Chapter P.4, Problem 11P

The Lagrangian of a particle performing harmonic oscil- lations is written in the form L = ax² - Bx² - yx, where a, and are constants. What is the angular frequency of oscillations? A) √2/a B) √(+2a)/B C) √√Ba D) B/α

The mean temperature of the Earth is T=287 K. What would the new mean temperature T' be if the mean distance between the Earth and the Sun was increased by 2%? Select one: ○ 293 K O 281 K ○ 273 K 284 K

Two concentric current-carrying wire loops of radius 3 cm and 9 cm lie in the same plane. The currents in the loops flow in the same direction and are equal in magnitude. The magnetic field at the common center of the loops is 50 mT. What would be the value of magnetic field at the center if the direction of the two currents was opposite to each other (but their value is kept constant)? Select one: ○ 20 mT ○ 10 mT O 15 mT ○ 25 mT

An ideal coil of inductivity 50 mH is connected in series with a resistor of 50 ohm. This system is connected to a 4.5 V battery for a long time. What is the current in the circuit? Select one: O 45 mA ○ 90 mA 00 mA O 150 mA

There are two thin-walled spherical shells made from the same material, the radius of the smaller shell is half of the radius of the larger one. The thickness of the walls is the same. Denote the moment of inertia (with respect to the center) of the larger shell by I₁, and that of the smaller one by 12. What is the ratio I₁/12? Select one: ○ 8 O 16 O 4 ○ 32

A swimming pool has dimensions 20.0 m X 20.0 m and a flat bottom. The pool is filled to a depth of 3.00 m with fresh water. By what force does the water push each of the sidewalls? Density of water is 1000 kg/m³. Select one: ○ ~ 900 KN о ~ 2 ~ 1800 kN 600 kN 1500 kN

From one corner of a thin homogeneous square metal sheet with sides of L = 20 cm is cut an L/2 square sheet as shown in the figure. Approximately how far away is the centre of mass of the resulting shape from the centre P of the original square? P ○ 24 mm ○ 42 mm ○ 32 mm ○ 16 mm

20:19 Vol 69% + WiFi2 nothing happens to the nqara lever more the container (d) none of these 33. Statement I: The internal energy of a solid substance increases during melting.4_03-04-2025_QP.pdf Statement II: The molecules have greater kinetic energy in a liquid. Statement I and Statement II are true and the (a) Statement II is the correct explanation of Statement I. Statement I and Statement II are true but the (b) Statement II is not the correct explanation of Statement I. (c) Statement I is true but Statement II is false. (d) Statement I and Statement II are false. 34. Select correct statement related to heat 35. (a) Heat is possessed by a body (b) (c) Hot water contains more heat as compared to cold water Heat is the energy which flows due to temperature difference (d) All of these Two liquids A and B are at 32°C and 24°C. When mixed in equal masses the temperature of the mixture is found to be 28°C. Their specific heats are in the ratio of: (a) 3:2 (c) 1:1 (b) 2:3 (d) 4:3 36.…

The skid loader shown has a mass of 1.28 Mg and in the position shown the center of mass is at G. There is a 255 kg barrel in the bucket with its center of mass at GB. The horizontal distance between the barrel's center of mass and the front wheels is d = 1.33 m. The horizontal distance between the front wheels and rear wheels is w = 0.55 m. The bucket arm is held horizontal between D and E and the pair of hydraulic cylinders creates angle /EDC of 0 = 32 degrees. 1.25 m GB D 60000 A G B E C 0.15 m 0.5 m d W i. Determine the reaction force on the pair of wheels at the front of the skid loader at A. ii. Determine the reaction force on the pair of wheels at the rear of the skid loader at B. iii. Determine the magnitude of the compressive force in a single hydraulic cylinder CD. Note that there are two hydraulic cylinders, one on each side of the skid loader. iv. Determine the magnitude of the reaction force on a single pin that attaches the bucket assembly to the skid loader chassis at E.…