1
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is 1/16 th of the material of the bob. If the bob is inside liquid all the time, its period of oscillation in this liquid is :
A
$$2T\sqrt {{1 \over {10}}}$$
B
$$4T\sqrt {{1 \over {14}}}$$
C
$$4T\sqrt {{1 \over {15}}}$$
D
$$2T\sqrt {{1 \over {14}}}$$
2
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
If 'M' is the mass of water that rises in a capillary tube of radius 'r', then mass of water which will rise in a capillary tube of radius '2r' is :
A
M
B
4M
C
M/2
D
2M
3
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
Young's moduli of two wires A and B are in the ratio 7 : 4. Wire A is 2 m long and has radius R. Wire B is 1.5 m long and has radius 2 mm. If the two wires stretch by the same length for a given load, then the value of R is close to :-
A
1.7 mm
B
1.9 mm
C
1.3 mm
D
1.5 mm
4
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
A boy's catapult is made of rubber cord which is 42 cm long, with 6 mm diameter of cross-section and of negligible mass. The boy keeps a stone weighing 0.02kg on it and stretches the cord by 20 cm by applying a constant force. When released, the stone flies off with a velocity of 20 ms–1. Neglect the change in the area of cross-section of the cord while stretched. The Young's modulus of rubber is closest to:
A
104 Nm–2
B
106 Nm–2
C
108 Nm–2
D
103 Nm–2
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