Which one of the following pair of quantities has same dimension?

Force and work done

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Momentum and impulse

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Pressure and force

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Surface tension and stress

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Solution

The correct option is B Momentum and impulse
Impulse= Change in momentum
Hence, impulse and momentum both have same dimensions i.e., [MLT−1]

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Torque = Force \times distance

Angular momentum = momentum \times distance

Young's modulus = \frac{s t r e s s}{s t r a i n}, Stress = \frac{Force}{Area}, Strain = \frac{Change in length}{Original length}

Torque = Force \times distance

Angular momentum = momentum \times distance

Young's modulus = \frac{s t r e s s}{s t r a i n}, Stress = \frac{Force}{Area}, Strain = \frac{Change in length}{Original length}

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