The dimensional formula of capacitance C is (Here M, L, I and T represent mass length, current and temperature respectively)
The sum of the three vectors shown in figure is zero. The magnitude of the vector
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A particle starts from rest with a constant acceleration. At a time t second, the speed is found to be 100 m/s and one second later the speed becomes 150 m/s. The acceleration a and the distance d travelled during the (t + 1)th second respectively, are
A projectile is fiied with a speed u at an angle θ with the horizontal. Its speed when its direction of motion makes an angle α. with the horizontal is
The force on a particle of mass 10 g is If it starts from rest, then its position at time t = 5s is
A block slides down an incline of angle 30° with an acceleration g/4. The kinetic friction coefficient between inclined plane and block is
A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r and the string makes angle θ with the vertical. The speed of the particle is
A block of mass 2.0 kg is pulled up on a smooth incline of angle 30° with the horizontal. If the block moves with an acceleration of 1.0 m/s2. the average power delivered during the 4.0 s after the motion starts is approximately close to (Take g = 9.8 m/s2)
The optical path of a monochromatic light is the same if it goes through 2 cm of a transparent medium 2.25 cm of water. If the refractive index of water is 1.33, the refractive index of the medium is close to
A uniform circular disc of mass 200 g and radius 4 cm is rotated about one of its diameter at an angular speed of 10 rad/s. The ratio of its kinetic energy to its angular momentum about the axis of rotation is
An infinite current carrying wire passes through point O and is perpendicular to the plane containing a current loop ABCD as shown in the figure. Choose the collect option(s).
A proton and an electron are placed in a uniform electric field. Which one of the following statements is/are INCORRECT?
There is a small hole near the bottom of an open tank filed with a liquid. The speed of the water ejected does not depend on
A wave is represented by the equation y = (0.001 mm) sin[(50s-1)t + (2.0 m-1)x]. Then
Four moles of a radioactive material decays into 0.5 moles in 90 seconds. Then the disintegration constant is equal to ______ x 10-2s-1 (upto two decimal places)
Ultraviolet light of wavelength 350 nm and intensity 1.00 W/m2 is directed at a metal surface of work function 2.2 eV. If 0.50% of the incident photons produce photoelectrons, the number of photo electrons emitted per second, if the metal surface lias an area of 1.00 cm2, is equal to ____ x 1011 photoelectrons/s. (upto one decimal place) (h = 6.626 x 10-34 J s, c = 3 x 108 m/s, 1 eV = 1.6 x 10-19 J)
The maximum wavelength of light which can ionize a hydrogen atom in its ground state is _____ nm. (up to one decimal place.) (Given data: h = 4.14 x 10-15 eVs, c = 3 x 108 m/s, ground state energy of H-atom = -13.6 eV)
A light beam travelling in the x-direction is described by the electric field
The corresponding magnetic field is of the form Then the value of n is equal to ____.
An inductor (L = 200 mH) is connected to an AC source of peak emf 210 V and freqeuncy 50 Hz. The value of peak current is _______ A. (up to one decimal place).
A conducting circular loop is placed in a uniform magnetic field B = 0.020 T with its plane perpendicular to the field. The radius of the loop staits shrinking at a constant rate of 1.00 mm/s. The induced emf in the loop, at an instant when the radius is 2 cm, is _____ μV. (up to one decimal place)