Question

The heat (Q) supplied to a substance of mass m at its melting point is given by Q=ms where the s is the latent heat of the substance
The power of M in the dimensional formula for S is​

Answer 1

The power of m is 0

Explanation:

Given:

Expression for heat supplied by a substance of mass m at is melting point

Q = ms

where s is the latent heat

To find out:

The power of m in the dimensional formula of s

Solution:

We know that

The dimensional formula of Q is [ML²T⁻²]

And the dimensional formula of m is [M]

Therefore,

Dimensional formula of s

= Dimensional formula of Q/Dimensional formula of M

= [ML²T⁻²]/[M]

= [L²T⁻²]

= [M⁰L²T⁻²]

The power of m = 0

Hope this answer is helpful.

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Q: Derive the dimensional formula for latent heat.

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