Today, we are going to learn Planck constant TSA unit and dimensional formula. That's. We can take it as a Planck constant. Okay. Today.

We are going to learn how to find a newton dimensional formula for Planck constant as we know energy is equal to Planck constant times of frequency. Okay. Now Planck constant is a question.

Mark, Planck constant is equal to energy by frequency. Okay. So energy unit, which one we can take it as a joule.

Okay, frequency unit, which one we are going to take it as a one by second. So joule one by second, okay, so denominator. Directly will come into the numerator, so we'll get this joule seconds. Okay. So which one is, uh, one of the unit of Planck constant. Okay, the another unit. Okay, joules.

We can write as the force energy. Energy is equal to newton, uh force into displacement. Okay, which one joule is equal to one newton into one meter. One joule is one newton into meter. Okay.

So instead of writing joules, you can write as the Planck constant is equal to blank constant. Unit is equal to it is newton meter. Second. This is the another unit of the Planck answer. It is one of the unit. Okay, the next thing? Okay, newton we can take.

It forces unit force is equal to mass into acceleration. So which one we are going to take it as a kg meter, uh by second, the same unit, second, square, kg, meter second, minus two. So we can take it as a newton as a kg meter. Second, minus 2 into meter. Second. Okay, meter will get as a meter square.

So kg meter square. Second, minus 2 here, plus 1. Okay. Second, plus one, so we'll get kg meter square.

Second, minus one. Okay. Now, the dimensional formula. What about the dimensional formula for the Planck constant? Okay? So mass, we can take it as uh capital, m, length.

We can take it as capital l time. We can take it as a capital, t, k, g, mid-square. Second, minus one it's, a final unit, s, unit of the Planck constant. Okay. So this is a yes. A unit. Also, we can tell final solution.

Okay. So kg, we can take it as an m length. We can take it as l time. We can take it as a t. So. Power of 1 power of 2 is minus 2. It is a sorry.

Minus 1. It is a four dimensional formula for plank constant. And it is a unit of plank constant.

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Dated : 18-Apr-2022

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