Which of the following pairs of quantities have same dimensional formula of which one is a vector and other is scalar ?

Work and energy

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Torque and work

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Impulse and momentum

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Power and pressure

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Solution

The correct option is C Torque and work
Work is equal to dot product of force and distance travelled = $\to F . \to r$ and hence is a scalar. Torque is equal to $\to r \times \to F$ and hence is a vector, though having same dimensions.

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Which of the following pairs of quantities have same dimensional formula of which one is a vector and other is scalar ?

The correct option is C Torque and workWork is equal to dot product of force and distance travelled = →F.→r and hence is a scalar. Torque is equal to →r×→F and hence is a vector, though having same dimensions.

The correct option is C Torque and work
Work is equal to dot product of force and distance travelled = $\to F . \to r$ and hence is a scalar. Torque is equal to $\to r \times \to F$ and hence is a vector, though having same dimensions.