An open glass tube is immersed in mercury so that a length of `8 cm` of the tube projects above the mercury. The tube is then closed and raised through `44 cm`. What length of the tube will be occupied by the air after it has been raised? Given `1` atm `= 76 cm` of Hg.
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A small wooden ball of density `rho` is immersed in water of density `sigma` to depth h and then released. The height H above the surface of water up
Correct Answer - B Work done against Buyonancy = gain of gravitational potential energy `(B-W)h=WH` `H=((B)/(W)-1)h" "implies H=((sigma)/(rho)-1)h`
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A fountain jet situated at a height of 11.25 m above the ground projects water droplets in all directions with velocity of 20 m/s. Calculate the maxim
Correct Answer - A If we take both discs as system. There is No external torque on system. implies Angular momentum should be conserved. `implies (2mr^(2))/(2)omega=[(2mr^(2))/(2)+(mr^(2))/(2)]omegaimplies mr^(2)omega_(0)=(3)/(2)mr^(2)omegaimpliesomega=(2omega_(0))/(3)`
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For hyperbola whose center is at (1, 2) and the asymptotes are parallel to lines `2x+3y=0` and `x+2y=1` , the equation of the hyperbola passing throug
Correct Answer - B Let the asymptotes be `2x+3y+lambda_(1)=0 and x+2y+lambda_(2)=0`. It will pass through the centre (1, 2). Hence, `lambda_(2)=-8, lambda_(2)=-5` The equation of the hyperbola is `(2x+3y-8)(x+2y-5)+lambda=0` It passes...
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A cylindrical tube has a length of 60 cm. Three identical convex lenses, each of focal length `f = 10` cm are fixed inside the tube, one at each of th
Correct Answer - The image does not move
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An achromatic objective of focal length 1.5m is to be constructed with a crown glass convex lens `(mu=1.51, omega=0.21)` and a flint glass concave len
Correct Answer - 0.18m (convergent)
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In the circuit shown in Fig, initially `K_(1)` is closed and `K_(2)` is open . What are the charges on each capacitor. Then `K_(1)` was opened and `K_
Correct Answer - `"case I:" Q_(1) =18 mu C, Q_(2) = 9mu C"and"Q_(3)=0` `"case I:" Q_(2) =9/2 mu C, Q_(3) = 9/2mu C
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The electric field in a region is given by `E=alphaxhati`. Here `alpha` is a constant of proper dimensions. Find a. the total flux passing throug a cu
Correct Answer - `(a)sigmal^(3),(b)sigmaepsi_(0)l^(3)`
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A narrow uniform glass tube contains air enclosed by 15 cm long thread of mercury. When the tube is vertical with open end uppermost, the air column i
Correct Answer - `75` cm of Hg
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A double convex lens has radii 20 cm. The index of refraction of glass is 1.5. Compute the focal length of this lens in air and when immersed in carbo
Correct Answer - 20 cm, - 125.4 cm
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The charge flowing throug a conductor beginning with time to=0 is given by the formula `q=2t^(2)+3t+1` (coulombs). Find the current `i=(dq)/(dt)` at t
Correct Answer - 23 Amp.
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