Two bodies of masses M1 and M2 are connected to a ceiling as illustrated in the diagram below. The tension T2 in the middle string is given by the expression [Take acceleration due to gravity as g]

Here are the solutions to the questions: 14. Two bodies of masses M_1 and M_2 are connected to a ceiling as illustrated in the diagram below. The tension T_2 in the middle string is given by the expression [Take acceleration due to gravity as g] Step 1: Analyze the forces acting on mass M_2. The forces acting on M_2 are its weight acting downwards and the tension T_2 acting upwards. Step 2: Apply Newton's second law. Since the system is in equilibrium (not accelerating), the net force on M_2 is zero. T_2 - M_2g = 0 T_2 = M_2g The correct option is B. 15. Two identical cells each of emf 2 V and internal resistance 0.5 are connected in series with a 4.0 resistor. Calculate the current in the circuit. Step 1: Calculate the total electromotive force (emf) of the cells in series. E_total = E_1 + E_2 = 2 V + 2 V = 4 V Step 2: Calculate the total internal resistance of the cells in series. r_total = r_1 + r_2 = 0.5 + 0.5 = 1.0 Step 3: Calculate the total resistance in the circuit. R_circuit = R_external + r_total = 4.0 + 1.0 = 5.0 Step 4: Use Ohm's Law to calculate the current. I = E_totalR_circuit I = 4 V5.0 I = 0.8 A The correct option is C. 16. The first ionization energy of Titanium (Ti) is 6.36 × 10^7 J mol^-1. Calculate the longest wavelength of electromagnetic radiation that can ionize an atom of Ti. [Planck's constant, h = 6.63 × 10^-34 J s, speed of light, c = 3.0 × 10^8 m s^-1, Avogadro's number, N_A = 6.02 × 10^23 mol^-1] Step 1: Convert the ionization energy from per mole to per atom. E_atom = 6.36 × 10^7 J mol^-16.02 × 10^23 mol^-1 E_atom ≈ 1.05648 × 10^-16 J Step 2: Use the formula for the energy of a photon, E = (hc)/(), to find the wavelength . = (hc)/(E_atom) Step 3: Substitute the given values into the formula. = (6.63 × 10^-34 J s) × (3.0 × 10^8 m s^-1)1.05648 × 10^-16 J = 1.989 × 10^-25 J m1.05648 × 10^-16 J ≈ 1.8826 × 10^-9 m Step 4: Convert the wavelength to nanometers (nm). 1 nm = 10^-9 m ≈ 1.8826 nm Rounding to two decimal places, ≈ 1.88 nm. The correct option is B. A body accelerates uniformly from rest at 2 m s^-2 for 10 s. Use the information provided above to answer questions 17 and 18. Given: Initial velocity, u = 0 m s^-1 (from rest) Acceleration, a = 2 m s^-2 Time, t = 10 s 17. The speed of the body at the end of 10 s is Step 1: Use the kinematic equation v = u + at. v = 0 m s^-1 + (2 m s^-2) × (10 s) v = 20 m s^-1 The correct option is C. 18. How far will the body move in 10 s? Step 1: Use the kinematic equation s = ut + (1)/(2)at^2. s = (0 m s^-1) × (10 s) + (1)/(2) × (2 m s^-2) × (10 s)^2 s = 0 + 1 × (100 s^2) m s^-2 s = 100 m The correct option is C. 19. The magnetized needle of a compass aligns more quickly at the geographical north and south poles than other regions because the poles have the The Earth's magnetic field lines are most concentrated at the magnetic poles, meaning the magnetic field strength is greatest there. This stronger field exerts a greater torque on the compass needle, causing it to align more quickly. The correct option is D. 20. When whirling a stone in a horizontal circle, the angular velocity is Angular velocity is a vector quantity whose direction is along the axis of rotation. For a stone whirled in a horizontal circle, the axis of rotation is vertical, meaning the angular velocity vector is perpendicular to the plane of the circle. The correct option is B. **21. Which of the following therm ✂️ _That answer was long and got cut off. Reply continue and I'll finish it._