Maharashtra State Board
- 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
- What will happen if there is only one currency used in the whole world? The European Union is an example, which has one common currency ‘Euro’. Advantages of having one common currency. If the whole world has one... 1
- Obtain information regarding the bilateral trade between India and Japan for any financial year and the value of India’s Trade with Japan (April 2016-Jan 2017) Exports ₹ 20,000 Cr Imports ₹ 55,000 Cr Trade Balance ₹ 35,000 Cr This shows that India has a... 1
- What is balance of trade? The difference between the import and export values of a country in a specific period is called balance of trade. 1
- What do you mean by unfavourable balance of trade? When the value of imports is more than the value of exports it is called unfavourable balance of trade. 1
- What is favourable balance of trade? When the value of exports is more than the value of imports it is called favourable balance of trade. 1
- What is balanced balance of trade? When the value of exports and imports is almost same, it is called balanced balance of trade 1
- What is WTO stand for? WTO stands for World Trade Organisation. 2
- What does EU stand for? EU stands for the European Union. The European Union is an economic and political union of European countries. It grew out of the European E... 1
- What does OPEC stand for? OPEC stands for Organisation of Petroleum Exporting Countries. 2
- The Consumer Protection Act been enacted The Consumer Protection Act has been enacted to protect the consumers from fraudulent traders supplying sub-standard products. Many advertis... 1
- What do you mean by wholesale trade? In wholesale trade, the traders buy goods on a large scale from industrialists, farmers, etc. For eg. the orchard owners of mangoes or orang... 1
- What is marketing? An invisible flow develops when a product goes from producer1 to consumer. The commercial functions involved in this flow are collectively c... 1