Starting at time t = 0 from the origin with speed 1 ms-1, a particle follows a two-dimensional trajectory in the x-y plane so that its coordinates are related by the equation $$y = {{{x^2}} \over 2}$$. The x and y components of its acceleration are denoted by ax and ay, respectively. Then
A
ax = 1 ms-2 implies that when the particle is at the origin, ay = 1 ms-2
B
ax = 0 implies ay = 1 ms-2 at all times
C
at t = 0, the particle's velocity points in the x-direction
D
ax = 0 implies that at t = 1s, the angle between the particle's velocity and the x axis is 45$$^\circ$$
2
JEE Advanced 2020 Paper 2 Offline
Numerical
+4
-0
A spherical bubble inside water has radius R. Take the pressure inside the bubble and the water pressure to be p0. The bubble now gets compressed radially in an adiabatic manner so that its radius becomes (R $$-$$ a). For a << R the magnitude of the work done in the process in given by (4$$\pi$$p0Ra2)X, where X is a constant and $$\gamma$$ = Cp/Cv = 41/30. The value of X is ________.
Your input ____
3
JEE Advanced 2020 Paper 2 Offline
Numerical
+4
-0
In the balanced condition, the values of the resistances of the four arms of a Wheatstone bridge are shown in the figure below. The resistance R3 has temperature coefficient 0.0004$$^\circ$$C-1. If the temperature of R3 is increased by 100$$^\circ$$C, the voltage developed between S and T will be ________ volt.
Your input ____
4
JEE Advanced 2020 Paper 2 Offline
Numerical
+4
-0
Two capacitors with capacitance values C1 = 2000 $$ \pm $$ 10 pF and C2 = 3000 $$ \pm $$ 15 pF are connected in series. The voltage applied across this combination is V = 5.00 $$ \pm $$ 0.02 V. The percentage error in the calculation of the energy stored in this combination of capacitors is ________.
