50278 + Interview Questions in Physics Page 137 InterviewSolution

6801.	Two small identical parallel plate capacitors are arranged along a line. The sepration r between the capacitors is much larger than the separation between plates l of each capacitor (r very greater than l ). The capacitors are charged to q1 and q2 respectively.Then find force between capacitors and electric field produced by first capacitor over other?
Answer» Two small identical parallel plate capacitors are arranged along a line. The sepration r between the capacitors is much larger than the separation between plates l of each capacitor (r very greater than l ). The capacitors are charged to q1 and q2 respectively.Then find force between capacitors and electric field produced by first capacitor over other?

Discussion

6802.	Do speed and velocity has the same dimension? How?
Answer» Do speed and velocity has the same dimension? How?

Discussion

6803.	A train of mass 107 kg is running on level road with a uniform speed of 72 km/hr. The frictional force is 0.25 N per 100 kg. The power of engine is
Answer» A train of mass 107 kg is running on level road with a uniform speed of 72 km/hr. The frictional force is 0.25 N per 100 kg. The power of engine is

Discussion

6804.	Consider a metal used to produced some charateristic X - rays. Energy of X - rays are given by E and wavelength as represented by λ. Then which of the following is true:
Answer» Consider a metal used to produced some charateristic X - rays. Energy of X - rays are given by E and wavelength as represented by $λ$ . Then which of the following is true:

Discussion

6805.	A thin spherical conducting shell is uniformly charged. The electric potential energy of shell will be :(Charge on shell is q0 & radius is R)
Answer» A thin spherical conducting shell is uniformly charged. The electric potential energy of shell will be : $($ Charge on shell is $q_{0}$ & radius is $R)$

Discussion

6806.	If area of velocity-time graph gives us displacement the which graph give us dis†an ce ?
Answer» If area of velocity-time graph gives us displacement the which graph give us dis†an ce ?

Discussion

6807.	Electric field strength due to extended charge body derivation?
Answer» Electric field strength due to extended charge body derivation?

Discussion

6808.	A car weighs 1800 kg. The distance between its front and back axles is 1.8 m. Its centre of gravity is 1.05 m behind the front axle. Determine the force exerted by the level ground on each front wheel and each back wheel.
Answer» A car weighs 1800 kg. The distance between its front and back axles is 1.8 m. Its centre of gravity is 1.05 m behind the front axle. Determine the force exerted by the level ground on each front wheel and each back wheel.

Discussion

6809.	ntFour thin uniform rods each of length l and mass m are joined to form a square about an axis along its diagonal is ?n
Answer» ntFour thin uniform rods each of length l and mass m are joined to form a square about an axis along its diagonal is ?n

Discussion

6810.	A body 8s dropped from height H. The time taken to cover second half of the journey is? ( in terms of H)
Answer» A body 8s dropped from height H. The time taken to cover second half of the journey is? ( in terms of H)

Discussion

6811.	A ball of mass 20 g dropped over a large horizontal surface from a height of 5 m, collides elatically with the surface. If the collision lasts for 10^{-2} s, which of the following statement is true? (g=10 m/s^2) (1) The impulse imparted to the ball is 0.4 n-s (2) Force applied by the ball on the flower is 50 N (3) The impulse imparted to the ball is 0.2 N-s (4) Force exerted by the surface on the ball is 0.2 N
Answer» A ball of mass 20 g dropped over a large horizontal surface from a height of 5 m, collides elatically with the surface. If the collision lasts for 10^{-2} s, which of the following statement is true? (g=10 m/s^2) (1) The impulse imparted to the ball is 0.4 n-s (2) Force applied by the ball on the flower is 50 N (3) The impulse imparted to the ball is 0.2 N-s (4) Force exerted by the surface on the ball is 0.2 N

Discussion

6812.	Which one of thefollowing curves represents the variation of impedance (Z) with frequency f inseries LCR circuit
Answer» Which one of the following curves represents the variation of impedance (Z) with frequency f in series LCR circuit

6812.

Which one of thefollowing curves represents the variation of impedance (Z) with frequency f inseries LCR circuit

Answer»

Which one of the
following curves represents the variation of impedance (Z) with frequency f in
series LCR circuit

Discussion

6813.	Four bulbs having powers 25 W, 40 W, 60 W and 100 W ate connected in series and this combination is connected across the mains. Find which bulb has highest potential difference and Lowest potential difference.
Answer» Four bulbs having powers 25 W, 40 W, 60 W and 100 W ate connected in series and this combination is connected across the mains. Find which bulb has highest potential difference and Lowest potential difference.

