The three charges q/2, q and q/2 are placed at the corners A, B and C of a square of side ‘a’ as shown in figure. The magnitude of electric field (E) at the corner D of the square is
Motion of a particle in x–y plane is described by a set of following\(x = 4sin (\frac{π}{2} - ωt )m\)and y = 4sin(ωt) m. The path of the particle will be
Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.Assertion A : Product of Pressure (P) and time (t) has the same dimension as that of coefficient of viscosity.Reason R : Coefficient of viscosity\(= \frac{Force}{Velocity ∼ gradient}\)Choose the correct answer from the options given below.
The total internal energy of two mole monoatomic ideal gas at temperature T=300 K will be _____J. (Given R = 8.31 J/mol.K)
As per the given figure, two plates A and B of thermal conductivity K and 2 K are joined together to form a compound plate. The thickness of plates are 4.0 cm and 2.5 cm, respectively and the area of cross-section is 120 cm2 for each plate. The equivalent thermal conductivity of the compound plate is \((1+\frac{5}{α})K,\) then the value of α will be ___.
The intensity of the light from a bulb incident on a surface is 0.22 W/m2. The amplitude of the magnetic field in this light-wave is ___ × 10–9 T.
(Given : Permittivity of vacuum ε0 = 8.85 × 10–12C2N–1–m–2, speed of light in vacuum c = 3 × 108 ms–1)
An AC source is connected to an inductance of 100 mH, a capacitance of 100 μF and a resistance of 120 Ω as shown in the figure. The time in which the resistance having a thermal capacity 2 J/°C will get heated by 16°C is ___ s.
A telegraph line of length 100km has a capacity of 0.01μF/km, and it carries an alternating current at 0.5kilo cycle per second. If the minimum impedance is required, then the value of the inductance that needs to be introduced in series is ______ mH.(if π = √10)
A pendulum is suspended by a string of length 250 cm. The mass of the bob of the pendulum is 200 g. The bob is pulled aside until the string is at 60° with vertical, as shown in the figure. After releasing the bob, the maximum velocity attained by the bob will be ___ ms–1. (if g = 10 m/s2)