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• # IMAT 2013 Q57 Physics and Mathematics

• ### Nicolas Sanchez

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June 21, 2021 at 9:54 am 968 Replies 159150 XP
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In the expressions below: g = gravitational acceleration; h = height; m = mass; R = electrical resistance; t = time; v = velocity; V = voltage.
Which of the following expressions have units of power?

1. (mv^2)/(2t)
2. (v^2)/(R)
3. (mgh)/(t)

*See below for original formatting

A. 1 and 2 only

B. 1 only

C. 2 and 3 only

D. 1 and 3 only

E. 1, 2 and 3

• ### MANISH MULCHANDANI

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July 16, 2021 at 12:10 am 984 Replies 58971 XP
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For this type of question you should know how to convert different formulae to get unit same as unit of Power.

The main (S.I) unit of power is WATT.

For 1, power= work/time that is energy/time. We can use kinetic energy(1/2mv^2) here. When you solve it, you will see that it follows formula of power. Therefore, 1 is correct.

For 2, Power is charge q across potential v in time t. Also, current I=q/t and resistance R=V/I. When you solve it, you will see that it follows formula of power. Therefore, 2 is correct.

For 3, power= work/time that is energy/time. We can use potential energy(mgh) here. When you solve it, you will see that it follows formula of power. Therefore, 3 is correct.

This means all three are correct.

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