A wire of length L and radius r is clamped rigidly at one end. When the other end of the wire is pulled by a force F, its length increases by 5 ~cm. Another wire of the same material of length 4 L and radius 4 r is pulled by a force 4 F under same conditions. The increase in length of this wire is _ _ _ _ _ _ _ _ _ cm.

Properties of Solids and Liquids: JEE Main 2022 Physics question

JEE Main 2022 · 25 Jul, Morning shift · Q67

JEE Main 202225 Jul, Morning shiftPhysicsHardProperties of Solids and Liquids184× since 2002

A wire of length

\mathrm{L}

and radius

\mathrm{r}

is clamped rigidly at one end. When the other end of the wire is pulled by a force

\mathrm{F}

, its length increases by

5 \mathrm{~cm}

. Another wire of the same material of length

4 \mathrm{L}

and radius

4 \mathrm{r}

is pulled by a force

4 \mathrm{F}

under same conditions. The increase in length of this wire is __________________

\mathrm{cm}

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Properties of Solids and Liquids Question with Answer (25 Jul Morning shift, Q67) | JEE Arc

JEE Main 2022 · 25 Jul, Morning shift · Q67

JEE Main 202225 Jul, Morning shiftPhysicsHardProperties of Solids and Liquids184× since 2002

A wire of length

\mathrm{L}

and radius

\mathrm{r}

is clamped rigidly at one end. When the other end of the wire is pulled by a force

\mathrm{F}

, its length increases by

5 \mathrm{~cm}

. Another wire of the same material of length

4 \mathrm{L}

and radius

4 \mathrm{r}

is pulled by a force

4 \mathrm{F}

under same conditions. The increase in length of this wire is __________________

\mathrm{cm}

Your answerType your answer. Integers and decimals are accepted.