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A long plank begins to move at t = 0 and accelerates along a straight track with a speed given by v = 2t^2 for 0 ≤ t ≤ 2. After 2 s, the plank continues to move at the constant speed acquired. A small block initially at rest on the plank begins to slip at t = 1 s and stops sliding at t = 3 s. Find the coefficient of static and kinetic friction between the block and the plank. |
The standard heats of formation of at 298 K for CCl_4 (g), H_2 O(g), CO_2 (g) and HCl(g) are −25.5, −57.8, −94.1 and −22.1 kcal mol^(−1) respectively. Calculate Δ_r H^⊝ for the reaction CCl_4 (g) + 2H_2 O(g) → CO_2 (g) + 4HCl(g) |
Select the species which has the smallest radius stating appropriate reason. K^+ , Sr^(2+) , Ar |
A cubical block is held stationary against a rough wall by applying force ′F′ then incorrect statement among the following is (1) frictional force, f = Mg (2) f = N, N is normal reaction (3) F does not apply any torque (4) N does not apply any torque |
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A uniform flexible chain of length (3/2) m rests on a fixed smooth sphere of radius R = (2/π) m such that one end A of chain is on the top of the sphere while the other end B is hanging freely. Chain is held stationary by a horizontal thread PA. Calculate the acceleration of chain when the horizontal string PA is burnt. (g = 10 m/s^2 ) |
The first and second ionization potentials of helium atoms are 24.58 eV and 54.4 eV per mole respectively. Calculate the energy in kJ required to produce 1 mole of He^(2+) ions. |
If separate samples of argon, methane, nitrogen and carbon dioxide, all at the same initial temperature and pressure and expanded adiabatically reversibally to double their original volumes, then which one of these gases will have high temperature as final temperature? |
A string of negligible mass going over a clamped pulley of mass m supports a block of mass M. The force on the pulley by the clamp is given by |
A particle moves in a straight line along x-axis. At t = 0, it is released from rest at x = a. Acceleration of the particle varies as (d^2 x/dt^2 ) = −(k/x^2 ) , where k is a positive constant. Time required by particle to reach the origin will be |
A small bead of mass m is given an initial velocity of magnitude v_0 on a horizontal circular wire. If the coefficient of kinetic friction is μ_k , the determine the distance travelled before the collar comes to rest. (Given that radius of circular wire is R). |
A wire, which passes through the hole in a small bead, is bent in the form of quarter of a circle. The wire is fixed vertically on ground. The bead is released from near the top of the wire and it slides along the wire without friction. As the bead moves from A to B, the force it applies on the wire B is (a) always radially outwards (b) always radially inwards (c) radially outwards initially and radially inwards later (d) radially inwards initially and radially outwards later. |
If a certain mass of gas is made to undergo separately adiabatic and isothermal expansions to the same pressure, starting from the same initial conditions of temperature and pressure, then as compared to that of isothermal expansion, in the case of adiabatic expansion, the final (1) Volume and temperature will be higher (2) Volume and temperature will be lower (3) Temperature will be lower but the final volume will be higher (4) Volume will be lower but the final temperature will be higher |
A particle P is moving on a circle under the action of only one force acting always towards fixed point O on the circumference. Find ratio of (d^2 φ/dt^2 ) and ((dφ/dt))^2 . |
The linear mass density, i.e. mass per unit length of the rope, varies from 0 to λ from one end to another. The acceleration of the combined system will be |
In the ground state, an element has 13 electrons in its M-shell. The element is |
A mass m hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass m and radius R. Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass m, if the string does not slip on the pulley, is |
Reversible melting of solid benzene at 1 atm and normal melting point correspond to (1) q > 0 (2) w < 0 (3) ΔE > 0 (4) All of these |
The ionization potential of hydrogen is 13.6 eV/mole. Calculate the energy in kJ required to produce 0.1 mole of H^+ ions. Given, 1 eV = 96.49 kJ mol^(−1) ) |
STATEMENT-1 : If an object is at rest then there should not be any friction on it. STATEMENT-2 : If an object is moving then the friction acting on it has to be kinetic. STATEMENT-3 : If an object is at rest then kinetic friction cannot act on it. |
A flywheel whose diameter is 1.5m decrease uniformly from 240rad/min until it came to rest 10s. Find the number of revolution made. |
Two balls of mass 500g and 750g moving with 15m/s and 10m/s towards each other collides. Find the velocities of the ball after collision, if the coefficient of restitution is 0.8 |
A hockey player is moving northward and suddenly turns westward with the same speed to avoid an opponent. The force that acts on the player is (a) frictional force along westward (b) muscle force along southward (c) frictional force along south-west (d) muscle force along south-west |
Calculate the energy emitted when electrons of 1 g atom of hydrogen undergo transition giving the spectral line of lowest energy in the visible region of its atomic spectrum (R_H = 1.1 × 10^7 m^(−1) , c = 3 × 10^8 ms^(−1) , h = 6.62 × 10^(−34) Js) |
The line of action of the resultant of two like parallel forces shifts by one fourth of the distance between the forces when the two forces are interchanged. The ratio of the two forces is |
A block is tied with a thread of length l and moved in a horizontal circle on a rough table. Coefficient of friction between block and table is μ = 0.2. Find tan θ, where θ is the angle between acceleration and frictional force at the instant when speed of particle is v = (√(1.6lg)) |
Pg 126 Pg 127 Pg 128 Pg 129 Pg 130 Pg 131 Pg 132 Pg 133 Pg 134 Pg 135 |