How do you find the radius of curvature in projectile motion?

Radius of curvature at maximum height At maximum height, angle that the velocity vector makes with the horizontal, . So, radius of curvature at maximum height = u 2 cos 2 ⁡ .

What is the formula of radius curvature?

In an ellipse with major axis 2a and minor axis 2b, the vertices on the major axis have the smallest radius of curvature of any points, R = b²a; and the vertices on the minor axis have the largest radius of curvature of any points, R = a²b.

What is meant by radius of curvature in projectile motion?

Radius of curvature of a path at a point is a circle to which the curve of the path touches the circle tangentially. It tells us how much the curve is at this point. Less the radius of curvature, more pointed is the curve at the given point.

How do you find the radius of curvature given velocity?

Radius of curvature is governed by a=v2/r.

How do you calculate radius?

How to Find the Radius of a Circle?

1. When the diameter is known, the formula is Radius = Diameter/ 2.
2. When the circumference is known, the formula is Radius = Circumference/2π.
3. When the area is known, the formula for the radius is Radius = ⎷(Area of the circle/π).

Is radius and radius of curvature same?

Radius refers to the distance between the center of a circle or any other point on the circumference of the circle and surface of the sphere. While on the other hand, the radius of curvature is the radius of the circle that touches the curve at a given point. Also, it has the same tangent and curvature at that point.

What is the formula for the radius of curvature in Spherometer experiment?

The radius of curvature of a concave mirror measured by a spherometer is given by R=6hl2+2h.

How do you find the radius of curvature using a Spherometer?

Place the spherometer on the convex surface so that all the three legs rest on it. Turn the screw gently downwards till it touches the convex surface. Let a be the reading taken from the circular scale which is in line with the vertical scale. Now remove and place the spherometer on the plane mirror.

Is radius of curvature equal to centre of curvature?

Answer. Answer: No, a centre of curvature and the radius of curvature is not the same.

What is radius of curvature in physics?

Radius of curvature: The radius of curvature of a spherical mirror is the radius of the sphere of which the reflecting surface of spherical mirror is a part and is represented by r’ Focal point : It is the distance between the pole P and the focus F and is represented by f.

What is radius of curvature class 10th?

The radius of curvature is the radius of sphere formed by the convex or concave mirror. It is also equal to the distance between the pole and centre of curvature. The sign convention for focal length and radius of curvature is the same.

Is radius of curvature equal to focal length?

Radius of curvature is observed to be equal to twice the focal length for spherical mirrors with small apertures. Hence R = 2f .

Is principal axis and radius of curvature same?

This line is known as the principal axis. The line that meets the center is called the principle axis. The distance from the vertex to the center of curvature is known as the radius of curvature (represented by R).

What is focal length and radius of curvature?

The focal length is the distance between the focus (F) and pole (P) of the mirror. The distance between the focus F and centre of curvature (C) is called radius of curvature. The radius of curvature is twice the focal length of the mirror.

What is the relation between radius of curvature and focal length of a lens if the radius of curvature of a lens is 30cm find its focal length?

Focal length and radius of curvature are related as: f=2R.

How do you find the focal length of a convex lens using radius of curvature?

Analytically, the focal length is described by the lens maker’s equation: 1/f = (n – 1)(1/R₁ + 1/R₂), where R₁ and R₂ are the radii of curvature, f is the focal length, and n is the index of refraction.

What is focal length of a lens whose radius of curvature is 30cm?

= 1/2 X 30 = 15cm.

What is the focal length of a convex mirror whose radius of curvature is 32cm?

16 cm

Find the focal length of a convex mirror whose radius of curvature is 32 cm. The focal length of a spherical mirror is equal to half the radius of curvature of that mirror. Hence, the focal length of the given convex mirror is 16 cm.

How do you find the focal length of a concave mirror from radius of curvature 32cm?

Find the focal length of a concave mirror whose radius of curvature is 32 cm. Solution: We know that the focal length of a spherical mirror is half of its radius of curvature. Hence, the focal length of a concave mirror will be -16cm.

What is the formula to find the focal length of a convex mirror?

You can measure the radius of curvature (R) of the mirror by measuring the distance between convex mirror and the screen placed behind the mirror. You can calculate the focal length of the mirror using the equation f = R/2.

How do you find the focal length of a convex mirror using a convex lens?

Record the position of the index marks in the table against observation 2. Find index correction for distance between pole of convex mirror and tip of the image needle as described. Move object needle upright towards lens by 2 cm to get observation 1. Repeat the experiment.

How do you find the focal length of a mirror?

The focal length of a mirror and a lens can be calculated using 1/do + 1/di = 1/f, where do is the object distance, di is the image distance, and f is the focal length.

How do you find the focal length of a concave lens using a convex lens?

Measure the distance between the lens and the wall (screen). This will be equal to the rough focal length of the mirror. Clamp the holder with concave lens on fixed upright on the I side of the convex lens. Fix this upright at some distance away from the convex lens.

What will be the focal length of concave mirror of radius of curvature of 1m?

The answer is 0.5 m. Explanation: Focal length is the distance between the center of a lens and a convex or concave mirror.

What is the focal length of a convex mirror of radius of curvature 30 cm?

Answer. f = 15 cm .

What is the focal length of a convex mirror of radius of curvature 2 m?

So, f=2R or focal length of a convex mirror is half of its radius of curvature.