Discussion

6814.	A wire of resistance 16 Ω is bent to form a closed circle. Two points on its circumference, situated quarter of the circumference apart, are connected to a cell of emf 2 V and internal resistance 1 Ω. Calculate the current in each part of the circuit.
Answer» A wire of resistance $16 Ω$ is bent to form a closed circle. Two points on its circumference, situated quarter of the circumference apart, are connected to a cell of emf 2 V and internal resistance $1 Ω$ . Calculate the current in each part of the circuit.

Discussion

6815.	22.6 ohm and 12 ohm resistors are connected in parallel.This combination is connected to series with a 10 V battery and 6ohm resistor. What is the potential difference between the terminals of the 12 ohm resistance?
Answer» 22.6 ohm and 12 ohm resistors are connected in parallel.This combination is connected to series with a 10 V battery and 6ohm resistor. What is the potential difference between the terminals of the 12 ohm resistance?

Discussion

6816.	A particle of mass m =2 kg is suspended by a string of length l =1m is whirled in a vertical circle about point O. The particle is given a horizontal velocity of 10 m/s at lowest point. The centripetal or normal acceleration of particle at highest point is an=10pm/s2. Find the value of p.___
Answer» A particle of mass m =2 kg is suspended by a string of length l =1m is whirled in a vertical circle about point O. The particle is given a horizontal velocity of 10 m/s at lowest point. The centripetal or normal acceleration of particle at highest point is $a_{n} = 10 p m / s^{2}$ . Find the value of p.___

Discussion

6817.	A man is 45m behind the bus when the bus statt accelerating from rest with acceleration 2.5 m/s².with what minimum velocoty should the man start running to catch the bus?
Answer» A man is 45m behind the bus when the bus statt accelerating from rest with acceleration 2.5 m/s².with what minimum velocoty should the man start running to catch the bus?

Discussion

6818.	A bob attached to a light string of length 10 m is given an initial velocity of 20 m/s at the bottom-most point to perform vertical circular motion. What will be the velocity of bob just before slacking of string? (Take g=10 m/s2)
Answer» A bob attached to a light string of length $10 m$ is given an initial velocity of $20 m/s$ at the bottom-most point to perform vertical circular motion. What will be the velocity of bob just before slacking of string? (Take $g = 10 m / s^{2}$ )

Discussion

6819.	what is factor
Answer» what is factor

Discussion

6820.	Water leaks out from an open tank through a hole of area 2 mm^2 in the bottom. Suppose water is filled upto a height of 80 cm and the area of the cross section of the tank is 0.4 m^2. The pressure at the open surface and at hole are equal to atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank. a) Find the volume of water leaked out during a time interval dt after the height of water remained is h. Also find the decrease in height dh in terms of h and dt. b) From the result of previous question find the time required for half of the water to leak out.
Answer» Water leaks out from an open tank through a hole of area 2 mm^2 in the bottom. Suppose water is filled upto a height of 80 cm and the area of the cross section of the tank is 0.4 m^2. The pressure at the open surface and at hole are equal to atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank. a) Find the volume of water leaked out during a time interval dt after the height of water remained is h. Also find the decrease in height dh in terms of h and dt. b) From the result of previous question find the time required for half of the water to leak out.

6820.

Water leaks out from an open tank through a hole of area 2 mm^2 in the bottom. Suppose water is filled upto a height of 80 cm and the area of the cross section of the tank is 0.4 m^2. The pressure at the open surface and at hole are equal to atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank. a) Find the volume of water leaked out during a time interval dt after the height of water remained is h. Also find the decrease in height dh in terms of h and dt. b) From the result of previous question find the time required for half of the water to leak out.

Answer»

Water leaks out from an open tank through a hole of area 2 mm^2 in the bottom. Suppose water is filled upto a height of 80 cm and the area of the cross section of the tank is 0.4 m^2. The pressure at the open surface and at hole are equal to atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank.

a) Find the volume of water leaked out during a time interval dt after the height of water remained is h. Also find the decrease in height dh in terms of h and dt.

b) From the result of previous question find the time required for half of the water to leak out.

