A wooden block P is at rest on the horizontal surface of a wooden platform M. The coefficient to static friction between these two is μ. The platform starts moving suddenly with a uniform acceleration "a". The minimum value of "a" so that the block P starts moving with respect to the platform M is (g denotes the acceleration due to gravity).
A block of mass 2 kg is initially held at rest on the frictionless surface of a wedge of mass 5 kg. The wedge itself lies on horizontal frictionless surface. The block is now released so that it is allowed to slide down the slope. How far down the slope does the block move when the wedge has moved a distance of 2 cm?
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A particle of mass m moves along the x-axis under the influence of the potential V(x) = V0αx2. If the particle oscillate with a small amplitude around the minimum of the potential, what is the period of oscillation? Take m = 4, V0 = 2 and α 3/4.
Two beakers A and B are filled to the brim with water at40C. beaker A is cooled 'while beaker B is heated. This is likely to result in
The apparent wavelength of light coming from a star which is moving away from earth is 0.05% more than its actual wavelength. Then the speed of star is
In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.
An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample is
A closed organ pipe and an open organ pipe of same length produce 2 beats/second while vibrating in their fundamental modes. The length of the open organ pipe is halved and that of closed pipe is doubled. Then, the number of beats produced per second while vibrating in the fundamental mode is___
A young's double slit apparatus has a slit separation of 0.4 mm and a screen placed at a distance of 200 cm from the slits. When illuminated by a 632 nm Helium Neon laser, the position of the first intensity minimum with respect to the central maximum will be
A small block of copper with a specific heat of 200 cal/0C is initially at a temperature of 3000C. It is then dropped into a large tank of water maintained at 270C. What is the change in entropy of the combined system after equilibrium is established?
A solid is melts into a liquid via first-order phase transition. The relationship between the pressure P and the temperature T of the phase transition is P = where P0 is a constant. The entropy change associated with the phase transition is 3J mole-1 k-1. The clausius - clapeyron equation for the latent heat is is the change in molar volume at the phase transition. Then
Which of the following graphs correctly represent the variation of with P for an ideal gas at constant temperature?
A horizontally placed hollow tube has a cross-sectional area A at the beginning of the tube that gradually tapers off to A/2 at the end. An incompressible, ideal fluid of density ρ enters the tube with a velocity V at the beginning of the tube. The difference in the pressure across the tube is
A satellite is placed in a circular orbit about the earth whose radius is 1/50 th the distance between the earth and the moon. If the lunar period around the earth is 28 days, the period of revolution of the satellite is approximately.
Planck's constant (h), the speed of light in vacuum (C), Length (L) and Newton's gravitational constant (G) are four fundamental constants of nature. Which of the following combinations has the dimension of frequency?
A stone is dropped from a height 200 m at the equator. mass of stone=7.2*10-4 kg. The eastward deflection is
A block of mass m slides on a frictionless table. It is constrained to move inside a ring of radius R. At time t = 0 , block is moving along the inside of the ring (i.e. in the tangential direction) with velocity v0 The coefficient of friction between the block and the ring is μ . Find the speed of the block at time t
A particle of charge +q and mass m moving under the influence of a uniform electric field and a uniform magnetic field follows a trajectory from P to Q as shown in the figure. The velocities at P and Q are Which of the following statement is not correct?
A bullet of mass m moving horizontally with speed V passes through a pendulum suspended using a string of length t and bob of mass M and emerges with velocity V/3. The minimum velocity of V which makes the pendulum to swing through a complete circle is
A cylindrical vessel of height h and base are A is filled with water. An orifice of area a « A is opened in the bottom of the vessel, determine how soon all the water will pour out of the vessel.
The orthorhombic crystal has axial units in the ratio of 0.424 : 1: 0.367. The miller indices of a crystal face whose intercepts are in the ratio 0.212 :1 :0.183 will be : -
Two isolated metallic solid sphere of radius R & 2R are charged such that both of these have same charge density σ. The sphere are located for away from each other if they are connected by a thin conducting wire. The charge density on the bigger sphere:-
If a conductor of cross section 'a' & carrying a current is oriented along the y-axis in a magnetic field the force density exerted on the conductor is :-
The time averaged poynting vector in for a wave with in free space:-
In a multistage RC coupled amplifier the coupling capacitor (Cc):-
In a transistor having fixed biasing, the forward bias across the base-emitter junction is kept constant & the reverse bias across the collector-base junction is increased. Neglecting the leakage current across the collector-base junction & the depletion region generation current, the base current will : -
Thermal runway in a transistor biased in the active region is due to : -
A voltage source VAB = 4 sin ωt is applied to the terminals A & B of the circuit shown in the given figure. The diodes are assumed to be ideal. The impedance by the circuit across the terminals A & B is:-
Given that the op-amp configuration in given figure below, the value of R( required to produce a closed loop voltage gain of 100:-
Eigen vector of matrix corresponding to the eigen values (1 + i) and (1 - i) are respectively (where i = √-1)