5 A . What is the magnetic field at the nter? ( μ

Given: A circular loop of radius 0.13 m with 20 turns carries a current of 3.5 A . What is the magnetic field at the nter? ( μ_0 = 4 π × 10⁻⁷ T m/A ) These values define the system as per NCERT data. Formula: Magnetic field B = μ_0 N I/2 R. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: B = frac4 π × 10⁻⁷ × 20 × 3.52 × 0.13 = frac28 π × 10⁻⁶⁰.26 = 1.0769 π × 10⁻⁴ approx 3.38 × 10⁻⁴ T . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Moving Charges and Magnetism and Magnetism and Matter, Topic: Magnetic field due to current loop, solenoid and magnetic dipole moment. Page number should be added only after verification from the.

A particle rotates about a fixed axis at a radius of 0.6 m with a linear speed of 7.2 m/s . What is its angular velocity

Given: A particle rotates about a fixed axis at a radius of 0.6 m with a linear speed of 7.2 m/s . What is its angular velocity? These values define the system as per NCERT data. Formula: v = omega r. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: v = 7.2 m/s, r = 0.6 m . omega = v/r = 7.2/0.6 = 12 rad/s . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Units and Measurements and Physical World, Topic: Dimensional analysis and fundamental principles.

The resistivity of insulators is typically in the range:

Insulators have high resistivity ( 10¹⁰ to 10¹⁹Ω m ) or low conductivity ( 10⁻¹¹ to 10⁻¹⁹ S m^{-1 ), preventing significant current flow. This follows from NCERT principle where the relation explains the outcome clearly for students in simple steps.

Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Current Electricity, Topic: Resistivity, temperature dependence and circuit analysis.

In the Bohr model, what is the ground state of a hydrogen atom?

The ground state is the lowest energy state, where the electron is in the orbit with n = 1, having an energy of -13.6 eV. This follows from NCERT principle where the relation explains the outcome clearly for students in simple steps.

Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Laws of Motion, Work Energy Power, Gravitation and System of Particles, Topic: Newton's laws, work-energy theorem and rotational dynamics.

A photon of wavelength 300 nm is incident on a metal. What is its energy in eV? (Take h c = 1240 eV nm )

Given: A photon of wavelength 300 nm is incident on a metal. What is its energy in eV? (Take h c = 1240 eV nm ) These values define the system as per NCERT data. Formula: Energy E = h c/lambda. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: E = 1240/300 approx 4.13 eV . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Oscillations and Waves, Topic: SHM, wave motion and superposition.

A shell of mass 0.01 kg is fired from a gun of mass 50 kg with a muzzle speed of 100 m/s . What is the recoil speed of t

Given: A shell of mass 0.01 kg is fired from a gun of mass 50 kg with a muzzle speed of 100 m/s . What is the recoil speed of the gun? These values define the system as per NCERT data. Formula: Before firing: p_{initial = 0. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: By conservation of momentum, total momentum before and after firing is zero. . After firing: m_{shell v_{shell + m_{gun v_{gun = 0 . Substitute: 0.01 × 100 + 50 × v_{gun = 0 . 1 + 50 v_{gun = 0 Rightarrow v_{gun = -1/50 = -0.02 m/s . Recoil speed (magnitude) = 0.02 m/s . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Moving Charges and Magnetism and Magnetism and Matter, Topic: Magnetic field due to current loop, solenoid and magnetic dipole moment. Page number should be added only after verification from the.

A solenoid with mutual inductance 0.22 H has a current change of 7 A/s in the primary coil. What is the induced emf in t

Given: A solenoid with mutual inductance 0.22 H has a current change of 7 A/s in the primary coil. What is the induced emf in the secondary coil? These values define the system as per NCERT data. Formula: varepsilon = M dI/dt = 0.22 × 7 = 1.54 V .. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: Substituting values like 1.2 × 10⁻⁵, 236 J kg⁻¹ K⁻¹, CH₃CH₂NH₂ etc. into the formula and simplifying step by step. Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Moving Charges and Magnetism and Magnetism and Matter, Topic: Magnetic field due to current loop, solenoid and magnetic dipole moment. Page number should be added only after verification from the.