16. A wire has a resistance of 16 ohms. It is melted and drawn into a wire of half of its original length. What is the resistance of the new wire ? / एक तार का प्रतिरोध 16 ओम है। इसे पिघलाकर इसकी मूल लंबाई के आधे तार में खींचा जाता है। नए तार का प्रतिरोध क्या है?
4 ohms / ओम
32 ohms / ओम
16 ohms / ओम
8 ohms / ओम
Answer / उत्तर -4 ohms / ओम
explanation / स्पष्टीकरण :-
let the initial length of d wire be "l "
n d area of cross section be "A"
it's resistance = 16ohm (given)
so 16 = l/ A------(1)
after melting
length of wire =l/2
area of cross = 2A
let d resistance offered be R'
so, R'= l/2 / 2A
R' = l/4A
R'= 1/4(l/A)
R'=1/4 (16) [ by eqn 1]
R'=4 ohm....
Resistance of d new wire = 4 ohm
explanation / स्पष्टीकरण :-
let the initial length of d wire be "l "
n d area of cross section be "A"
it's resistance = 16ohm (given)
so 16 = l/ A------(1)
after melting
length of wire =l/2
area of cross = 2A
let d resistance offered be R'
so, R'= l/2 / 2A
R' = l/4A
R'= 1/4(l/A)
R'=1/4 (16) [ by eqn 1]
R'=4 ohm....
Resistance of d new wire = 4 ohm
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