NTA JEE Main 10th April 2023 Shift 2

If the maximum load carried by an elevator is 1400 kg (600 kg-Passengers + 800 kg-elevator), which is moving up with a uniform speed of 3 m s$$^{-1}$$ and the frictional force acting on it is 2000 N, then the maximum power used by the motor is _______ kW. $$g = 10$$ m s$$^{-2}$$

A force of $$-P\hat{k}$$ acts on the origin of the coordinate system. The torque about the point (2, -3) is $$P(a\hat{i} + b\hat{j})$$. The ratio of $$\frac{a}{b}$$ is $$\frac{x}{2}$$. The value of x is _______

Figure below shows a liquid being pushed out of the tube by a piston having area of cross section 2.0 cm$$^2$$. The area of cross section at the outlet is 10 mm$$^2$$. If the piston is pushed at a speed of 4 cm s$$^{-1}$$, the speed of outgoing fluid is _______ cm s$$^{-1}$$

A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1 m and time period 3.14 s. The maximum force exerted by spring on block is _______ N.

An electron revolves around an infinite cylindrical wire having uniform linear charge density $$2 \times 10^{-8}$$ C m$$^{-1}$$ in circular path under the influence of attractive electrostatic field as shown in the figure. The velocity of electron with which it is revolving is _______ $$\times 10^6$$ m s$$^{-1}$$. Given mass of electron $$= 9 \times 10^{-31}$$ kg

A rectangular parallelopiped is measured as 1 cm $$\times$$ 1 cm $$\times$$ 100 cm. If its specific resistance is $$3 \times 10^{-7}$$ $$\Omega$$ m, then the resistance between its two opposite rectangular faces will be _______ $$\times 10^{-7}$$ $$\Omega$$.

A straight wire carrying a current of 14 A is bent into a semicircular arc of radius 2.2 cm as shown in the figure. The magnetic field produced by the current at the centre O of the arc is _______ $$\times 10^{-4}$$ T

A square loop of side 2.0 cm is placed inside a long solenoid that has 50 turns per centimetre and carries a sinusoidally varying current of amplitude 2.5 A and angular frequency 700 rad s$$^{-1}$$. The central axes of the loop and solenoid coincide. The amplitude of the emf induced in the loop is $$x \times 10^{-4}$$ V. The value of x is _______ (Take, $$\pi = \frac{22}{7}$$)

A point object O is placed in front of two thin symmetrical coaxial convex lenses $$L_1$$ and $$L_2$$ with focal length 24 cm and 9 cm respectively. The distance between two lenses is 10 cm and the object is placed 6 cm away from lens $$L_1$$ as shown in the figure. The distance between the object and the image formed by the system of two lenses is _______ cm.

If 917 $$\mathring{\text{A}}$$ be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be _______ $$\mathring{\text{A}}$$.