Home
Class 12
PHYSICS
Consider following statement :- (A) an...

Consider following statement `:-`
`(A)` any physical quantity may have more one unit.
`(B)` Any physical quantity have only one dimensional formula
`(C )` More than one physical quantities may have same dimension.
`(D)` We can add & subtract only those expression having same dimension.
Number of correct statements is `:-`

A

`4`

B

`3`

C

`2`

D

`1`

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements provided in the question, we will evaluate each statement one by one to determine their correctness. ### Step-by-Step Solution: 1. **Statement (A): Any physical quantity may have more than one unit.** - This statement is **true**. A physical quantity can indeed have multiple units. For example, length can be measured in meters, centimeters, kilometers, etc. Thus, this statement is **correct**. 2. **Statement (B): Any physical quantity has only one dimensional formula.** - This statement is **true**. Each physical quantity has a unique dimensional formula that expresses it in terms of the fundamental dimensions (mass, length, time, etc.). For example, the dimensional formula for force is [M^1 L^1 T^-2]. Therefore, this statement is also **correct**. 3. **Statement (C): More than one physical quantity may have the same dimension.** - This statement is **true**. Different physical quantities can share the same dimensions. For instance, both work and energy have the same dimension of [M^1 L^2 T^-2]. Therefore, this statement is **correct**. 4. **Statement (D): We can add and subtract only those expressions having the same dimension.** - This statement is **true**. In physics, we can only add or subtract quantities that have the same dimensions. For example, we cannot add length to time. Therefore, this statement is also **correct**. ### Conclusion: - All four statements (A, B, C, D) have been evaluated. - The number of correct statements is **4**. ### Final Answer: The number of correct statements is **4**.

To analyze the statements provided in the question, we will evaluate each statement one by one to determine their correctness. ### Step-by-Step Solution: 1. **Statement (A): Any physical quantity may have more than one unit.** - This statement is **true**. A physical quantity can indeed have multiple units. For example, length can be measured in meters, centimeters, kilometers, etc. Thus, this statement is **correct**. 2. **Statement (B): Any physical quantity has only one dimensional formula.** ...
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Name three physical quantities having the same dimensions.

The pair of physical quantities having the same dimensions is

The physical quantities not having same dimensions are

The physical quantities not having same dimensions are

The pair (s) of physical quantities that have same dimension, is (are) :

The pairs of physical quantities that have the same dimensions is (are):

Which of the following physical quantities have into same dimensions ?

A pair of physical quantities having same dimensional formula is

The pairs(s) of physical quantities that have the same dimensions is (are)

The pair of physical quantities having the same dimensional formula

ALLEN-TEST PAPER-Exercise (Physics)
  1. A rocket rises vertically up from the surface of earth so that it is d...

    Text Solution

    |

  2. Find the rate of change of radius of a sphere when its radius is 4 cm ...

    Text Solution

    |

  3. Consider following statement :- (A) any physical quantity may have m...

    Text Solution

    |

  4. A particle is moving on X-axis. Its velocity time graph is given in th...

    Text Solution

    |

  5. In the given arrangement shown in figure, surface is frictionless, str...

    Text Solution

    |

  6. The position of a particle moving in space varies with time t accordin...

    Text Solution

    |

  7. V(x) is the velocity of a particle of a particle moving along the x-ax...

    Text Solution

    |

  8. At t=0 two trucks A and B were at same point on the road . At t=t(1), ...

    Text Solution

    |

  9. A ball is thrown from the top of 36m high tower with velocity 5m//ss a...

    Text Solution

    |

  10. A toy car can deliver a constant power of 20W. The resistive force on ...

    Text Solution

    |

  11. If momentum (P), area (A) and time (T) are taken to be the fundamental...

    Text Solution

    |

  12. In ancient time, deffernt system of units was following in which unit ...

    Text Solution

    |

  13. A rectangular farm house has a 1km difference between its sides. Two f...

    Text Solution

    |

  14. The graph shown the variation with times t of the velocity v of an obj...

    Text Solution

    |

  15. A ball is released from point A. During its motion ball takes two seco...

    Text Solution

    |

  16. Velocity v//s Position graph of a particle performing curvilinear moti...

    Text Solution

    |

  17. Two identical blocks A and B each of weight 20N are placed on a fricti...

    Text Solution

    |

  18. Figure shows an At wood machine in which m(1)+m(2)=M is constant. Now ...

    Text Solution

    |

  19. As shown in the figure, Tarzan travels from one place to another by sw...

    Text Solution

    |

  20. Two equal rods joined at one end are kept on a smooth surface as shown...

    Text Solution

    |