NTA JEE Main 11th January 2019 Shift 1

A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Considering only translational and rotational modes, the total internal energy of the system is

A particle undergoing simple harmonic motion has time dependent displacement given by $$x(t) = A \sin\frac{\pi t}{90}$$. The ratio of kinetic to potential energy of this particle at $$t = 210$$ s will be

Equation of travelling wave on a stretched string of linear density 5 g/m is $$y = 0.03 \sin(450t - 9x)$$ where distance and time are measured in SI units. The tension in the string is:

The given graph shows variation (with distance r from centre) of:

Three charges $$Q$$, $$+q$$ and $$+q$$ are placed at the vertices of a right-angle isosceles triangle as shown below. The net electrostatic energy of the configuration is zero, if the value of Q is:

In the figure shown below, the charge on the left plate of the $$10\mu F$$ capacitor is $$-30\mu C$$. The charge on the right plate of the $$6\mu F$$ capacitor is:

Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistance are now connected in parallel combination to the same battery, the electric power consumed will be:

In a Wheatstone bridge (see fig.), Resistances P and Q are approximately equal. When $$R = 400\Omega$$, the bridge is balanced. On interchanging P and Q, the value of R, for balance, is $$405\Omega$$. The value of Y is close to

In an experiment, electrons are accelerated, from rest, by applying a voltage of 500 V. Calculate the radius of the path if a magnetic field 100 mT is then applied. [Charge of the electron $$= 1.6 \times 10^{-19}$$ C; Mass of the electron $$= 9.1 \times 10^{-31}$$ kg]

There are two long co-axial solenoids of same length $$l$$. The inner and outer coils have radii $$r_1$$ and $$r_2$$ and number of turns per unit length $$n_1$$ and $$n_2$$, respectively. The ratio of mutual inductance to the self-inductance of the inner-coil is: