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An object is placed midway between a concave mirror of focal length f and a convex mirror of focal length f. The distance between the two mirrors is 6f. Trace the ray that is first incident on the concave The inner surface of the wall of a sphere is perfectly reflecting. Radius of the sphere [...]

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. (vii) (sin θ – 2sin^3θ)/(2cos^3θ-cos θ) = tan θ Prove the following identities where the angles involved are acute angles for which the expressions are defined. (vii) (sin θ - 2sin^3θ)/(2cos^3θ-cos θ) = tan θ October 5, 2020 [...]

An object is placed between a plane mirror and a concave mirror of focal length 15 cm as shown in the figure. Find the positions of the images after two reflections.An object is placed between a plane mirror and a concave mirror of focal length 15 cm as shown in the figure. Find the positions [...]

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. (vi) root 1−sinA/1+sinA = sec A + tan A Prove the following identities where the angles involved are acute angles for which the expressions are defined. (vi) root 1−sinA/1+sinA = sec A + tan A October 5, 2020 [...]

A concave mirror and a convex mirror of focal length 20 cm and 30 cm are placed at a distance of 50 cm. An object of height 3 cm is kept at a distance 15 cm from convex mirror. Find the position and height of the image State the following statements as True of False. [...]

The inner surface of the wall of a sphere is perfectly reflecting. Radius of the sphere is R. A point source S is placed at a distance R/2 from the centre of the sphere. Consider the reflection The inner surface of the wall of a sphere is perfectly reflecting. Radius of the sphere is R. [...]

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. (v) cosA+sinA-1/cosA−sinA+1 = cosec A + cot A, Using the identity cosec^2 A=1 + cot^2 A Prove the following identities Using the identity cosec^2 A=1 + cot^2 A where the angles involved are acute angles for which the [...]

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. (ix) (cosec A – sin A)(sec A – cos A) = 1/(tan A + cot A) Prove the following identities where the angles involved are acute angles for which the expressions are defined. (ix) (cosec A – sin [...]

A small plane mirror strip is kept at a distance of 10 cm in front of a convex mirror, with its plane normal to the principal axis. An object is placed at a distance of 20 cm from the plane mirror, as shown in figure. A small plane mirror strip is kept at a distance [...]

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. (iv) (1 + sec A)/sec A = sin^2A/(1-cos A) Prove the following identities where the angles involved are acute angles for which the expressions are defined. (iv) (1 + sec A)/sec A = sin^2A/(1-cos A) October 5, 2020 [...]