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Two wires MACN and MBDN, of the same length but of different resistances $R_1$ and $R_2$ are connected as shown in the figure. Contacts A, B, C and D are arranged so that there is no current passing through wires AB and CD? Will current pass through AB and CD with this arrangement of contacts if two points E and F on these wires are connected?

In the figure shown, find the direction of friction on block A.

Two equal charges are suspended with non-conducting wires of equal length from the same point. Now, the whole system is taken inside a liquid (water). If the angle between the threads remains same, then calculate the relative permittivity of water. Relative density of both charged particles is $\sigma$.

A block of mass $m$ is hung from a pulley of mass $M$ and radius $R$ and then released from rest. Initially the block is at height $h$ from the floor. The speed of the block when it strikes the floor if $M=4m$ will be

For an RLC circuit driven with voltage of amplitude $v_m$ and frequency ${\omega }_0=\frac{1}{\sqrt{LC}}$, the current exhibits resonance. The quality factor, Q, is given by

Find the value of $r$ so that maximum power is generated in external circuit.

In Z-scheme, zig-zag movement of electron is due to

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A ball is projected along the principal axis with speed $10\sqrt{2}\text{m/s}$ at an angle of ${45}^{\circ }$ with the principal axis of a concave mirror. If the ball is at $10\text{m}$ beyond the centre of curvature at the time of projection, then relative speed of the image with respect to the object when it crosses the centre of curvature will be

The frequency of a sound wave is 25 Hz. What is the number of oscillations produced in 1 minute?

A semi-infinite long wire with uniform charge density +λ is placed along y-axis as shown. Direction of electric field at point P will be



एकसमान आवेश घनत्व +λ वाले एक साम्यनंत लम्बे तार को दर्शाए अनुसार y-अक्ष के अनुदिश रखा गया है। बिन्दु P पर विद्युत क्षेत्र की दिशा होगी

A source of sound 'S' emitting waves of frequency $100Hz$ and an observer 'O' are located at some distance from each other. The source is moving with a speed of $19.4m{s}^{-1}$ at an angle of ${60}^o$ with the source observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer is

(velocity of sound in air $330m{s}^{-1}$)

A force of $5\text{N}$, making an angle $\theta$ with the horizontal, acting on an object and displaces it by $0.4\text{m}$ along the horizontal direction. If the work done by the force is $1\text{J}$, then the horizontal component of the force is

A thin stick of length $\frac{f}{5}$ is placed along the principal axis of a concave mirror of focal length f such that its image which is real and elongated just touches the stick. what is the magnification?

Maximum and minimum resultant of two forces are in the ratio 5:2 then the ratio of the forces is what

To see the virtual image of an object formed in the lens, the object and the observer should be:

An uniform rod of mass $M$ & length $L$ is hinged about its one end as shown. Initially it is held vertical and then allowed to rotate, the angular velocity of rod when it makes an angle of ${37}^{\circ }$ with the vertical is

If the ratio of the intensity of two coherent sources is $4$. The ratio $\left[\frac{I_{max}-I_{min}}{I_{max}+I_{min}}\right]$ is equal to,

A Carnot engine operates at an efficiency of $40\%$ with the sink at ${27}^{\circ }C$. Find the amount by which the temperature of the source must be increased in order to increase the efficiency by $10\%$.

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Find the capacitance of the system

A force F=a+bx acts on a particle in the x-direction where a and b are constants. Find the work done by this force during a displacement from x=0 to x=d.

A sonometer wire of length $1.5\text{m}$ is made of steel. The tension in it produces an elastic strain of $1\%$. What is the fundamental frequency of steel, if density and elasticity of steel are $7.7\times {10}^3{\text{kg/m}}^3$ and $2.2\times {10}^{11}{\text{N/m}}^2,$ respectively?

A rod of length $l$ is rotating about one end $\text{A}$ in a uniform magnetic field $B$ which is perpendicular to the plane of rotation of the rod. Point $\text{B}$ is the midpoint of the rod. Find the potential difference between points $\text{B}$ and $\text{C}$ if the potential difference between $\text{A}$ and $\text{C}$ is $25\text{V}.$

For a given density of planet the orbital period of a satellite near the surface of planet of radius R is proportional to

Due to the flow of current in a circular loop of radius $R$, the magnetic field produced at the centre of the loop is $B$. The magnetic moment of the loop is:-

A rocket is going away from the earth at a speed $0.2c$, where c = speed of light. It emits a signal of frequency $4\times {10}^{7}Hz$. What will be the frequency observed by an observer on the earth?

If $0<x<1$, then find the value of $\frac{x}{1-x}(\left(\sin \right({\cot }^{-1}x\left)\sec \right({\cot }^{-1}x){)}^2-1{)}^{\frac{1}{2}}$

A copper wire of length 1m and radius $1\text{mm}$ is joined in series with an iron wire of length $2\text{m}$ and radius $3\text{mm}$, and a current is passed through the wires. The ratio of the current density in the copper and iron wires is: