Home
Class 12
PHYSICS
The scalar quantity among the following ...

The scalar quantity among the following is

A

weight of body

B

temperature gradient

C

electric potential

D

magnetic field strength

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options is a scalar quantity, we will analyze each option based on the definitions of scalar and vector quantities. ### Step-by-Step Solution: 1. **Understanding Scalar and Vector Quantities**: - A scalar quantity has only magnitude and no direction. Examples include temperature, mass, and energy. - A vector quantity has both magnitude and direction. Examples include force, velocity, and weight. 2. **Analyzing Each Option**: - **Option A: Weight**: - Weight is a force acting on an object due to gravity. Since force has both magnitude and direction, weight is a vector quantity. - **Conclusion**: Weight is not a scalar quantity. - **Option B: Temperature Gradient**: - The temperature gradient refers to the rate of change of temperature with respect to distance, expressed as dT/dx. This quantity has a direction (it points from higher to lower temperature) and thus is a vector quantity. - **Conclusion**: Temperature gradient is not a scalar quantity. - **Option C: Electric Potential**: - Electric potential is defined as the work done per unit charge in bringing a charge from infinity to a point in an electric field. It is derived from the dot product of electric field (a vector) and displacement (also a vector), which results in a scalar quantity. - **Conclusion**: Electric potential is a scalar quantity. - **Option D: Magnetic Field Strength**: - Magnetic field strength is a measure of the magnetic force experienced by a unit North Pole at a point in space. It has both magnitude and direction, making it a vector quantity. - **Conclusion**: Magnetic field strength is not a scalar quantity. 3. **Final Answer**: - The only scalar quantity among the given options is **Electric Potential (Option C)**.
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS & VECTORS

    VMC MODULES ENGLISH|Exercise Efficient|50 Videos
  • CAPACITORS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive ) LEVEL 48|1 Videos

Similar Questions

Explore conceptually related problems

The vector quantity among the following is

The base quantity among the following is

The set of physical quantities among the following which is dimensionally different is

In Bohr's model of the hydrogen atom, the pairs of quantities that are quantized among the following is

Pick up the dimensionless quantities among the following: (i) Power of a lens ,(ii) Relative density ,(iii) Average velocity ,(iv) Magnification

The quantity, when measured from different inertial reference frames, remains the same , among the following is

If velocity, force and time are taken as the fundamental quantities, them using dimensional analysis choose the correct dimensional formula for mass among the following. [K is a dimensionless constant]

The pair of scalar quantities having the same dimensions is

Assertion: Distance is a scalar quantity. Reason: Distance is the length of path traversed.

The pair containing a scalar quantity and vector quantity is

VMC MODULES ENGLISH-BASIC MATHEMATICS & VECTORS-Impeccable
  1. For any two vectors barA and barB if barA.barB=|bar AxxbarB|, the ma...

    Text Solution

    |

  2. If vec(A) + vec(B) = vec(C ) and A + B = C, then the angle between vec...

    Text Solution

    |

  3. Three equal masses of 2kg each are placed at the vertices of an equila...

    Text Solution

    |

  4. The value of lambda for which the two vectors vec(a) = 5hat(i) + lambd...

    Text Solution

    |

  5. At what angl must the two forces (x+y) and (x-y) act so that the resul...

    Text Solution

    |

  6. Find the torque of a force F=-3hat(i)+2hat(j)+hat(k) acting at the po...

    Text Solution

    |

  7. A variable force, given by the 2-dimensional vector vecF = (3x^(2)hati...

    Text Solution

    |

  8. A motorboat covers a given distance in 6h moving downstream on a river...

    Text Solution

    |

  9. If vector hat(i) - 3hat(j) + 5hat(k) and hat(i) - 3 hat(j) - a hat(k) ...

    Text Solution

    |

  10. The component of vector A= 2hat(i)+3hat(j) along the vector hat(i)+hat...

    Text Solution

    |

  11. Which of the following is correct relation between an arbitrary vector...

    Text Solution

    |

  12. If vector hat(i) - 3hat(j) + 5hat(k) and hat(i) - 3 hat(j) - a hat(k) ...

    Text Solution

    |

  13. If vec(A) = hat(i) + hat(j) + hat(k) and B = -hat(i) - hat(j) - hat(k)...

    Text Solution

    |

  14. A certain vector in the xy plane has an x-component of 12 m and a y-co...

    Text Solution

    |

  15. The X and Y components of a force F acting at 30^(@) to x-axis are res...

    Text Solution

    |

  16. Two vectors are given by vec(A) = hat(i) + 2hat(j) + 2hat(k) and vec(B...

    Text Solution

    |

  17. Which of the following pairs of vectors are parallel ?

    Text Solution

    |

  18. Which of the following is not vector quantity ?

    Text Solution

    |

  19. The scalar quantity among the following is

    Text Solution

    |

  20. The component of a vector r along X-axis will have maximum value if

    Text Solution

    |