Define torque. Give its units.

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Jasmine Grover

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Torque is a measure of the ability of a force to rotate an object around an axis or a pivot. It is also known as the moment of force. Mathematically, torque (τ) is defined as the cross product of the force (F) and the distance (r) from the axis of rotation to the point of application of the force:

τ = r × F

where × denotes the vector cross product.

Torque

The units of torque depends on the units used for force and distance.

  • In the International System of Units (SI), the unit of force is the newton (N) and the unit of distance is the meter (m). Therefore, the unit of torque is the newton-meter (N⋅m).
  • In other systems of units, such as the British engineering system, the unit of force is the pound (lb) and the unit of distance is the foot (ft), so the unit of torque is the pound-foot (lb-ft).
  • The C.G.S unit of torque is dyne-cm.

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CBSE CLASS XII Related Questions

  • 1.
    Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

      • attract with a force \( \frac{F}{2} \)
      • repel with a force \( \frac{F}{2} \)
      • repel with a force \( F \)
      • attract with a force \( F \)

    • 2.
      A circular coil of 100 turns and radius \( \left(\frac{10}{\sqrt{\pi}}\right) \, \text{cm}\) carrying current of \( 5.0 \, \text{A} \) is suspended vertically in a uniform horizontal magnetic field of \( 2.0 \, \text{T} \). The field makes an angle \( 30^\circ \) with the normal to the coil. Calculate:
      the magnetic dipole moment of the coil, and
      the magnitude of the counter torque that must be applied to prevent the coil from turning.


        • 3.
          Assertion : In Young’s double-slit experiment, the fringe width for dark and bright fringes is the same. Reason (R): Fringe width is given by \( \beta = \frac{\lambda D}{d} \), where symbols have their usual meanings.

            • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
            • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
            • Assertion (A) is true, but Reason (R) is false.
            • Both Assertion (A) and Reason (R) are false.

          • 4.
            The energy of an electron in an orbit in hydrogen atom is \( -3.4 \, \text{eV} \). Its angular momentum in the orbit will be:

              • \( \dfrac{3h}{2\pi} \)
              • \( \dfrac{2h}{\pi} \)
              • \( \dfrac{h}{\pi} \)
              • \( \dfrac{h}{2\pi} \)

            • 5.
              Assertion : Photoelectric effect is a spontaneous phenomenon. Reason (R): According to the wave picture of radiation, an electron would take hours/days to absorb sufficient energy to overcome the work function and come out from a metal surface.

                • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
                • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
                • Assertion (A) is true, but Reason (R) is false.
                • Both Assertion (A) and Reason (R) are false.

              • 6.
                Assertion : Induced emf produced in a coil will be more when the magnetic flux linked with the coil is more. Reason (R): Induced emf produced is directly proportional to the magnetic flux.

                  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
                  • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
                  • Assertion (A) is true, but Reason (R) is false.
                  • Both Assertion (A) and Reason (R) are false.
                CBSE CLASS XII Previous Year Papers

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