Discussion

6821.	when a tension F is applied in uniform wire of length l and radius r, the elongation produced is e.when tension 2F is applied, the elongation produced in another uniform wire of length 2l and radius 2r made of same material is
Answer» when a tension F is applied in uniform wire of length l and radius r, the elongation produced is e.when tension 2F is applied, the elongation produced in another uniform wire of length 2l and radius 2r made of same material is

Discussion

6822.	The rear side of a truck is open and a box of 40 kg mass is placed 5 m away from the open end as shown in Fig. 5.22. The coefficient of friction between the box and the surface below it is 0.15. On a straight road, the truck starts from rest and accelerates with 2 m s¯². At what distance from the starting point does the box fall off the truck? (Ignore the size of the box).
Answer» The rear side of a truck is open and a box of 40 kg mass is placed 5 m away from the open end as shown in Fig. 5.22. The coefficient of friction between the box and the surface below it is 0.15. On a straight road, the truck starts from rest and accelerates with 2 m s¯². At what distance from the starting point does the box fall off the truck? (Ignore the size of the box).

Discussion

6823.	Charge of 2Q and -Q are placed on two plates of a parallel plate capacitor if capaci†an ce of capacitor is C find potential difference between the plates.
Answer» Charge of 2Q and -Q are placed on two plates of a parallel plate capacitor if capaci†an ce of capacitor is C find potential difference between the plates.

Discussion

6824.	Imagine if we were travelling at the speed of light, would light seemto us as a particle or a stationary wave?
Answer» Imagine if we were travelling at the speed of light, would light seemto us as a particle or a stationary wave?

Discussion

6825.	a capacitor with plate separation d is charged to V volts. the battery is disconnected and a dielectric slab of thickness d/2 and dielectric constant 2 is inserted between the plates. The potential difference across its terminal becomes
Answer» a capacitor with plate separation d is charged to V volts. the battery is disconnected and a dielectric slab of thickness d/2 and dielectric constant 2 is inserted between the plates. The potential difference across its terminal becomes

Discussion

6826.	A block of mass 2kg rests on a rough horizontal plank the coefficient of friction between the plank and block os 0.3 if the plank is pulled horizontally with a constant acceleration of 4m/sec2 the distance moved by the block on the plank in 5sec starting from rest
Answer» A block of mass 2kg rests on a rough horizontal plank the coefficient of friction between the plank and block os 0.3 if the plank is pulled horizontally with a constant acceleration of 4m/sec2 the distance moved by the block on the plank in 5sec starting from rest

Discussion

6827.	Three point masses m1=2kg , m2=4kg and m3=6kg are kept at the three corners of an equilateral triangle of side 1m. Find the location of Centre of mass
Answer» Three point masses m1=2kg , m2=4kg and m3=6kg are kept at the three corners of an equilateral triangle of side 1m. Find the location of Centre of mass

Discussion

6828.	The value of ∫sinxsin3xdx is(where C is integration constant)
Answer» The value of $\int \frac{sin x}{sin 3 x} d x$ is (where $C$ is integration constant)

Discussion

6829.	how to change 0^{infinity} form to 1^{infinty} form?
Answer» how to change 0^{infinity} form to 1^{infinty} form?

Discussion

6830.	18.A body of of mass 1kg is projected from ground at an angle of 30^° with horizontal on a level ground at a speed of 50m/s. The magnitude of change in momentum of body during during its flight is (g=10m/s²)
Answer» 18.A body of of mass 1kg is projected from ground at an angle of 30^° with horizontal on a level ground at a speed of 50m/s. The magnitude of change in momentum of body during during its flight is (g=10m/s²)

Discussion

6831.	The rate constant for the first order decomposition of H2O2 is given by the following equation: log k=14.2−1.0×104KT Calculate Ea for this reaction and rate constant k of its half-life period be 200 minutes. ( Given: R= 8.314 JK−1mol−1
Answer» The rate constant for the first order decomposition of $H_{2} O_{2}$ is given by the following equation: $l o g k = 14.2 - \frac{1.0 \times 10^{4} K}{T}$ Calculate $E_{a}$ for this reaction and rate constant k of its half-life period be 200 minutes. ( Given: R= $8.314 J K^{- 1} m o l^{- 1}$

Discussion

6832.	The temperature of 5 moles of a gas at constant volume is changed from 100 celcius to 120 degree celcius.The change in internal energy is 80 J.The total heat capacity of the gas at costant volume will be in joule/K
Answer» The temperature of 5 moles of a gas at constant volume is changed from 100 celcius to 120 degree celcius.The change in internal energy is 80 J.The total heat capacity of the gas at costant volume will be in joule/K

Discussion

6833.	A block of mass m is attached with a massless spring of force constant k. The block is placed over a rough inclined surface for which the coefficient of friction is μ=34. The minimum value of M required to moved the block up the plane is (Neglect mass of pulley, string and friction in pulley).
Answer» A block of mass $m$ is attached with a massless spring of force constant $k$ . The block is placed over a rough inclined surface for which the coefficient of friction is $μ = \frac{3}{4}$ . The minimum value of $M$ required to moved the block up the plane is (Neglect mass of pulley, string and friction in pulley).

