SSC CGL Tier II 12 Jan 2017 Paper 1

Question : 55 of 100

Marks: +1, -0

The radius of a wire is decreased to one-third. If volume remains the same, length will increase by

Solution:

(4) Volume of wire

( { V } _ { 1 } ) = \πr ^ { 2 } h

Case II,
Volume of wire

( { V } _ { 2 } ) = \π(r/3) ^ { 2 } h_1

∵

{ V } _ { 1 } = { V } _ { 2 }

∴ \π r ^ { 2 } h = { \π r ^ { 2 } h _ { 1 } }/ { 9 }

⇒h _ { 1 } = 9 h

Go to Question:

Prev Question

Next Question