Maharashtra State Board
- proove that iv. (sec θ – cos θ) (cot θ + tan θ)= tan θ. sec θ Hence , prooved 2
- Prove that √1-sinθ/1+sinθ=secθ−tanθ Hence , prooved 2
- prove that cos^2 θ (1+ tan2 θ) = 1 Hence , prooved 2
- prove that sin^2θ/cosθ+cosθ=secθ Solution is in img format 2
- If tan θ = 1, then find the value of sinθ+ cosθ /secθ+cosecθ value of equation is 1/2 1
- If 5 sec θ – 12 cosec θ = θ, find the values of sec θ, cos θ and sin θ. Values of secθ is 13/ 5 , cos theta is 5/13 and sin theta is 12/13 1
- If cot θ = 40/9, find the values of cosec θ and sin θ Correct answer for cosec θ is 41/9 and for sinθ is 9/41 1
- If tan θ = 3/4, find the values of sec θ and cos θ. Correct answer for secθ=5/4 and cosθ=4/5 Solution:: 1
- If sin θ = 7/25, find the values of cos θ and tan θ. Value of cosθ is 24/25 , tanθ=7/24 Solution:: 1
- Trigonometry notes std 10th maharashtra board pdf english medium exercise 6.1 Download pdf for offline study , If you have any doubt just use Brainiak live doubt support {only for registered users for free} Download 1
- If the absolute refractive indices of glass and water are 3/2 and 4/3 respectively, what is the refractive index of glass with respect to water? 9/8 is Refractive index of glass w.r.t. water 1
- (i). If the speed of light in a medium is 1.5 × 108 m/s, what is the absolute refractive index of the medium? 2 is the absolute refractive index of the medium 1
- C. If the refractive index of glass with respect to air is 3/2, what is the refractive index of air with respect to glass? (i). 1/2 (ii). 3 (iii). 1/3 (iv). 2/3 The correct answer is option (iv). Refractive index of air with respect to glass is 2/3. 1
- B. We can see the Sun even when it is little below the horizon because of i. Reflection of light ii. Refraction of light Correct option is (ii) We can see the Sun even when it is little below the horizon because of refraction of light. 1
- A. What is the reason for the twinkling of stars? i . Explosions occurring in stars from time to time ii. Absorption of light in the earth’s atmosphere The correct answer is option (iv). The reason for the twinkling of stars is changing refractive index of the atmospheric gases. 1
- (ii) A rainbow is the combined effect of the refraction, dispersion, and total internal reflection of light. The rainbow formation in the sky is the combined effect of the refraction, dispersion, and total internal reflection of light. (1) The sunli... 1
- (i) If the angle of incidence and angle of emergence of a light ray falling on a glass slab are i and e respectively, prove that, i = e. In the fig SR || PQ and OM is the reflected ray Hence r₁=r₂ Let μ be the refractive index of the glass slab. Then, according to Snell's law,... 1
- Fill in the blanks and Explain the completed sentences. (i) . Refractive index depends on the ............. of light. (i) Refractive index depends on the wavelengthof light. (ii) The change in directionof light rays while going from one medium to another is... 1
- 4.A calorimeter has mass 100 g and specific heat 0.1 kcal/ kg °C. It contains 250 gm of liquid at 30°C having specific heat of 0.4 kcal/kg °C. Answer: about 20.8 °C Convert specific heats: 0.1 kcal/kg °C = 0.1 cal/g °C and 0.4 kcal/kg °C = 0.4 cal/g °C. Take the latent heat of melti... 1
- A thermally insulated pot has 150 g ice at temperature 0°C. How much steam of 100°C has to be mixed to it, so that water of temperature 50°C will be obtained? Answer: about 33 g of steam Let the mass of steam be m g. Heat gained by ice (melts at 0 °C, then warms to 50 °C): 150×80 + 150×1×50 = 12000... 1
- Liquid ammonia is used in ice factory for making ice from water. If water at 20°C is to be converted into 2 kg ice at 0°C, Answer: about 586.5 g of ammonia Heat to be removed from the water (mass 2 kg = 2000 g, specific heat 1 cal/g °C, latent heat of fusion of i... 1
- Equal heat is given to two objects A and B of mass 1 g. Temperature of A increases by 3°C and B by 5°C. Which object has more specific heat? And by what factor? Correct answer is 5/3 https://youtu.be/vENdt48i2W4 2
- 8. Read the following paragraph and answer the questions. i. Heat is transferred from where to where? Ans: Heat is transferred from the object at higher temperature to the object at lower temperatur... 1
- d. On what basis and how will you determine whether air is saturated with vapour or not? On the basis of amount of water vapours present in the air, it can be either saturated or unsaturated. If the amount of water vapours exceed... 1