1
JEE Main 2021 (Online) 26th August Evening Shift
Numerical
+4
-1
If the maximum value of accelerating potential provided by a ratio frequency oscillator is 12 kV. The number of revolution made by a proton in a cyclotron to achieve one sixth of the speed of light is ...............

[mp = 1.67 $$\times$$ 10$$-$$27 kg, e = 1.6 $$\times$$ 10$$-$$19C, Speed of light = 3 $$\times$$ 108 m/s]
2
JEE Main 2021 (Online) 26th August Evening Shift
Numerical
+4
-1
For the given circuit, the power across Zener diode is .............. mW.

3
JEE Main 2021 (Online) 25th July Evening Shift
Numerical
+4
-1
In a semiconductor, the number density of intrinsic charge carries at 27$$^\circ$$C is 1.5 $$\times$$ 1016/m3. If the semiconductor is doped with impurity atom, the hole density increases to 4.5 $$\times$$ 1022/m3. The electron density in the doped semiconductor is ___________ $$\times$$ 109/m3.
4
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
In a given circuit diagram, a 5 V zener diode along with a series resistance is connected across a 50 V power supply. The minimum value of the resistance required, if the maximum zener current is 90 mA will be __________ $$\Omega$$.

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