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Two thin lenses of power + 6 D and – 2 D are in contact. What is the focal length of the combination?
Here P = P₁ + P2 = (-4 D) + (2 D) = -2D Hence, f = 1/p = - 1/2 m = -50 cm. For more visit here: https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-9/
Here P = P₁ + P2 = (-4 D) + (2 D) = -2D
Hence, f = 1/p = – 1/2 m = -50 cm.
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What is a couple? What effect does it have on a body? Show that the moment of couple is same irrespective of the point of rotation of a body.
A couple is the equal and opposite forces applied at different points on an object. These forces produce a rotational effect without causing any translational movement. The forces are in opposite directions but act along parallel lines, and thus result in torque, which produces angular accelerationRead more
A couple is the equal and opposite forces applied at different points on an object. These forces produce a rotational effect without causing any translational movement. The forces are in opposite directions but act along parallel lines, and thus result in torque, which produces angular acceleration in the body. The defining feature of a couple is that forces are equal in magnitude and opposite in direction separated by a fixed distance known as the arm of the couple.
The main effect of a couple on an object is to make it rotate about an axis. Since the forces cancel each other out, the net force acting on the object is zero, so there can be no linear motion. Instead, the couple creates torque, which causes rotation.
To show that the moment of a couple is independent of the axis of rotation selected, note that the torque of a couple does not depend on the choice of axes of rotation within the body. This is because the distance between the lines of action of the two forces is the same, and the forces are equal and opposite. The couple’s moment is thus uniform all over the body, thereby pointing out the inbuilt stability of its rotational effect.
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See lessWhat is meant by dimensional analysis?
Dimensional analysis is a method to check the correctness of equations, convert units, or derive relations among physical quantities. For more please visit here: https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-1/
Dimensional analysis is a method to check the correctness of equations, convert units, or derive relations among physical quantities.
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Define accuracy and precision in measurement.
Accuracy refers to how close a measurement is to the true value. Precision refers to the consistency in repeated measurements. For more please visit here: https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-1/
Accuracy refers to how close a measurement is to the true value.
Precision refers to the consistency in repeated measurements.
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State and explain the principle of moments of rotational equilibrium.
The principle of moments of rotational equilibrium states that for an object to be in a state of rotational equilibrium, the sum of the clockwise moments acting around any axis must equal the sum of the counterclockwise moments around the same axis. In other words, this principle simply states thatRead more
The principle of moments of rotational equilibrium states that for an object to be in a state of rotational equilibrium, the sum of the clockwise moments acting around any axis must equal the sum of the counterclockwise moments around the same axis. In other words, this principle simply states that for an object to remain at rest or to rotate at a constant angular velocity, the torques acting on it must be balanced.
This force applied to the body creates a moment, or torque, in the body due to rotation. The magnitude of each moment will depend on the product of the force applied and the distance of the line of action of that force from the pivot point. If these are not balanced then the object is going to begin rotating.
In rotational equilibrium, all the moments have to cancel out, leading to the total torque acting on the object to be zero. That is why this principle is very important in many applications, including engineering and construction practice, which requires stabilization of structures. For example, a seesaw stays even because both sides of the weights of people placed on it create the same amount of moments. Whenever the side becomes heavy or is shifted further from the pivot, then the seesaw will tip as a sign that equilibrium is lost. Thus, the principle of moments is vital in understanding how balance and stability are achieved in rotational systems.
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