Discussion

6834.	There exists a uniform electric field E-4 x 105 Vm1directed along negative x-axis such that electricpotential at origin is zero. A charge of-200 JuC isplaced at origin, and a charge of +200 uC is placed at3 m, 0). The electrostatic potential energy of thesystem is(1) 120 J3) -240 J(2) -120,J(4) Zerooices of a
Answer» There exists a uniform electric field E-4 x 105 Vm1directed along negative x-axis such that electricpotential at origin is zero. A charge of-200 JuC isplaced at origin, and a charge of +200 uC is placed at3 m, 0). The electrostatic potential energy of thesystem is(1) 120 J3) -240 J(2) -120,J(4) Zerooices of a

Discussion

6835.	A particle has intial velocity of 10m/s due east and a constant acceleration of 2m/s due west . Find the distance travel in first 7sec 1)29 2)21 3)27 4)25
Answer» A particle has intial velocity of 10m/s due east and a constant acceleration of 2m/s due west . Find the distance travel in first 7sec 1)29 2)21 3)27 4)25

Discussion

6836.	A boy on a cycle pedals around a circle of 20 metres radius at a speed of The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that it may not fall is (g=9.8 m/sec2)
Answer» A boy on a cycle pedals around a circle of 20 metres radius at a speed of The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that it may not fall is $(g = 9.8 m / s e c^{2})$

Discussion

6837.	A body of mass M kg is suspended by a weightless string.calculate the horizontol force that is required to displace it untill the string makes an angle of 45 degree with the initial vertical direction
Answer» A body of mass M kg is suspended by a weightless string.calculate the horizontol force that is required to displace it untill the string makes an angle of 45 degree with the initial vertical direction

Discussion

6838.	The momentum of a photon is 3.3×10−29kg−m/sec. Its frequency will be
Answer» The momentum of a photon is $3.3 \times 10^{- 29} k g - m / s e c$ . Its frequency will be

Discussion

6839.	Write the formula for capacity of parallel plate air capacitor with metal sheet of thickness in between the plates
Answer» Write the formula for capacity of parallel plate air capacitor with metal sheet of thickness in between the plates

Discussion

6840.	A point charge Q is placed just outside a cube of side 'a' near corner H. Flux of electric field associated with face ABCD is
Answer» A point charge Q is placed just outside a cube of side 'a' near corner H. Flux of electric field associated with face ABCD is

Discussion

6841.	Four hollow spheres, each of mass m=1 kg and radius 0.5 m are located with their centres on four corners of a square of side 2 m, find the moment of inertia of the system of four spheres about the diagonal of square.
Answer» Four hollow spheres, each of mass $m = 1 k g$ and radius $0.5 m$ are located with their centres on four corners of a square of side $2 m$ , find the moment of inertia of the system of four spheres about the diagonal of square.

Discussion

6842.	A particle is moving on x-axis has potential energy U=2−20x+5x2 joules along x-axis. The particle is released at x = – 3. If the mass of the particle is 0.1 kg and the maximum velocity of the particle (in m/s) is 10x, the value of x is ___ .
Answer» A particle is moving on x-axis has potential energy $U = 2 - 20 x + 5 x^{2}$ joules along x-axis. The particle is released at x = – 3. If the mass of the particle is 0.1 kg and the maximum velocity of the particle (in m/s) is 10x, the value of x is ___ .

Discussion

6843.	Total electric flux coming out of a unit positive charge put in air is
Answer» Total electric flux coming out of a unit positive charge put in air is

6843.

Total electric flux coming out of a unit positive charge put in air is

Answer»

Total electric flux coming out of a unit positive charge put in air is

Discussion

6844.	The current in a certain circuit varies with time, as shown in the figure. Find the average current for a full cycle.
Answer» The current in a certain circuit varies with time, as shown in the figure. Find the average current for a full cycle.

