Physical quantity x depends on quantities y and z as x = Ay + B sin (C z), where A., B and C are constants.
Which of the following have same dimension?
Acceleration versus time graph for a particle is as shown in the figure. If the particle starts its motion from rest, then the maximum speed of the particle is
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A body is dropped under gravity. The ratio of distances covered by the body in first and sixth second of motion is
The famous Big Ben clock tower in London has hour hand of approximate length 10 feet. Calculate the magnitude of change in velocity of change in velocity of hour hand of Big Ben in six hour (1 feet = 0.305 m)
A particle revolving in a circular path completes first one third of circumference in 3s, while next one third in 2s. The average angular velocity of the particle is
The upper portion of an inclined plane is smooth and lower portion is rough. A particle slides down from rest from the top and just comes to rest at the foot. If the ratio of the smooth length to the rough length is m : n, the coefficient of friction is (α : angle of inclination)
Two blocks A and B of masses 2 kg and 4 kg respectively are interconnected by an ideal spring of constant. 200 N/m and placed on a smooth horizontal surface. If the spring is initially unstretched and block B is given a rightward velocity 10 m/s, then the maximum extension attained in the spring will be
While visiting the orthopaedics department of AIIMS Delhi, Ram notices a datasheet which mentions that the human femoral cortical bone has an average Young’s modulus equal to 19000 MPa. A stress of approximately 200 MPa is the tensile strength of the bone. The maximum bearable strain of the bone will be
An engine of a motor pulls up a 20 kg mass slowly through a height of 10m in 10 s. The power consumption of the engine, if it works at an efficiency of 60% is (g = 10 m/s2)
ABCD represents a uniform square lamina as shown in the figure. The moment of inertia along the corresponding axis are also indicated. The ratio has a value
If R is the radius of a nucleus and A is mass number, then the plot of In(R/R0) versus In (A) will be
A monochromatic light of wavelength λ is incident on an isolated metallic sphere of radius R. The threshold wavelength is λ0 (λ0 > λ). The number of photoelectrons emitted before the emission of photoelectron will stop, is
A photon of energy hv is absorbed by a free electron of a metal having work function (w < hv), then
The plot of stopping potential (V) and frequency (v) of the light incident in an experiment on photoelectric effect is shown in the figure. The ratio (h/e) will come out
If the momentum of an electron is changed by ΔP, then the de-Broglie wavelength associated with it changes by 0.2%. The initial momentum of the electron will be
The diagram below shows an instantaneous position of a string as a transverse progressive wave travels along it from left to right
A tuning fork of frequency f produces 6 beats per second with a tuning fork of frequency of 248 Hz. And 9 beats with another tuning fork having frequency of 263 Hz. The value of f will be
In a stationary wave produced in a string, all the particles
Fundamental frequency of a sonometer wire is v. If the length, tension and diameter of wire are doubled the new fundamental frequency becomes
The fundamental frequency of a closed pipe is 220 Hz. Now 1/4th of the pipe is filled with water, first overtone frequency of the pipe in this situation will be
If the acceleration due to gravity on the surface of earth is g, the speed with which a body hit the earth surface, when released from a height equal to radius of earth is
Three particles of masses 2M, m and 3M are placed at points A, B and C respectively with BC = 3/2 AB. M is very small than 2M and at time t = 0 they are all at rest. A subsequent time s before any collision takes place
If gravitational force between two masses varies as F ∝ 1/r3 Then orbital speed of satellite varies with radius of orbit as
A uniform spherical shell gradually expands maintaining shape. Then gravitational potential at centre will (mass remains constant)
A wheel starts from rest and rotates with a constant angular acceleration of 2.0 rad/s2. The number of revolutions made by wheel in 10 s is nearly
A capacitor of capacitance C1 = 1 μF withstand a maximum voltage V1 = 6 kV, while a capacitor of capacitance C2 = 3.0 μF withstand the maximum voltage V2 = 4 kV. The maximum voltage which the capacitors can withstand when connected in series
Three charges are arranged on the vertices of an equilateral triangle as shown in figure. The dipole moment of combination is
A thin metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of shell and charge – q1 5s placed outside it as shown in figure. The force on the charge at centre due to shell is
In a certain region of space electric field is along the z-direction throughout. The magnitude of electric field is however, not constant but increases uniformly along positive z-direction at the rate of 106 N/Cm. The force experienced by a dipole of dipole moment 0.2 x 10-5 Cm in negative z direction
The equivalent capacitance of combination shown in figure between points A and B is