1
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
Assume that the displacement(s) of air is proportional to the pressure difference ($$\Delta$$p) created by a sound wave. Displacement (s) further depends on the speed of sound (v), density of air ($$\rho$$) and the frequency (f). If $$\Delta$$p ~ 10 Pa, v ~ 300 m/s, $$\rho$$ ~ 1 kg/m3 and f ~ 1000 Hz, then s will be of the order of (take the multiplicative constant to be 1) :
A
1 mm
B
$${3 \over {100}}$$ mm
C
10 mm
D
$${1 \over {10}}$$ mm
2
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
A cube of metal is subjected to a hydrostatic pressure of 4 GPa. The percentage change in the length of the side of the cube is close to :
(Given bulk modulus of metal, B = 8 $$\times$$ 1010 Pa)
A
0.6
B
20
C
1.67
D
5
3
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the base of both vessels is S but the height of liquid in one vessel is x1 and in the other, x2 . When both cylinders are connected through a pipe of negligible volume very close to the bottom, the liquid flows from one vessel to the other until it comes to equilibrium at a new height. The change in energy of the system in the process is:
A
gdS(x2 + x1)2
B
gdS$$\left( {x_2^2 + x_1^2} \right)$$
C
$${1 \over 4}gdS{\left( {{x_2} - {x_1}} \right)^2}$$
D
$${3 \over 4}gdS{\left( {{x_2} - {x_1}} \right)^2}$$
4
JEE Main 2020 (Online) 4th September Morning Slot
+4
-1
A air bubble of radius 1 cm in water has an upward acceleration 9.8 cm s–2. The density of water is 1 gm cm–3 and water offers negligible drag force on the bubble. The mass of the bubble is (g = 980 cm/s2).
A
1.52 gm
B
4.51 gm
C
3.15 gm
D
4.15 gm
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