In a Wheatstone's bridge, three resistance P, Q and R connected in the three arms and the fourth arm is formed by two resistance S1 and S2 connected in parallel. The condition for bridge to be balanced will be
If 13.6 eV energy is required to ionize the hydrogen atom, then the energy required to remove an electron from n = 2 is
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In the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning fork is 0.1 m. When this length is changed to 0.35 m, the same tuning fork resonates with the first overtone. Calculate the end correction.
A uniformly wound solenoidal coil of self-inductance 1.8×10−4 H and resistance 6 Ω is broken up into two identical coils. These identical coils are then connected in parallel across a 15 V battery of negligible resistance. The steady-state current through the battery in ampere is
A piece of metal weighs 45 g in air and 25 g in a liquid of density 1.5 x 103 kg-m-3 kept at 30°C. When the temperature of the liquid is raised to 40°C, the metal piece weighs 27 g. The density of liquid at 40°C is 1.25 x 103 kg-m-3. The coefficient of linear expansion of metal is
Two radioactive materials X1 and X2 have decay constants 10λ and λ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X1 to that of X2 will be 1/e after time
A particle is released from rest from a tower of height 3h. The ratio of time taken to fall equal heights hh i.e., t1 : t2 : t3 is
An impulse J is applied on a ring of mass m along a line passing through its centre O. The ring is placed on a rough horizontal surface. The linear velocity of centre of ring once it starts rolling without slipping is
The rms value of the electric field of the light coming from the Sun is 720 N C−1. The average total energy density of the electromagnetic wave is
Three identical blocks of masses m = 2 kg are drawn by a force F = 10.2 N on a frictionless surface, then what is the tension (in N) in the string between the blocks B and C?
A metallic square loop ABCD is moving in its own plane with velocity V in a uniform magnetic field perpendicular to its plane as shown in the figure. EMF is induced
What is the relation between the refractive indices μ1 and μ2? If the behaviour of light rays is as shown in the figure.
In Young's double slit experiment, the 10th maximum of wavelength λ1 is at a distance of y1 from the central maximum. When the wavelength of the source is changed to λ2, 5th maximum is at a distance of y2 from its central maximum. The ratio y1/y2 is
Young's modulus of steel is 19 × 1010 N/m2. Express it in dyne/cm2. Here dyne is the CGS unit of force.
Ionisation potential of hydrogen atom is 13.6 eV. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. The spectral lines emitted by hydrogen atoms according to Bohr's theory will be
Three capacitors C1 = 3 μF, C2 = 6 μF and C3 = 12 μF are joined in series. This series combination is connected to a 14 volt source. The P.D across the plates of capacitor C2 is
In the circuit shown below, C1 = 3 μF ; C2 = 6 μF ; C3 = 6 μF ; C4 = 12 μF and C5 = 9 μF. The total energy stored in these five capacitors is
In the circuit shown, R1 = 10 Ω; R2 = 20 Ω; R3 = 30 Ω and R4 = 20 Ω. Potential difference between b and d (Vb - Vd) is
For the circuit shown below, when the switch S is closed, then the total amount of charge that flows from point a to point b through the switch, is
In the infinite ladder network shown below, if R = 1.235 Ω, then the effective resistance between the points a and b (approximately) is (√5 = 2.235)
In the circuit shown below, if the tap key K is pressed at time t = 0, then which of the following statements is false?
The electric field decreases most rapidly, with distance for
Eight identical spherical liquid drops each charged to potential of 2 volt. They coalesce to make one big spherical liquid drop, whose potential is
A uniform electric field of 50√2 Vm-1, exists in XY plane, making an angle of 45° with positive X axis as shown in below figure. The potential difference [VA - VB] is
A point charge Q is located at a distance R/2 From the centre of an uncharged conducting spherical shell as shown in below figure. The electric field at a distance 3R from the point charge is
In the circuit shown, the effective resistance between the points a and b is
In the circuit shown, the effective resistance between the points a and b is