NTA JEE Mains 8th April 2024 Shift 1

In an expression $$a \times 10^b$$;

Young's modulus is determined by the equation given by $$Y = 49000 \frac{m}{l} \frac{dyn}{cm^2}$$ where $$M$$ is the mass and $$l$$ is the extension of wire used in the experiment. Now error in Young modulus $$(Y)$$ is estimated by taking data from $$M - l$$ plot in graph paper. The smallest scale divisions are $$5 \text{ g}$$ and $$0.02 \text{ cm}$$ along load axis and extension axis respectively. If the value of $$M$$ and $$l$$ are $$500 \text{ g}$$ and $$2 \text{ cm}$$ respectively then percentage error of $$Y$$ is :

A clock has $$75 \text{ cm}$$ long second hand and $$60 \text{ cm}$$ minute hand respectively. In 30 minutes duration the tip of second hand will travel $$x$$ distance more than the tip of minute hand. The value of $$x$$ in meter is nearly (Take $$\pi = 3.14$$) :

A stationary particle breaks into two parts of masses $$m_A$$ and $$m_B$$ which move with velocities $$v_A$$ and $$v_B$$ respectively. The ratio of their kinetic energies $$(K_B : K_A)$$ is :

Three bodies A, B and C have equal kinetic energies and their masses are $$400 \text{ g}$$, $$1.2 \text{ kg}$$ and $$1.6 \text{ kg}$$ respectively. The ratio of their linear momenta is :

A player caught a cricket ball of mass $$150 \text{ g}$$ moving at a speed of $$20 \text{ m/s}$$. If the catching process is completed in $$0.1 \text{ s}$$, the magnitude of force exerted by the ball on the hand of the player is:

Two planets $$A$$ and $$B$$ having masses $$m_1$$ and $$m_2$$ move around the sun in circular orbits of $$r_1$$ and $$r_2$$ radii respectively. If angular momentum of $$A$$ is $$L$$ and that of $$B$$ is $$3L$$, the ratio of time period $$\left(\frac{T_A}{T_B}\right)$$ is:

Correct Bernoulli's equation is (symbols have their usual meaning) :

Two different adiabatic paths for the same gas intersect two isothermal curves as shown in P-V diagram. The relation between the ratio $$\frac{V_a}{V_d}$$ and the ratio $$\frac{V_b}{V_c}$$ is:

A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature $$(27°C)$$. The ratio of specific heat of gases at constant volume respectively is: