1
JEE Main 2023 (Online) 30th January Morning Shift
+4
-1 Choose the correct relationship between Poisson ratio $$(\sigma)$$, bulk modulus (K) and modulus of rigidity $$(\eta)$$ of a given solid object :

A
$$\sigma=\frac{3 K+2 \eta}{6 K+2 \eta}$$
B
$$\sigma=\frac{3 K-2 \eta}{6 K+2 \eta}$$
C
$$\sigma=\frac{6 K+2 \eta}{3 K-2 \eta}$$
D
$$\sigma=\frac{6 K-2 \eta}{3 K-2 \eta}$$
2
JEE Main 2023 (Online) 29th January Evening Shift
+4
-1 A fully loaded boeing aircraft has a mass of $$5.4\times10^5$$ kg. Its total wing area is 500 m$$^2$$. It is in level flight with a speed of 1080 km/h. If the density of air $$\rho$$ is 1.2 kg m$$^{-3}$$, the fractional increase in the speed of the air on the upper surface of the wing relative to the lower surface in percentage will be. ($$\mathrm{g=10~m/s^2}$$)

A
16
B
8
C
6
D
10
3
JEE Main 2023 (Online) 29th January Morning Shift
+4
-1

Surface tension of a soap bubble is $$2.0 \times 10^{-2} \mathrm{Nm}^{-1}$$. Work done to increase the radius of soap bubble from $$3.5 \mathrm{~cm}$$ to $$7 \mathrm{~cm}$$ will be:

Take $$\left[\pi=\frac{22}{7}\right]$$

A
$$18 .48 \times 10^{-4} \mathrm{~J}$$
B
$$5.76 \times 10^{-4} \mathrm{~J}$$
C
$$0.72 \times 10^{-4} \mathrm{~J}$$
D
$$9.24 \times 10^{-4} \mathrm{~J}$$
4
JEE Main 2023 (Online) 29th January Morning Shift
+4
-1

A bicycle tyre is filled with air having pressure of $$270 ~\mathrm{kPa}$$ at $$27^{\circ} \mathrm{C}$$. The approximate pressure of the air in the tyre when the temperature increases to $$36^{\circ} \mathrm{C}$$ is

A
262 kPa
B
360 kPa
C
270 kPa
D
278 kPa
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