1

JEE Main 2023 (Online) 1st February Evening Shift

MCQ (Single Correct Answer)

+4

-1

If the velocity of light $$\mathrm{c}$$, universal gravitational constant $$\mathrm{G}$$ and Planck's constant $$\mathrm{h}$$ are chosen as fundamental quantities. The dimensions of mass in the new system is :

2

JEE Main 2023 (Online) 31st January Evening Shift

MCQ (Single Correct Answer)

+4

-1

Match List

Choose the correct answer from the options given below:

**I**with List**II**LIST I | LIST II | ||
---|---|---|---|

A. | Angular momentum | I. | $\left[\mathrm{ML}^{2} \mathrm{~T}^{-2}\right]$ |

B. | Torque | II. | $\left[\mathrm{ML}^{-2} \mathrm{~T}^{-2}\right]$ |

C. | Stress | III | $\left[\mathrm{ML}^{2} \mathrm{~T}^{-1}\right]$ |

D. | Pressure gradient | IV. | $\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right]$ |

Choose the correct answer from the options given below:

3

JEE Main 2023 (Online) 30th January Evening Shift

MCQ (Single Correct Answer)

+4

-1

Match List **I** with List **II**:

List I | List II | ||
---|---|---|---|

A. | Torque | I. | $\mathrm{kg} \mathrm{m}^{-1} \mathrm{~s}^{-2}$ |

B. | Energy density | II. | $\mathrm{kg} \,\mathrm{ms}^{-1}$ |

C. | Pressure gradient | III. | $\mathrm{kg}\, \mathrm{m}^{-2} \mathrm{~s}^{-2}$ |

D. | Impulse | IV. | $\mathrm{kg} \,\mathrm{m}^{2} \mathrm{~s}^{-2}$ |

Choose the correct answer from the options given below:

4

JEE Main 2023 (Online) 29th January Evening Shift

MCQ (Single Correct Answer)

+4

-1

The equation of a circle is given by $$x^2+y^2=a^2$$, where a is the radius. If the equation is modified to change the origin other than (0, 0), then find out the correct dimensions of A and B in a new equation : $${(x - At)^2} + {\left( {y - {t \over B}} \right)^2} = {a^2}$$. The dimensions of t is given as $$[\mathrm{T^{-1}]}$$.

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