NTA JEE Main 28th July 2022 Shift 2

Given below are two statements:
Statement I: A uniform wire of resistance 80 $$\Omega$$ is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be 5 $$\Omega$$.
Statement II: Two resistances 2R and 3R are connected in parallel in an electric circuit. The value of thermal energy developed in 3R and 2R will be in the ratio 3:2.
In the light of the above statements, choose the most appropriate answer from the options given below

A triangular shaped wire carrying 10 A current is placed in a uniform magnetic field of 0.5 T, as shown in figure. The magnetic force on segment CD is (Given BC = CD = BD = 5 cm).

The magnetic field at the center of current carrying circular loop is $$B_1$$. The magnetic field at a distance of $$\sqrt{3}$$ times radius of the given circular loop from the center on its axis is $$B_2$$. The value of $$\frac{B_1}{B_2}$$ will be

A transformer operating at primary voltage 8 kV and secondary voltage 160 V serves a load of 80 kW. Assuming the transformer to be ideal with purely resistive load and working on unity power factor, the loads in the primary and secondary circuit would be

Sun light falls normally on a surface of area 36 cm$$^2$$ and exerts an average force of $$7.2 \times 10^{-9}$$ N within a time period of 20 minutes. Considering a case of complete absorption, the energy flux of incident light is

The power of a lens (biconvex) is 1.25 m$$^{-1}$$ in particular medium. Refractive index of the lens is 1.5 and radii of curvature are 20 cm and 40 cm respectively. The refractive index of surrounding medium:

Two streams of photons, possessing energies equal to five and ten times the work function of metal are incident on the metal surface successively. The ratio of the maximum velocities of the photoelectron emitted, in the two cases respectively, will be

A radioactive sample decays $$\frac{7}{8}$$ times its original quantity in 15 minutes. The half-life of the sample is

An n.p.n transistor with current gain $$\beta = 100$$ in common emitter configuration is shown in figure. The output voltage of the amplifier will be

A FM Broadcast transmitter, using modulating signal of frequency 20 kHz has a deviation ratio of 10. The Bandwidth required for transmission is: