Practice Set 1
A plane electromagnetic wave of frequency 25 GHz is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic field is given by vector B = 5 x 10^-8 j T. The corresponding electric field vector E is (speed of light c = 3 × 10^8 ms–1)
23
Sep
A plane electromagnetic wave of frequency 25 GHz is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic field is given by vector B = 5 x 10^-8 j T. The corresponding electric field vector E is (speed of light c = 3 × 10^8 ms–1) A plane [...]
As shown in figure, when a spherical cavity (centred at O) of radius 1 is cut out of a uniform sphere of radius R (centred at C), the centre of mass of remaining (shaded) part of sphere is at G, i.e, on the surface of the cavity. R can be determined by the equation :
23
Sep
As shown in figure, when a spherical cavity (centred at O) of radius 1 is cut out of a uniform sphere of radius R (centred at C), the centre of mass of remaining (shaded) part of sphere is at G, i.e, on the surface of the cavity. R can be determined by the equation : [...]
A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically upwards from the ground with a speed of √2gh. If they collide head-on completely inelastically, the time taken for the combined mass to reach the ground, in units of √(h/g) is :
23
Sep
A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically upwards from the ground with a speed of √2gh. If they collide head-on completely inelastically, the time taken for the combined mass to reach the ground, in units [...]
A simple pendulum is being used to determine the value of gravitational acceleration g at a certain place. The length of the pendulum is 25.0 cm and a stop watch with 1s resolution measures the time taken for 40 oscillations to be 50 s. The accuracy in g is :
23
Sep
A simple pendulum is being used to determine the value of gravitational acceleration g at a certain place. The length of the pendulum is 25.0 cm and a stop watch with 1s resolution measures the time taken for 40 oscillations to be 50 s. The accuracy in g is : Which of the following gives [...]
A shown in the figure, a battery of emf H is connected to an inductor L and resistance R in series. The switch is closed at t = 0. The total charge that flows from the battery, between t = 0 and t = tc (tc is the time constant of the circuit) is
23
Sep
A shown in the figure, a battery of emf H is connected to an inductor L and resistance R in series. The switch is closed at t = 0. The total charge that flows from the battery, between t = 0 and t = tc (tc is the time constant of the circuit) is a [...]
A body of mass �=0.1 �� has an initial velocity of 3 ^ i �/�. It collides elastically with another body, B of the mass which has an initial velocity of 5 ^ j �/�. After collision, A moves with a velocity v = 4 ( ^ i + ^ j ) �/�. The energy of B after collision is written as (�/10) �, the value of � is
23
Sep
A body of mass �=0.1 �� has an initial velocity of 3 ^ i �/�. It collides elastically with another body, B of the mass which has an initial velocity of 5 ^ j �/�. After collision, A moves with a velocity v = 4 ( ^ i + ^ j ) �/�. The energy [...]
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A body of mass �=0.1 �� has an initial velocity of 3 ^ i �/�. It collides elastically with another body ,
A moves with a velocity v = 4 ( ^ i + ^ j ) �/�. The energy of B after collision is written as (�/10) � ,
B of the mass which has an initial velocity of 5 ^ j �/�. After collision ,
the value of � is ,
A point object in air is in front of the curved surface of a plano-convex lens. The radius of curvature of the curved surface is 30 cm and the refractive index of the lens material is 1.5 , then the focal length of the lens ( in cm ) is
23
Sep
A point object in air is in front of the curved surface of a plano-convex lens. The radius of curvature of the curved surface is 30 cm and the refractive index of the lens material is 1.5 , then the focal length of the lens ( in cm ) is A point object in air [...]
A particle is moving along the x-axis with its coordinate with time t given by x(t) = 10 + 8t – 3t^2. Another particle is moving along the y-axis with its coordinate as a function of time given by y = 5 – 8t^3 m. At t = 1 s, the speed of the second particle as measured in the frame of the first particle is given as √v . Then v (m/s) is
23
Sep
A particle is moving along the x-axis with its coordinate with time t given by x(t) = 10 + 8t – 3t^2. Another particle is moving along the y-axis with its coordinate as a function of time given by y = 5 – 8t^3 m. At t = 1 s, the speed of the second [...]
A one meter long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is 300m/s, the frequency difference between the fundamental and second harmonic of this pipe is ________Hz.
23
Sep
A one meter long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is 300m/s, the frequency difference between the fundamental and second harmonic of this pipe is ________Hz. A one meter long (both ends open) [...]
Four resistances of 15 Ω, 12 Ω, 4 Ω and 10 Ω respectively in cyclic order to form Wheatstone’s network. The resistance that is to be connected in parallel with the resistance of 10 Ω to balance the network is ________Ω.
23
Sep
Four resistances of 15 Ω, 12 Ω, 4 Ω and 10 Ω respectively in cyclic order to form Wheatstone’s network. The resistance that is to be connected in parallel with the resistance of 10 Ω to balance the network is ________Ω. 12 Ω 4 Ω and 10 Ω respectively in cyclic order to form Wheatstone's [...]