Maharashtra State Board
- What is the function of iris and the muscles connected to the lens in human eye? Function of Iris: The iris is a muscular diaphragm that controls the size of the pupil, which, in turn, controls the amount of light enterin... 1
- Distinguish between b. Concave lens and Convex Lens Concave lens Convex lens It is a diverging lens because it diverges the rays falling on it. It is a converging lens because it converges the... 1
- Distinguish between: a. Farsightedness and Nearsightedness Farsightedness (hypermetropia) Nearsightedness (Myopia) In hypermetropia, person clearly sees all the far away objects, but is unable to see... 1
- Explain the working of an astronomical telescope using refraction of light. The astronomical telescope consists of two lenses: objective and eyepiece. Objective has larger focal length and diameter to accommodate max... 1
- We can not clearly see an object kept at a distance less than 25 cm from the eye. We cannot clearly see an object kept at a distance less than 25 cm from the eye. This is because when we try to see a nearby object, the eye... 1
- One can sense colours only in bright light. The retina in the eye is made of many light sensitive cells. The rod-shaped cells respond to the intensity of light while the cone-shaped ce... 1
- Simple microscope is used for watch repairs. When an object is placed within the focal length of a magnifying glass or simple microscope (convex lens), its larger and erect image is obt... 1
- At which position will you keep an object in front of a convex lens so as to get a real image of the same size as the object ? Draw a figure. When an object is placed at the centre of curvature 2F₁ of a convex lens, we will get a real image 2F₂ of the same size as the object. 1
- Draw a figure explaining various terms related to a lens Various Terms related with Lenses: 1) Optical centre : The point inside a lens on the principal axis, through which light rays pass without... 1
- Q1} Match the columns in the following table and explain them Column 1 Column 2 Column 3 Farsightedness Faraway object can be seen clearly Convex lens Presbyopia Problem of old age Bifocal lens Nearsigh... 2
- A kite is flying at a height of 60 m above the ground. The string attached to the kite is tied at the ground. It makes an angle of 60° with the ground. Given data: Height of kite above the ground: 60 m Angle between the string and the ground: 60° Formula used: sine function: sin(angle) = opp... 1
- A storm broke a tree and the treetop rested 20 m from the base of the tree, making an angle of 60° with the horizontal. Find the height of the tree. Correct Answer is 40+20√3 m 1
- Two poles of heights 18 metre and 7 metre are erected on a ground. The length of the wire fastened at their tops in 22 metre Correct answer is 30 degree 1
- Two buildings are facing each other on a road of width 12 metre. From the top of the first building, which is 10 metre high, the angle of elevation See image for answer 2
- From the top of a lighthouse, an observer looking at a ship makes angle of depression of 60°. If the height of the lighthouse is 90 metre Correct Answer is 51.9 m 1
- A person is standing at a distance of 80m from a church looking at its top. The angle of elevation is of 45°. Find the height of the church Correct Answer is 80 m 1
- proove that tan theta\sec theta - 1= tan theta + sec theta + 1/ tan theta + sec theta - 1} Hence , prooved 2
- Prove That: Sec 4 a ( 1 − Sin 4 a ) − 2 Tan 2 a = 1 Hence , prooved 2
- Prove That: Tan a ( 1 + Tan 2 a ) 2 + Cot a ( 1 + Cot 2 a ) 2 = Sin a Cos a Hence , prooved 2
- If tanθ+ 1/tanθ =2 thenshow that tan ^2 θ+ 1/ tan^2θ=2 Hence prooved 2
- proove that viii. } secθ+tanθ=cosθ/(1−sinθ) Hence , prooved 2
- Proove that vii. sin^4 θ – cos^4 θ = 1 – 2 cos^2 θ Hence , prooved 2
- prove that vi ) 1/secθ−tanθ=secθ+tanθ Hence , prooved 2
- proove that v. cot θ + tan θ =cosec θ. sec θ Hence , prooved 2