Joule/ coulomb is the same as [ ]a) 1 - watt
b) 1 - voltc) 1- ampere
d) 1 - ohm
Answers
Answer:
volt
Explanation:
the unit of potential difference is J/C or volt.
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answer : option (b) 1 - volt.
explanation : let's find the dimension of Joule/coulomb at first.
we know, dimension of Joule = [ML²T-²]
dimension of coulomb = [AT]
so, dimension of J/C = [ML²T-²]/[AT]
= [ML²T-³A-¹] .......(1)
now, find the dimension of each option.
option (a) watt , we know, watt is unit of power .so, dimension of watt = [ML²T-³]
option (b) volt, we know , volt is unit of potential difference. so, dimension of volt = dimension of energy/dimension of charge [ as we know, formula, qV = workdone/energy ]
= Joule/coulomb = [ML²T-³A-¹], this is the correct choice. [ see eq. (1) ]
option (c) ampere, it is the unit of current . ampere can't be same as J/C.
option (d) ohm, it is the unit of resistance. it is also not possible.
hence, option (b) 1 - volt, is same as J/C