In an experiment to determine the figure of merit of a galvanometer by half deflection method, a student constructed the following circuit. He applied a resistance of $ 520 \, \Omega $ in $ R $. When $ K_1 $ is closed and $ K_2 $ is open, the deflection observed in the galvanometer is 20 div. When $ K_1 $ is also closed and a resistance of $ 90 \, \Omega $ is removed in $ S $, the deflection becomes 13 div. The resistance of galvanometer is nearly:

A 2 $\text{kg}$ mass is attached to a spring with spring constant $ k = 200, \text{N/m} $. If the mass is displaced by $ 0.1, \text{m} $, what is the potential energy stored in the spring?

A 10 $\mu\text{C}$ charge is placed in an electric field of $ 5 \times 10^3 \text{N/C} $. What is the force experienced by the charge?

A 5 $\Omega$ resistor and a 10 $\Omega$ resistor are connected in parallel. What is the equivalent resistance of the combination?

A car travels at a speed of $ 72 \, \text{km/h} $. What is the car's speed in meters per second?

A metal rod of length $ L = 0.8 \, \text{m} $ is rotating about its center with an angular velocity $ \omega = 10 \, \text{rad/s} $. What is the linear velocity of a point on the rod at a distance $ r = 0.4 \, \text{m} $ from the center?

A body of mass $ 1.5 \, \text{kg} $ is dropped from a height of $ 20 \, \text{m} $. What is its speed just before hitting the ground? (Assume $ g = 9.8 \, \text{m/s}^2 $)

A simple pendulum has a length of $ L = 2 \, \text{m} $. What is the time period of the pendulum? (Assume $ g = 9.8 \, \text{m/s}^2 $)

An object of mass $ 0.5 \, \text{kg} $ is moving with a velocity of $ 10 \, \text{m/s} $. What is the momentum of the object?

Evaluate the integral: ∫ log((2 + x)^{2 + x}) dx

A light ray passes from air (refractive index $ n_1 = 1 $) into water (refractive index $ n_2 = 1.33 $). If the angle of incidence is $ 30^\circ $, what is the angle of refraction in the water?

A 0.2 kg ball is thrown vertically upwards with an initial velocity of $ 10 \, \text{m/s} $. What is the maximum height reached by the ball? (Acceleration due to gravity $ g = 9.8 \, \text{m/s}^2 $)

A 1.5 kg object is moving with a velocity of $ 4 \, \text{m/s} $. What is its kinetic energy?

A block of mass $ 5 \, \text{kg} $ is placed on a frictionless surface. If a force of $ 10 \, \text{N} $ is applied to the block, what will be the acceleration of the block?