Which of the following statements is true?

  • A
    The range for weak nuclear force is shortest among all four forces
  • B
    The range for electromagnetic force is smaller than that for gravitation force
  • C
    The relative strength of gravitational force is higher than that for weak nuclear force
  • D
    The relative strength for weak nuclear force is larger than that for strong nuclear force

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Find the rate of change of the total surface area of a cylinder of radius $r$ and height $h$,when the radius varies with respect to time $t$.

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The unit of "impulse per unit area" is the same as that of

Match List $I$ with List $II$ :
List $I$ (Physical Quantity) List $II$ (Dimensional Formula)
$(A)$ Pressure gradient $(I)$ $[M^0 L^2 T^{-2}]$
$(B)$ Energy density $(II)$ $[M^1 L^{-1} T^{-2}]$
$(C)$ Electric Field $(III)$ $[M^1 L^{-2} T^{-2}]$
$(D)$ Latent heat $(IV)$ $[M^1 L^1 T^{-3} A^{-1}]$

Choose the correct answer from the options given below:

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