NTA JEE Mains 29th Jan 2024 Shift 1

Match List I with List II

Choose the correct answer from the options given below

A capacitor of capacitance $$100 \mu F$$ is charged to a potential of $$12$$ V and connected to a $$6.4$$ mH inductor to produce oscillations. The maximum current in the circuit would be :

The electric current through a wire varies with time as $$I = I_0 + \beta t$$, where $$I_0 = 20$$ A and $$\beta = 3$$ A s$$^{-1}$$. The amount of electric charge crossed through a section of the wire in $$20$$ s is:

A galvanometer having coil resistance $$10 \Omega$$ shows a full scale deflection for a current of $$3$$ mA. For it to measure a current of $$8$$ A, the value of the shunt should be:

The deflection in moving coil galvanometer falls from $$25$$ divisions to $$5$$ division when a shunt of $$24 \Omega$$ is applied. The resistance of galvanometer coil will be:

A convex mirror of radius of curvature $$30$$ cm forms an image that is half the size of the object. The object distance is :

A biconvex lens of refractive index $$1.5$$ has a focal length of $$20$$ cm in air. Its focal length when immersed in a liquid of refractive index $$1.6$$ will be:

The de-Broglie wavelength of an electron is the same as that of a photon. If velocity of electron is $$25\%$$ of the velocity of light, then the ratio of K.E. of electron and K.E. of photon will be:

The explosive in a Hydrogen bomb is a mixture of $$_1H^2$$, $$_1H^3$$ and $$_3Li^6$$ in some condensed form. The chain reaction is given by $$_3Li^6 + _0n^1 \rightarrow _2He^4 + _1H^3$$; $$_1H^2 + _1H^3 \rightarrow _2He^4 + _0n^1$$
During the explosion the energy released is approximately [Given: $$M(Li) = 6.01690$$ amu, $$M(_1H^2) = 2.01471$$ amu, $$M(_2He^4) = 4.00388$$ amu and $$1$$ amu $$= 931.5$$ MeV]

In the given circuit, the breakdown voltage of the Zener diode is $$3.0$$ V. What is the value of $$I_z$$?