# GATE Papers >> Civil >> 2015 >> Question No 32

Question No. 32

The penetration value of bitumen sample tested at 25oC is 80. When this sample is heated to 60oC and tested again, the needle of the penetration test apparatus penetrates the bitumen sample by d mm. The value of d CANNOT be less than _____ mm.

Solution of Question No 32 of GATE 2015 Civil Paper

Relationship between penetration & temperature is given by

P = AT + K

Where P = penetration

A = temperature susceptibility

K = constant

However, value of A value of considerably between 0.0015 to 0.006

Hence for simplicity, we will simply take d not be less then

$\frac{80}{10}$ = 8mm

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