Physics
Question from maharashtra board physics book of 12th maharashtra board
- One hundred twenty five small liquid drops, each carrying a charge of 0.5 µC and each of diameter 0.1 m form a bigger Data : n = 125, q = 0.5 × 10⁻⁶ C, d = 0.1 m The radius of each small drop, r = d/2 = 0.05 m The volume of the larger drop being equal to the... 1
- The dipole moment of a water molecule is 6.3 × 10-30 Cm. A sample of water contains 1021 molecules Data: p = 6.3 × 10⁻³⁰ C∙m, N = 10²¹ molecules, E = 2.5 × 10⁵ N/C, θ₀ = θ₁ = 0°, θ = θ₂ = 90° W = pE(cos θ₀ – cos θ) The total work required... 1
- In a parallel plate capacitor with air between the plates, each plate has an area of 6 × 10-3 m2 and the separation Data: k = 1(air), A = 6 × 10⁻³ m², d = 2 mm = 2 × 10⁻³ m,V = 100V, t = 2 mm = d, k₁ = 6, ε₀ = 8.85 × 10⁻¹² F/m (i) The capacitance of the ai... 1
- What is gravitational Potential ? We measure the gravitational potential energy U of a body (1) by assigning U = 0 for a reference configuration (such as the body at a refere... 1
- Due to a single charge at a distance r, Force (F ) α 1/r2, Electric field (E ) α 1/r2 but Potential (V) α 1/ r. At a point a distance r from an isolated point charge, the force F on a point charge and the electric field E both vary as 1/r2, while the p... 1
- Is electrostatic potential necessarily zero at a point where electric field strength is zero? Justify. Electric potential is a scalar quantity while electric field intensity is a vector quantity. When we add potentials at a point due two or mo... 1
- If we apply a large enough electric field, we can ionize the atoms and create a condition In a sufficiently strong electric field, the molecules of a dielectric material become ionized, allowing flow of charge. The insulating prop... 1
- Series combination is used when a high voltage is to be divided on several capacitors. Capacitor with minimum capacitanc Series combination of capacitors Equivalent capacitance is less than the smallest capacitance in series. For several capacitors of given cap... 1
- The distance between two consecutive bright fringes in a biprism experiment using light of wavelength 6000 Å Given : λ₁ = 6000 Å = 6 x 10⁻⁷ m, λ_(2 )= 4800 Å = 4.8 x 10⁻⁷ m, W₁ = 0.32 mm =3.2 x 10⁻⁴ m Distance between consecutive bright fringes, W =... 1
- A star is emitting light at the wavelength of 5000 Å. Determine the limit of resolution of a telescope Given : λ = 5000 Å = 5 x 10⁻⁷ m, D = 200 x 2.54 cm = 5.08 m θ = 1.22λ/D = frac(1.22)(5×10⁻⁷)5.08 = 1.2×10⁻⁷ rad 1
- Monochromatic electromagnetic radiation from a distant source passes through a slit. Given : 2W = 6mm W = 3mm = 3 x 10⁻^(3 )m, y=2.5 m, (a) λ₁ = 500 nm = 5 x 10⁻^(7 )m (b) λ₂ = 50 μm = 5 x 10⁻^(5 )m (c) λ_(3 )= 0.500 nm = 5 x... 1
- What must be the ratio of the slit width to the wavelength for a single slit to have the first diffraction Given : θ = 45°, m = 1 a sin θ = mλ for (m = 1, 2, 3... minima) Here, m = 1 (First minimum) a sin 45° = (1) λ ∴ a/λ = 1/sin 45° = 1.414 This... 1
- A parallel beam of green light of wavelength 546 nm passes through a slit of width 0.4 mm. Given : λ = 546 nm = 546 x 10⁻⁹ m, a = 0.4 mm = 4 x 10⁻⁴ m, D = 40 cm = 40 x 10⁻² m, y_md = mλD/a ∴ y₁d = 1λD/a And 2y₁d = 2λD/a =(frac2×546... 1
- The intensity of the light coming from one of the slits in Young’s experiment is twice the intensity of the light coming Given : I₁:I₂ = 2:1 If E₁₀ and E₂₀ are the amplitudes of the interfering waves, the ratio of the maximum intensity to the minimum intensity... 1
- In Fraunhoffer diffraction by a narrow slit, a screen is placed at a distance of 2 m from the lens Given: D = 2 m, y₁d = 5 mm = 5 x 10⁻³ m, a = 0.2 mm = 0.2 x 10⁻³ m = 2 x 10⁻⁴ m y_md = mλD/a ∴ λ = fracy_1daD=frac5×10⁻³×0.2×10⁻³2 ∴ λ = 5 x... 1
- In a biprism experiment, the fringes are observed in the focal plane of the eyepiece at a distance of 1.2 m Given : D = 1.2 m The distance between the central bright band and the 20th bright band is 0.4 cm. ∴ y₂₀ = 0.4 cm = 0.4 x 10⁻² m W = y₂₀/20... 1
- Unpolarized light with intensity I0 is incident on two polaroids. The axis of the first polaroid makes According to Malus’ law, when the unpolarized light with intensity I₀ is incident on the first polarizer, the polarizer polarizes this incide... 1
- In a double-slit arrangement the slits are separated by a distance equal to 100 times the wavelength Data : d = 100 λ, D = 50.0 cm a) The condition for maximum intensity in Young's experiment is, d sin θ = nλ , n = 0, 1, 2..., The angle betw... 2
- A double-slit arrangement produces interference fringes for sodium light (λ =589 nm) that are 0.20° apart. Given : θ₁ = 0.20°, n_w = 1.33 In the first approximation, D sin θ_(1 )= y₁ and D sin θ_(2 )= y₂ sin θ₂/sin θ₁ = y₂/y₁ …..(1) Now, y ∝ λD/d... 1
- The optical path of a ray of light of a given wavelength travelling a distance of 3 cm in flint Let d_fg and d_m be the distances by the ray of light in the flint glass and the medium respectively. Also, let n_fg and n_m be the refractiv... 1
- White light consists of wavelengths from 400 nm to 700 nm. What will be the wavelength range seen Let λ₁ and λ₂ be the wavelengths of light in water for 400 nm and 700 nm (wavelengths in vacuum) respectively. Let λ_v be the wavelength of... 1
- Discuss the necessary of radius of gyration define as on what factors does it depend and it does not depend Definition : The radius of gyration of a body rotating about an axis is defined as the distance between the axis of rotation and the point a... 2
- n Young’s double slit experiment, a thin uniform sheet of glass is kept in front of the two slits, (A) The interference pattern will remain unchanged 2
- In Young’s double slit experiment, the two coherent sources have different intensities. (D) 9:4 the ratio of intensities of the two sources is 9:4 2