Discussion

6845.	If 100π∫0sin2xe(xπ−[xπ])dx=απ31+4π2,α ∈ R, where [x] is the greatest integer less than or equal to x, then the value of α is:
Answer» If $100 π \int 0 \frac{{sin}^{2} x}{e^{(\frac{x}{π} - [\frac{x}{π}])}} d x = \frac{α π^{3}}{1 + 4 π^{2}}, α \in R,$ where $[x]$ is the greatest integer less than or equal to $x$ , then the value of $α$ is:

Discussion

6846.	In an ore at the time of estimation, the ratio of U^{238} to Pb^{206} is 1:7. Calculate the age of ore, assuming that all the lead present in the ore is the final stable product of U^{238}(half life of U^{238}=4.5×10^9) (1)1.87×10^9years (2)13.5×10^9years (3)8.5×10^9years (4)9×10^9 years
Answer» In an ore at the time of estimation, the ratio of U^{238} to Pb^{206} is 1:7. Calculate the age of ore, assuming that all the lead present in the ore is the final stable product of U^{238}(half life of U^{238}=4.5×10^9) (1)1.87×10^9years (2)13.5×10^9years (3)8.5×10^9years (4)9×10^9 years

Discussion

6847.	A block mass 6kg is kept in equilibrium with the help of strings with 30degree. The tension in strin
Answer» A block mass 6kg is kept in equilibrium with the help of strings with 30degree. The tension in strin

Discussion

6848.	A current of 5 A is passing through a metallic wire of cross sectional area 14×10−6 m2. If the density of the charge carries in the wire is 5×1026 C/m3, the drift speed of the electrons.
Answer» A current of $5 A$ is passing through a metallic wire of cross sectional area $14 \times 10^{- 6} m^{2}$ . If the density of the charge carries in the wire is $5 \times 10^{26} {C/m}^{3}$ , the drift speed of the electrons.

Discussion

6849.	Evaluate the value of tan63∘+cot23∘tan27∘+cot67∘−tan63∘tan67∘.
Answer» Evaluate the value of $\frac{t a n 63^{\circ} + c o t 23^{\circ}}{t a n 27^{\circ} + c o t 67^{\circ}} - t a n 63^{\circ} t a n 67^{\circ}$ .

Discussion

6850.	An object thrown vertically upward from ground passes the height of 5m twice in interval of 10s. Find its time of flight.
Answer» An object thrown vertically upward from ground passes the height of 5m twice in interval of 10s. Find its time of flight.

Discussion

Explore topic-wise InterviewSolutions in .

Do speed and velocity has the same dimension? How?

A train of mass 107 kg is running on level road with a uniform speed of 72 km/hr. The frictional force is 0.25 N per 100 kg. The power of engine is

Consider a metal used to produced some charateristic X - rays. Energy of X - rays are given by E and wavelength as represented by λ. Then which of the following is true:

A thin spherical conducting shell is uniformly charged. The electric potential energy of shell will be :(Charge on shell is q0 &amp; radius is R)

If area of velocity-time graph gives us displacement the which graph give us dis†an ce ?

Electric field strength due to extended charge body derivation?

A car weighs 1800 kg. The distance between its front and back axles is 1.8 m. Its centre of gravity is 1.05 m behind the front axle. Determine the force exerted by the level ground on each front wheel and each back wheel.

ntFour thin uniform rods each of length l and mass m are joined to form a square about an axis along its diagonal is ?n

A body 8s dropped from height H. The time taken to cover second half of the journey is? ( in terms of H)

Which one of thefollowing curves represents the variation of impedance (Z) with frequency f inseries LCR circuit

Four bulbs having powers 25 W, 40 W, 60 W and 100 W ate connected in series and this combination is connected across the mains. Find which bulb has highest potential difference and Lowest potential difference.

A wire of resistance 16 Ω is bent to form a closed circle. Two points on its circumference, situated quarter of the circumference apart, are connected to a cell of emf 2 V and internal resistance 1 Ω. Calculate the current in each part of the circuit.

22.6 ohm and 12 ohm resistors are connected in parallel.This combination is connected to series with a 10 V battery and 6ohm resistor. What is the potential difference between the terminals of the 12 ohm resistance?

A particle of mass m =2 kg is suspended by a string of length l =1m is whirled in a vertical circle about point O. The particle is given a horizontal velocity of 10 m/s at lowest point. The centripetal or normal acceleration of particle at highest point is an=10pm/s2. Find the value of p.___

A man is 45m behind the bus when the bus statt accelerating from rest with acceleration 2.5 m/s².with what minimum velocoty should the man start running to catch the bus?

