1
JEE Advanced 2021 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of 60% and beta-decay with probability of 40%. Initially, the number of Q nuclei is 1000. The number of alpha-decays of Q in the first one hour is
A
50
B
75
C
350
D
525
2
JEE Advanced 2021 Paper 1 Online
Numerical
+2
-0
A projectile is thrown from a point O on the ground at an angle 45$$^\circ$$ from the vertical and with a speed 5$$\sqrt 2$$ m/s. The projectile at the highest point of its trajectory splits into two equal parts. One part falls vertically down to the ground, 0.5 s after the splitting. The other part, t seconds after splitting, falls to the ground at a distance x meters from the point O. The acceleration due to gravity g = 10 m/s2.

The value of t is _____________.
3
JEE Advanced 2021 Paper 1 Online
Numerical
+2
-0
A projectile is thrown from a point O on the ground at an angle 45$$^\circ$$ from the vertical and with a speed 5$$\sqrt 2$$ m/s. The projectile at the highest point of its trajectory splits into two equal parts. One part falls vertically down to the ground, 0.5 s after the splitting. The other part, t seconds after splitting, falls to the ground at a distance x meters from the point O. The acceleration due to gravity g = 10 m/s2.

The value of x is _______________.
4
JEE Advanced 2021 Paper 1 Online
Numerical
+2
-0
In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor becomes q1 $$\mu$$C. Then S is switched to position Q. After a long time, the charge on the capacitor is q2 $$\mu$$C.

The magnitude of q1 is ________________.