1
JEE Main 2022 (Online) 29th June Evening Shift
Numerical
+4
-1
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The moment of inertia of a uniform thin rod about a perpendicular axis passing through one end is I1. The same rod is bent into a ring and its moment of inertia about a diameter is I2. If $${{{I_1}} \over {{I_2}}}$$ is $${{x{\pi ^2}} \over 3}$$, then the value of x will be ____________.

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2
JEE Main 2022 (Online) 29th June Evening Shift
Numerical
+4
-1
Out of Syllabus
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The half life of a radioactive substance is 5 years. After x years a given sample of the radioactive substance gets reduced to 6.25% of its initial value. The value of x is ____________.

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3
JEE Main 2022 (Online) 29th June Evening Shift
Numerical
+4
-1
Change Language

In a double slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the plane of slits. If the screen is moved by 5 $$\times$$ 10$$-$$2 m towards the slits, the change in fringe width is 3 $$\times$$ 10$$-$$3 cm. If the distance between the slits is 1 mm, then the wavelength of the light will be ____________ nm.

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4
JEE Main 2022 (Online) 29th June Evening Shift
Numerical
+4
-1
Change Language

An inductor of 0.5 mH, a capacitor of 200 $$\mu$$F and a resistor of 2 $$\Omega$$ are connected in series with a 220 V ac source. If the current is in phase with the emf, the frequency of ac source will be ____________ $$\times$$ 102 Hz.

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