JEE Main · 2023 · 01 Feb 2023 · Shift 1 · Elasticity & SHM

A certain pressure '

P

' is applied to 1 litre of water and 2 litre of a liquid separately. Water gets compressed to

0.01%

whereas the liquid gets compressed to

0.03%

. The ratio of Bulk modulus of water to that of the liquid is

\frac{3}{x}

. The value of

x

is
____ .

Answer: 1

Solution

The bulk modulus is

B = \frac{P}{( - Δ V / V )}

for a given applied pressure, so at the same

P

it is inversely proportional to the fractional compression. Water is squeezed by

0.01%

and the liquid by

0.03%

, hence

\frac{B _{water}}{B _{liquid}} = \frac{0.03%}{0.01%} = 3 = \frac{3}{x} .

The value of

x

1

JEE Main · 2023 · 01 Feb 2023 · Shift 1 · Integer answer