A bob attached to a light string of length 10 m is given an initial velocity of 20 m/s at the bottom-most point to perform vertical circular motion. What will be the velocity of bob just before slacking of string? (Take g=10 m/s2)

what is factor

when a tension F is applied in uniform wire of length l and radius r, the elongation produced is e.when tension 2F is applied, the elongation produced in another uniform wire of length 2l and radius 2r made of same material is

Charge of 2Q and -Q are placed on two plates of a parallel plate capacitor if capaci†an ce of capacitor is C find potential difference between the plates.

Imagine if we were travelling at the speed of light, would light seemto us as a particle or a stationary wave?

a capacitor with plate separation d is charged to V volts. the battery is disconnected and a dielectric slab of thickness d/2 and dielectric constant 2 is inserted between the plates. The potential difference across its terminal becomes

A block of mass 2kg rests on a rough horizontal plank the coefficient of friction between the plank and block os 0.3 if the plank is pulled horizontally with a constant acceleration of 4m/sec2 the distance moved by the block on the plank in 5sec starting from rest

Three point masses m1=2kg , m2=4kg and m3=6kg are kept at the three corners of an equilateral triangle of side 1m. Find the location of Centre of mass

The value of ∫sinxsin3xdx is(where C is integration constant)

how to change 0^{infinity} form to 1^{infinty} form?

18.A body of of mass 1kg is projected from ground at an angle of 30^° with horizontal on a level ground at a speed of 50m/s. The magnitude of change in momentum of body during during its flight is (g=10m/s²)

The rate constant for the first order decomposition of H2O2 is given by the following equation: log k=14.2−1.0×104KT Calculate Ea for this reaction and rate constant k of its half-life period be 200 minutes. ( Given: R= 8.314 JK−1mol−1

The temperature of 5 moles of a gas at constant volume is changed from 100 celcius to 120 degree celcius.The change in internal energy is 80 J.The total heat capacity of the gas at costant volume will be in joule/K

A block of mass m is attached with a massless spring of force constant k. The block is placed over a rough inclined surface for which the coefficient of friction is μ=34. The minimum value of M required to moved the block up the plane is (Neglect mass of pulley, string and friction in pulley).

A particle has intial velocity of 10m/s due east and a constant acceleration of 2m/s due west . Find the distance travel in first 7sec 1)29 2)21 3)27 4)25

A boy on a cycle pedals around a circle of 20 metres radius at a speed of The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that it may not fall is (g=9.8 m/sec2)

A body of mass M kg is suspended by a weightless string.calculate the horizontol force that is required to displace it untill the string makes an angle of 45 degree with the initial vertical direction

The momentum of a photon is 3.3×10−29kg−m/sec. Its frequency will be

Write the formula for capacity of parallel plate air capacitor with metal sheet of thickness in between the plates

A point charge Q is placed just outside a cube of side 'a' near corner H. Flux of electric field associated with face ABCD is

Four hollow spheres, each of mass m=1 kg and radius 0.5 m are located with their centres on four corners of a square of side 2 m, find the moment of inertia of the system of four spheres about the diagonal of square.

A particle is moving on x-axis has potential energy U=2−20x+5x2 joules along x-axis. The particle is released at x = – 3. If the mass of the particle is 0.1 kg and the maximum velocity of the particle (in m/s) is 10x, the value of x is ___ .

Total electric flux coming out of a unit positive charge put in air is

The current in a certain circuit varies with time, as shown in the figure. Find the average current for a full cycle.

If 100π∫0sin2xe(xπ−[xπ])dx=απ31+4π2,α ∈ R, where [x] is the greatest integer less than or equal to x, then the value of α is:

In an ore at the time of estimation, the ratio of U^{238} to Pb^{206} is 1:7. Calculate the age of ore, assuming that all the lead present in the ore is the final stable product of U^{238}(half life of U^{238}=4.5×10^9) (1)1.87×10^9years (2)13.5×10^9years (3)8.5×10^9years (4)9×10^9 years

A block mass 6kg is kept in equilibrium with the help of strings with 30degree. The tension in strin

A current of 5 A is passing through a metallic wire of cross sectional area 14×10−6 m2. If the density of the charge carries in the wire is 5×1026 C/m3, the drift speed of the electrons.

Evaluate the value of tan63∘+cot23∘tan27∘+cot67∘−tan63∘tan67∘.

An object thrown vertically upward from ground passes the height of 5m twice in interval of 10s. Find its time of flight.

A thin spherical conducting shell is uniformly charged. The electric potential energy of shell will be :(Charge on shell is q0 & radius is R)