The quantity/ quantities that does/do not have mass in its/their dimensions is/are :
(A) specific heat
(B) latent heat
(C) electrical potential difference
(D) electrical resistance
Answer
628.5k+ views
Hint: The dimension of a physical quantity is defined as the powers to which the fundamental quantities are raised in order to represent that quantity. The seven fundamental quantities are enclosed in square brackets to represent its dimension.
Complete step by step solution
The specific heat of a substance (per unit of mass) has dimension $ {M^0}{L^2}{T^{ - 2}}{K^{ - 1}} $ . Therefore, the SI unit J/K/kg is equivalent to metre squared per second squared per kelvin (m2 K−1 s−2). Specific heat is the amount of heat needed to increase the temperature of 1kg mass by an amount 1kelvin. So it has dimension free from mass.
And latent heat is the heat needed to convert the unit mass of an object from one state to another. So it also does not contain mass.
Note:
In total, there are seven primary dimensions. Primary (sometimes called basic) dimensions are defined as independent or fundamental dimensions, from which other dimensions can be obtained. The primary dimensions are: mass, length, time, temperature, electric current, amount of light, and amount of matter.
Complete step by step solution
The specific heat of a substance (per unit of mass) has dimension $ {M^0}{L^2}{T^{ - 2}}{K^{ - 1}} $ . Therefore, the SI unit J/K/kg is equivalent to metre squared per second squared per kelvin (m2 K−1 s−2). Specific heat is the amount of heat needed to increase the temperature of 1kg mass by an amount 1kelvin. So it has dimension free from mass.
And latent heat is the heat needed to convert the unit mass of an object from one state to another. So it also does not contain mass.
Note:
In total, there are seven primary dimensions. Primary (sometimes called basic) dimensions are defined as independent or fundamental dimensions, from which other dimensions can be obtained. The primary dimensions are: mass, length, time, temperature, electric current, amount of light, and amount of matter.
Recently Updated Pages
If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

A solution of glucose in water is labelled as 10 dfracwv class 11 chemistry CBSE

Trending doubts
One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Find the value of the expression given below sin 30circ class 11 maths CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Proton was discovered by A Thomson B Rutherford C Chadwick class 11 chemistry CBSE

Bond order ofO2 O2+ O2 and O22 is in order A O2 langle class 11 chemistry CBSE

