IIT-JEE / NEET Coimbatore Grand Test-01

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8 Questions

For the plane electromagnetic wave given by E = E0 sin(ωt - kx) and B = B0 sin(ωt - kx), what is the ratio of average electric energy density to average magnetic energy density?

1

Name the logic gate equivalent to the diagram attached.

OR

A small ball of mass M and density ρ is dropped in a viscous liquid of density ρ0. After some time, the ball falls with a constant velocity. What is the viscous force on the ball?

$F = Mg(1 - \frac{\rho}{\rho_0})$

The number of air molecules per cm3 increased from $3 \times 10^{19}$ to $12 \times 10^{19}$. What is the ratio of collision frequency of air molecules before and after the increase in number respectively?

0.75

A source supplies heat to a system at the rate of 1000 W. If the system performs work at a rate of 200 W, what is the rate at which internal energy of the system increases?

800 W

A particle is moving with constant speed in a circular path. When the particle turns by an angle 90°, what is the ratio of instantaneous velocity to its average velocity?

$\pi: 1$

A small block of mass 100 g is tied to a spring of spring constant 7.5 N/m and length 20 cm. If the block moves in a circular path with constant angular velocity 5 rad/s about a fixed point, what is the tension in the spring?

0.50 N

A monochromatic light wave with wavelength λ1 and frequency v1 in air enters another medium. If the angle of incidence and angle of refraction at the interface are 45° and 30° respectively, then what are the wavelength λ2 and frequency v2 of the refracted wave?

$\lambda_2 = \lambda_1$, $v_2 = \frac{v_1}{2}$

Prepare for the IIT-JEE or NEET with this comprehensive grand test covering Grade 11 and Grade 12 Physics and Chemistry portions. Ideal for students aiming to excel in competitive entrance exams.

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